Physics straight and curved ruh. Straight and crooked ruch. Rukh tila on a stake with a post-lay behind the module shvidkistyu. Rukh straight and curved
The power, which is good for the soul, can change its speed in modulus, so it can be done directly.
Power butt, change rate modulo- the strength of the window, to press on the window.
Such is the power of wiklikє straight ruh tila.
The butt of the force, yak, the speed is right - docentral power unscrewed vantage on motuzs
Qia force to produce up curvilinear roll.
As soon as one collapses on a stake with a post-by-line module behind the module, then it is quickened to be called an associate center, directed to the center of the stake and to be counted according to the formula:
a = v 2 / r, de v - swiftness, r - radius cola
a = ω 2 * r, de w - tse kutova shvidkist tila per number in radians per second.
At the zagalnyy vipad on tіlo dіyut strength, wіll change the speed і straight, і modulo. The application of representations to the little one - gravitational force at once і galmuє companion, і victorious traktorіyu:
In such cases, it seems that the strength is tangential and normal. Tangential warehouse strength- tse that, which is straightened bridging (or against) shvidkostі і rozganyaє (abo upovіlnyuє) tіlo.
Warehouse strength is normal- ceta, scho diє perpendicular to the ruff and the change straight ahead.
For a curved trajectory in any point, it is possible to use the radius of curvature for the formula:
R \ u003d v 2 / a n, de v is the price of the property, and a n is normal (perpendicular to the speed) of the warehouse.
Reduction lesson i /
Topic: Curvilinear ruh. Rivnomirniy ruh of material point on a stake.
Meta lesson: the formulation in uyavlennya about curvilinear rusi, frequency, kutovom permischenny, period. Oznajomiti with formulas for the meaning of qih values and units of vimir.
zavdannya:
lighting
:
to give the information about curvilinear rus yogo traktorії, the values of yogo characterize, units vimir cikh values and formulas for calculation.
expanding
:
to promote the form practical buildings, Development of interest to the subject and logical misinterpretation.
Vikhovna
:
prodovzhuvati develop the horizons of scholars; vminnya to keep records in zoshits, sposterіgati, mark the laws of appearances, argumentation of your visnovka.
Lesson type combinations
methods: Innocent, verbal, elements of critical misleading, demonstration experiment.
Ustatkuvannya: abduction of a zholob, a bag, a bag for strings, a toy car, a dziga, a model of a year with arrows, a multimedia projector, a presentation.
XID LESSON
Psychological attitude.
Perevirk homework.
Frontal opituvannya stor 24-25 Feeding for self-control.
Reconstruction of the solution of the booths. tasks Control 5 (2,3)
3.Visa.
– Do you know what you see?
How does one come to collapse one in one?
- Why do we find ourselves straight and crooked?
- In any system of video, can you talk about it?
- Adjust the trajectory and paths for straight and curved rucks.
2. Explanation of the new material in the context of the demonstration experiment and discussion.
Teacher Demonstration: dropping the bag vertically, yogoing along the groove, wrapping the bag on strings, moving the toy car on the table, dropping the tennis ball thrown down to the horizon.
Teacher. What is the trajectory of the proponated bodies? (Vidpovidi scholars)
Try your own date value
curvilinear і rectilinear rukhіv. (Entry from zoshitah):
- straight line collapse - collapse along a straight line ;
– curved rox - rox along an indirect path.
Look out two butts of a crooked ruch: along the lamina line and along the curves
Teacher: What is the center of the trajectory?
The scholar. At the first vypadku traєktorіyu it is possible to break on the straight lines of the file and to look at the skin of the window okremo. In the other, it is possible to break the curve into arcs of keels and straight lines. In such a rank, the whole rukh can be seen as the last of the rukhs, as they are seen along the arcs of the ruch radius
Teacher. To guide the butt of a straight and curved ruff, with which they were created in life.
Teacher. Rukh on a stake often characterizes not a shvidk_styu ruha, but in the interim, for which only one new wrap is rocked. Qia quantity to be called period wrapping and is known by the letter T. (Write down the value of the period).
Povidomlennya uchnya. Period is a value, as it is often seen in nature and technology... So, we know. The Earth is wrapped around its axis and the middle period is wrapped for 24 years. A new wrap around the Earth near the Sontsya will take about 365.26 add. The robochі wheels of the turbines rotate one re-revolution per hour, which takes 1 second. And the gwent of the helicopter can be wrapped from 0.15 to 0.3 seconds. The period of blood circulation in humans is approximately 21-22 seconds.
Teacher. Rukh tila for a stake can be characterized by one value - the number of revolutions per hour. її call frequent frequency: ν = 1 / T. The unit of frequency variation: s -1 = Hz. ( Write down the value, one and the formula)
Povidomlennya uchnya. The number of parts of the tractor's engines could be the frequency of wrapping from 60 to 100 revolutions per second. The rotor of the gas turbine is wrapped at a frequency of 200 to 300 r / s. Kulya, wiletak from a Kalashnikov assault rifle, wrap around at a frequency of 3000 r / s.
To change the frequency, use the so-called cola for the variable frequency, based on optical illusions. On such a number of black pigments are applied and there are frequencies. When wrapped in such a cola, black smugs make a colo with a cola of frequency. Also for vimіryuvannya frequency and vikoristovuyut tachometry .
Robot with folding of comprehensible tables, vikoristovuchi§7
period wrapping
T = 1 / ν
T = t / n
about an hour, for how long to rob one new wrap
beating frequency
s -1 = Hz.
ν = 1 / T
ν = n / t
number of revolutions per hour
cycle frequency
glad / s
= 2 ν
= 2 / T
4. Closing the material of the Teacher. At a certain level, I learned about the description of the curved ruff, with new understandings and values. Give me a message on the next meal:
- How can you describe the crooked ruh?
- What is called kutovym displacement? In which odnitsy vimіryuєtsya?
- What is called period and frequency? Yak tied with a size? In which ones do you find yourself? How can you make a difference?
6. Control and self-revision
Teacher.Next zdannya for a change, yak vy new material... Testuvannya.
1. With the butt of a curved ruch є ...
a) falling stone;
b) turning the car to the right;
c) big sprinter for 100 - meters.
2. Chilinna shot of the year to rob one new wrap. Why do you want to carry out the wrapping period?
a) 60 s; b) 1/3600 s; c) 3600 s.
3. The wheel of the bicycle should be rotated one revolution in 4 s. See the wrap frequency.
a) 0.25 1 / s; b) 4.1 / ґ; c) 2.1 / ґ.
test 2
1. With the butt of a curved ruch є ...
a) rukh lift;
b) a liskin fungus with a springboard;
c) the fall of the cone from the lower head of the yalin in cloudless weather.
2. A second arrow of the year to rob one rewrap. Why is the frequency of the beating?
a) 1/60 s; b) 60 s; c) 1 s.
3. The wheel of the machine to rob 20 wraps in 10 s. What is the period of the wheel wrap?
a) 5 s; b) 10 s; c) 0.5 s.
Suggestions for test 1: b; v; a; v; v
Suggestions for test 2: b; a; v; v; b
7. Home zavdannya: § 7, depending on the period and frequency.
8. Delivery of pidsumkiv. Assessment of self-control cards
P / p No.
see zavdan
assessment
solution of home tasks
Folding understandable tables
dough
pidsumkova assessment
9. Reflexion
"Self-assessment sheet".
Knowledge is new.
I am confused having lost joy
Zdivuvsya Nichogo not sound
class: 9
Presentation before lesson
Back forward
Uwaga! The frontal re-glance of the slides is victorious, in particular, for the purpose of understanding and perhaps not giving an indication of all the possibilities of the presentation. Yaksho zaz_kavila you given to the robot, Be a caress, add a new version.
Meta lesson: Dates to schoolchildren about curvilinear rusi, frequency, kutovoy shifting, kutovoy shvidkosti, period. Oznajomiti with formulas for znhozhennya qih values and units of vimir. (Slide 1 and 2)
Tasks:
illumination: Datas uyavlenya about curvilinear rus yogo traktorії, the values of yogo characterize, in units of vimir cikh values and formulas for calculation.
Developing: To promote the formulation of the knowledge of theoretical knowledge for the development of practical buildings, development of interest to the subject and logical purpose.
vikhovni: Prodovzhuvati razvivati krugozіr uchnіv; vminnya to keep records in zoshits, sposterіgati, to mark the laws of appearances, to argue their visnovka.
ustatkuvannya: abduction zholob, bag, bag for strings, toy car, dziga, model of the year with shooters, multimedia projector, presentation.
XID LESSON
1. Actualization of knowledge
Teacher.
- Do you know how much you see?
- Why do we find ourselves straight and crooked?
- In any system of video, can you talk about it?
- Adjust the trajectory and paths for straight and curved rucks. (Slide 3, 4).
2. Explanation of the new material
Teacher. I demonstrate: falling of a bag vertically, yogo hooking along a groove, wrapping a bag on strings, moving a toy car across a table, falling a tennis ball thrown down a kut to the horizon.
Teacher. What is the trajectory of the proponated bodies? (Vidpovidi scholars)
Try your own date value curvilinear і rectilinear rukhіv. (Entry from zoshitah):
- straight line collapse - collapse along a straight line ; (Slide 7)
- curved rox - roach along an indirect path.
Look out two butts of a crooked ruch: along the lamina line and along the curves (Zamaluvati, slide 5, 6).
Teacher. How do you get started?
The scholar. At the first vypadku traєktorіyu it is possible to break on the straight lines of the file and to look at the skin of the window okremo. In another, it is possible to break a curve into arcs of keel and straight lines, etc. you can see how the last of the sleeves is seen, how are they seen along the arcs of the circle (Slide 8)
Teacher. To guide the butt of a straight and curved ruff, with which they were created in life.
3. By the way of knowledge. Nature and technology Rukha is even more frequent, tractors of which are not straight, but curves of line. Tse curvilinear ruh. Along curved paths, they collapse in the cosmic space of the planet and the individual companions of the Earth, and on the Earth, all kinds of vehicles, parts of cars and mechanisms, drives a little, change the atmosphere, etc.
If you squeeze the edge of a steel twig until the grindstone is wrapped, then the particles that are baked through the stone will be seen at the viglyad iskor. Tsі particles fly from tієyu shvidkіstyu, like a stench of volodya at the moment of being lifted out of the stone. It is good to see that the crumb is getting straight to the point to the stake in the point, and the bar is stuck with the stone. according to the exact collapse of the breeze from the wheel of the car ... (Slide 9)
Teacher. In such a rank, mittєva shvidkist tila in the small points of the crooked traktorії maє more straightforward And, moreover, brutal respect: the vectors of speed and strength, which are good for til, are straightened along the intersecting straight lines ... (Slide 10 and 11).
For the module, the speed can be the same everywhere, or change from point to point.
If you do not change the performance module, you cannot change it permanently. Fluidity is a vector quantity. For a vector quantity, the modulus is equally important. And once change speed, It means є is accelerated. To that crooked ruh - tse zavzhdi Rukh with the quickened, Navіt yakshо modulo the speed of postіyna. (Slide 12).
Accelerated tila, rivnomirno collapse on a stake, in be-yakiy point associate center, Tobto is directed along the radius of the stake to the її center. At any point, the acceleration vector is perpendicular to the velocity vector. (Namalyuvati)
The module of centripetal acceleration: a c = V 2 / R (write the formula), de V is the line of speed, and R is the radius of the cola ... (Slide 12, 13)
Teacher. Rukh on a stake often characterizes not a shvidk_styu ruha, but in the interim, for which only one new wrap is rocked. Qia quantity to be called period wrapping and is known by the letter T. (Write down the value of the period). It is known that the connection between the period of wrapping T and the module of fluidity in case of equal Russian according to the number of radius R. Oskilki V = S / t = 2R / T. ( Write down the formula in zoshita) (Slide 14)
Povidomlennya uchnya. Period is a value, as it is often seen in nature and technology... So, we know. The Earth is wrapped around its axis and the middle period is wrapped for 24 years. A new wrap around the Earth near the Sontsya will take about 365.26 add. The robochі wheels of the turbines rotate one re-revolution per hour, which takes 1 second. And the gwent of the helicopter can be wrapped from 0.15 to 0.3 seconds. The period of blood circulation in humans is approximately 21-22 seconds.
Teacher. Rukh tila for a stake can be characterized by one value - the number of revolutions per hour. її call frequent frequency: ν = 1 / T. The unit of frequency variation: s -1 = Hz. ( Write down the value, one and the formula)(Slide 14)
Povidomlennya uchnya. The number of parts of the tractor's engines could be the frequency of wrapping from 60 to 100 revolutions per second. The rotor of the gas turbine is wrapped at a frequency of 200 to 300 r / s. Kulya, wiletak from a Kalashnikov assault rifle, wrap around at a frequency of 3000 r / s.
To change the frequency, use the so-called cola for the variable frequency, based on optical illusions. On such a number of black pigments are applied and there are frequencies. When wrapped in such a cola, black smugs make a colo with a cola of frequency. Also for vimіryuvannya frequency and vikoristovuyut tachometry ... (Slide 15)
(Additional characteristics of slide 16, 17)
4. Closing the material(Slide18)
Teacher. At the end of the day, we learned about the description of the crooked ruch, with new understandings and quantities. Give me a message on the next meal:
- How can you describe the crooked ruh?
- What is called kutovym displacement? In which odnitsy vimіryuєtsya?
- What is called period and frequency? Yak tied with a size? In which ones do you find yourself? How can you make a difference?
- What is the name of kutovoy shvidkistyu? In which odinits you won? How can you rozrahuvati?
(If it takes an hour, it is possible to experimentally check the period and frequency and the wrapping of the file, which was added to the thread.)
5. Experimental robot: vimir period, frequency til, raised on the thread and wrapped in the horizontal area. For those on a leather desk, prepare a set of accessories: thread, tilo (namistinka abo uudzik), seconds; Instructions from robotics: just wrap it up, ( for the convenience of the robot, you can visonuvati double) and start at 10 hours (Send a message to the robot and discuss the results). (Slide 19)
6. Control and self-revision
Teacher. Step on to a change, as you have acquired a new material. At the dermal for you, on the tables, there are tests and two tables, in which you are guilty to enter the letter vidpovidi. One of them will be submitted for revision. (Test 1 vikonu 1 option, test 2 - another option)
test 1(Slide 20)
1. With the butt of a curved ruch є ...
a) falling stone;
b) turning the car to the right;
c) big sprinter for 100 - meters.
2. Chilinna shot of the year to rob one new wrap. Why do you want to carry out the wrapping period?
a) 60 s; b) 1/3600 s; c) 3600 s.
3. The wheel of the bicycle should be rotated one revolution in 4 s. See the wrap frequency.
a) 0.25 1 / s; b) 4.1 / ґ; c) 2.1 / ґ.
4. The gwent of the motor chovna loosen 25 wraps in 1 s. Chim, dorіvnyu kutova shvidkіst gwent?
a) 25 rad / s; b) / 25 rad / s; c) 50 rad / s.
5. Select the frequency of the drill bit for the electric drill, which is 400.
a) 800 1 / s; b) 400 1 / s; c) 200 1 / s.
test 2(Slide 20)
1. With the butt of a curved ruch є ...
a) rukh lift;
b) a liskin fungus with a springboard;
c) the fall of the cone from the lower head of the yalin in cloudless weather.
2. A second arrow of the year to rob one rewrap. Why is the frequency of the beating?
a) 1/60 s; b) 60 s; c) 1 s.
3. The wheel of the machine to rob 20 wraps in 10 s. What is the period of the wheel wrap?
a) 5 s; b) 10 s; c) 0.5 s.
4. The rotor of the forced steam turbine rotates 50 wraps in 1 s. Calculate kutovu svidkist.
a) 50 rad / s; b) / 50 rad / s; c) 10 rad / s.
5. Start the period of wrapping the bicycle, as well as the shortening of the door.
a) 1 s; b) 2 s; c) 0.5 s.
Suggestions for test 1: b; v; a; v; v
Suggestions for test 2: b; a; v; v; b (Slide 21)
7. Delivery of pidsumkiv
8. Homework:§ 18, 19, meals until §§, exercise 17, (asleep) (Slide 21)
Straight and crooked ruch. Rukh tila on a stake with a post behind the module shvidkistu
Legislate relations and ruku til
For the additional help of this lesson, you can independently learn the topic “Straight and crooked ruh. Rukh tila on a stake with a post-lay behind the module shvidkistu ". Some of them can be characterized by straight and curved ruch, having opened, like in the case of various types of ruch, a vector of speed is tied and force is applied to it. There is a clear view of the vipadoks, if the collapse of the til is seen on a stake from behind the module shvidkistyu.
At the next level, we looked at food, tied to the law all sacred labor... The theme of the current lesson is closely tied to the tsim law, and we are fermenting ourselves to the point of being ruined by stake.
Earlier they said that rukh - the price of changing the position of the building in the vastness of the space of every room in one hour. Rukh and rukha are characterized in the same number and shvidkis. The serpent of shvidkosti and the very appearance of the ruch is tied with force. As soon as it’s strong, then it’s changing its speed.
If the power is straight parallel to the ruh of tila, then such a ruh will straightforward(Fig. 1).
Small. 1. Straight ruch
crooked There will be such a ruch, if the strength of the body and the force, is applied to the whole body, straightened one to one by the deyakim kut (Fig. 2). In general, the speed will change.
Small. 2. Curved ruch
Otzhe, at straightforward rus the vector of the elasticity of the straightening in the same direction as the force is applied to the body. A crooked roll Such a ruch, if the vector of fluidity and force, is applied to the floor, roztashovani from the deyakim kut one to one.
A clear view of the droopings of a crooked ruff, if it collapses on a stake with a post behind the module shvidkistyu. If it just collapses on a stake with a post-production speed, then it changes only directly. For the module won, it’s post-lay, and straightforwardly, it’s changed. To produce such a change of speed associate centers.
Small. 6. Rukh on a curved path
If the traktorіya rukhu tila є is crooked, then it is possible to represent how the rukhіv traktorіya along the arcs of the keels, as shown in Fig. 6.
In fig. 7 shows how to change right across the velocity vector. With this kind of rusis, the speed is straightened along the same lines up to the circumference, along the lines of which it collapses. With such a rank, її straight without interruption changes. To build up how much speed the modulus becomes, the size of the last time, the change of speed to produce before the appearance of the accelerated:
In this vipadku quickening will be directed to the center of the stake. That one won’t be called an assistant center.
To what are the associate centers directed to the center?
Surely, if it just collapsed along a curved path, then its speed was straightened according to the exact same pattern. The fluidity is a vector value. The vector є has a numerical value і straight. Shvidk_st in the world of ruku tila without interruption changes its directness. That is, the growth of goods at the moment of the hour is not available to zero (), on the view of a straightforward business.
Otzhe, we have є a change of speed for an hour. The shrine is to - tse depressed. We come to the time of the day, well, to wind up as the speed does not change by the modulus, at the moment, there is a rivnomirny ruh on the stake, є to come.
Kudi is it straightforward? Fig. 3. Singing tilo collapse curvilinearly (by dusi). The fluidity of the body at points 1 and 2 is corrected to the exact point. Tilo collapse іvnomіrno, so that the moduli of the rіvnі:, but not directly, do not run out of goods.
Small. 3. Rukh tila for cola
The fluidity is visible and the vector is visible. For this, it is necessary to pick up an ear of both vectors. Parallel transferable vector into vector cob. Dobudovuєmo to the trikutnik. The third side of the tricycle will be a vector of difference in quality (Fig. 4).
Small. 4. Vector of liquidity differences
Vector of straightening in bik cola.
It is easy to see the tricycle, the statements by the vectors of fluidity and the vector of growth (Fig. 5).
Small. 5. Trikutnik, apprehension by vectors
Daniy trikutnik є (modules). It means, kuti at the base of rivn. Let's write down the equivalence for the tricytnik sumi kutiv:
Z'yasuєmo, kudi is directed to the dawn of the point of the trajectory. For the whole, it is possible to approach point 2 to point 1. With such a lack of diligence, the cut will be pragmatic to 0, and the cut - by the cut. The fluidity is flattened according to the dot, and the vector of the swiftness is flattened to the center of the stake. This means that the acceleration can be directed to the center of the stake. The very dan is hated to bear the name associate center.
How can I know the assistant center?
The trajectory is discernible, as it collapses. In this case, the chain is an arc of a circle (Fig. 8).
Small. 8. Rukh tila for cola
On the little one there are two tricytes: a tricycle, a tricycle, a tricycle, a tricycle, a radial and a vector of change. If points 1 and 2 are even closer, then the vector of displacement will be replaced by the vector. The offense of the tricycle є with equal-sided and identical kutas at the tops. In such a rank, tricutniks are podbnі. Tse means that both sides and tricycles are put the same way:
Moving the door to the door for an hour :. Having submitted the formula, you can make such a virase for centripetal acceleration:
Kutova shvidkist signified by the walnut letter omega (ω), won’t talk about those who turn to turn tilo in one hour (Fig. 9). Tse is the magnitude of the arc in degree world, traversed by til in a decade.
Small. 9. Kutova shvidkist
I respect you, if it’s hard to wrap around, then kutova shvidkist for any points on the whole will be the size of a permanent one. The closest point is to grow to the center of the wrapping, but the distance is not important, that is, it is not important to lie down from the radius.
One vimir per second will be either degree per second (), or radian per second (). Often the word "radian" is not written, but simply written. For the butt we know, for which the road to the shroud of the Earth. The earth will take another turn for an hour, and in all cases, you can talk about those who are on the road:
Likewise, beastly respect for the interconnection of kutoviy and lyniynoi shvidkosti:
Linearity is directly proportional to the radius. Chim is more radius, tim is more line shvidkist. Tim himself, looking forward to the center of the wrapping, makes his own line of speed.
It is necessary to be aware that the collapse of a stick with a permanent shvidkistyu is a cue to a fall. However, the ruh on the stake can be nervnomirnim. The speed can change not only in a straight line, but lose the same modulus, but change for its meanings, i.e., Krym change directly, because of the change in the speed module. In general, we are talking about the so-called quickened Russia by stake.
Who is also radian?
There are two oddities of vimiryuvannya kutiv: degrees and radian. In physics, as a rule, Radianna mira kuta is the main one.
We'll stay in the central kut, which spirals into an arc before the gin.
In the course of the lesson, we can see a curved ruh, a ruch according to a stake and deyaki and put on it. It is also negotiable vipadki, in which it is necessary to set the development model to describe the ruku tila.
Do you know how straight lines are? Build up, how the stench will smell us everywhere. A little closer to the edge of the table, the case of the monitor's screen: in them, you can see the picture, the shortness of the material. Podvivya in a microscope, and sumnivi in the curvature of the lines to fall.
Going around, straight is a process-oriented abstraction, which is ideal and inexplicable. Apart from the help of the abstraction, it is possible to describe the impossibility of real objects, as when we look at it, we are not important, or we can respect it directly.
We looked at the simplest ruh - a straightforward ruh. The process is the same as the idealization, as the line itself is straightforward. V real light real objects collapse, and their tractors cannot be perfectly straight. The car collapses from the place A to the place B: absolutely smooth road between the places is not possible and permanently fast. Against the help of the model of a straightforward straightforward rud, we can describe such a ruch.
Qia model for describing the ruku is not zastosovna.
1) Rukh can be nervous.
2) For example, the carousel is spinning - ruh є, ale not straight. Well, you can tell about the ball, behind the yakim is a football player. For about the collapse of Misyatsya near the Earth. At the cich butts, they collapse along the curved trajectory.
So, since it’s so good, you need a tool to describe the rudimentary curve.
Rukh straight and curved
One and the same trajectory can be used in one factory, and in one - none. The price of intelligence, to lay aside the fact that we are to be assigned to the given tasks.
As long as you know about the car, as you go from Moscow to St. Petersburg, the road is not straight, but at such places do not turn us around - something that you see on them, duzhe maliy. Moreover, we are talking about the middle speed, as all the speed changes when cornering, through them, the middle speed becomes less. Then you can go to an equivalent task - you can "straighten" the trajectory, save more food and speed - we can accept the same result. This means that the model of a straightforward ruch is suitable here. As long as we know about the collapse of a car at a specific turn, or for an hour to overtake, then the curvature of the trajectory will be important to us and we will fix the model.
Rozib'єmo ruh uzdovzh crooked on dilyanki to fill up small, schob vvazati them in straight lines. It’s obvious that it’s going to collapse along a folding trajectory, bypassing the crossroads, ale vin yde and rocking crocs. There are no crooked crochets, the whole length of the cue from the foot to the cue.
Small. 1. Curved trajectory
We smashed the roc into small ones, but describe the roc on the skin like that like straightforward ones. If you are shorter, you will be more straightforward, and more accurate will be closer.
Small. 2. The approach of the curved roach
Such a mathematical tool, like a hassle on small prompts, we were victorious, if they knew a change in a straightforward equitable Rus: they rocked a ruin on a small table, a little bit of money on a small scale. It is easy to count the change on the skin of such a dilation, because of the loss of the area of the change to the skin and in the amount.
Small. 3. Relocation in the case of straightforward equitable rus
It is almost impossible to describe a curved roach from the simplest model - a circle, which can be described by one parameter - a radius.
Small. 4. The circumference of the yak model of a curved ruch
Kinets of the year of the year collapse on one and the same time of the day of the shooting from the point of the fortune. The points of the rim of the wheel spend the whole hour on one side of the axle - on the side of the spokes. Mi prodovzhumo vivchati ruh material point і pratsyuєmo within the framework of the model chain.
Accelerated and overturned roc
Progressive ruch is a central ruch, when all points of the body collapse in the same way: from the same shvidk_styu, zd_ysnyuchi the same change. Whip your hand and quilt: the sound of your mouth and shoulder collapsed in a fashionable way. Wonder at the wheel: the points near the axis do not collapse, and the cabins collapse from the іnshaya іnshіdіstu and іnіh traєktorіyah. Surprise at the straight line collapse of the car: as long as the wrap around the wheel and the collapse of the engine parts is not, all the specks of the car collapse the same, the collapse of the car is very gradual. Todi is not sensu to describe the skin point, it is possible to describe the same. The car is an important material point. Beastly respect, that with the progressive Russian line, that if there are two points of tila in Russia, it will become parallel to itself.
Another type of rukh, according to the ts_i classification, is an overturned rukh. With an overturned Rus, all points of the body collapse along the stake near one axis. As you can, you can peretinati tilo, as at a drop with a wheel I will look around, or maybe not peretinat, as at a drop with a car on a bend.
Small. 5. Overtal Roc
If you do not be-like a ruff, you can bring to one of two species. How to describe the collapse of the pedals of a bicycle? Our model is handy, so you can see the collapse as a combination of progressive and overturned collapse: once its pedal axle is wrapped, and all at once with the bike it collapses progressively towards the Earth.
Kinets of the year of the year for the equal advance of the hour will pass and the same way. So you can talk about the peace of mind. The speed is a vector value, so in order for it to be permanent, it’s not the fault of the module, so it’s straight. First, if the module of efficiency in Russia is not going to be reduced, then it will be changed permanently.
Rivnomirniy Rukh on a stake.
Why did not they vibrate to see the change
It is easy to understand, as it changes in Russia according to the stake. The point passed in one month (div. Fig. 6) and passed a quarter of the stake.
It’s easy to change the situation with fake Russia - it’s easy to describe the regularity behind which it’s different, and such a look is not very informative. Є The sense of seeing the movement on the gaps, reaching the small ones, you can get them roughly equal.
Introduced decilka of the ruch characteristics of the stake.
If they didn’t take a year’s size, for 15 minutes, we’ll go through a quarter of the circumference of the dial. And in a year to make a new turnover. When there are a lot of paths, there will be a stake out of the radius, and the axis to the turn will be mute. Tobto kut can also be changed rivnomirno. To the one who has passed the way, let us speak more about the snake of the kut. Yak mi znamo, kut proportional dusi, spiral on yaku vin:
Small. 7. Zmіna kuta vіdhilennya shooters
Since the cut is measured equitably, then it is possible, by analogy with the nobility, for one hour, to show the way, how to go through just one hour, to introduce the way about how to turn around (or, how to go through for an hour), in one hour.
Tobto on skіlka radіan a point is cranked in a second. Vimiryuvatisya won, obviously, will be in rad / s.
Rivnomirniy rukh on a stake - repeating the process, or, in a way, periodic... If the point breaks a new turn, it will appear again in the cob position and will be repeated.
Apply periodic appearances in nature
Bagato is a manifestation of a periodic nature: the wintry of the day and the night, the wintry of the rock. It is clear here, but at the same time: I will add it and it’s obvious.
Є y інші period: open spaces (a variety of periodically repeated elements, a number of trees, rostatovanyh with equal intervals), period in the writing of numbers. Period in music, virshah.
Periodic occurrences are described by those who are seen for the period and for the last period. For example, the dobovy cycle is a shid-zad sontsya and the period is an hour, after which everything repeats itself, - 24 years. A spacious vіzerunok is a single element of a vіzerunok and it is often repeated (abo yogo dovzhina). The tenth filed of the snake has a fraction - the last of the digits in the period (that is, it stands in the arches) and the second / period - a number of digits: in 1/3 - one digit, in 1/17 - 16 digits.
The actions of the team are easy to understand.
The period of the Earth's wrapping around its axis = day + night = 24 years.
Period of wrap around the Earth near Sontsya = 365 periods of beast day + night.
The period of the wrap-around of the year of the hand on the dial is 12 years, of the wrap-around - 1 year.
The pendulum swing period is 1 s.
Period vimіryuyut in out-of-town units an hour (second in СІ, chilina, year, etc.).
The period of the top is in units of a percentage (m, cm), the period in the decimal fraction is in the number of digits in the period.
period- whole hour, behind the yake point at equal rus, according to the stake, there is one re-turn. Significantly yogo great letter.
If it takes an hour to get a turnover, then one turnover will obviously take an hour.
You can judge about those processes that are often repeated, a value is introduced, as it is called - frequency.
The frequency of Sontsya's appearance is 365 times. The frequency of occurrence of a recurrent misyatsya per pik is 12, and sometimes 13 times. The frequency of the arrival of spring for pik is 1 time.
For an equal stake in a stake, the frequency is the whole number of new wraps, like to rob a point in one hour. If it takes t seconds to get a turnover, then it takes a second to get a turnover in a skin second. Apparently the frequency, inodi її also means abo. The frequency in revolutions per second is changed, and the value was called hertz, in the nickname of Hertz.
Frequency and period are mutually rewarding values: most of the time, it is trivial period that is to blame for the shorter. I navpaki: what is more, one period is more than one period, it is more than one period.
Mathematically, we can write down the proportionality: abo.
Also, the period is a whole hour, for which only a new turnover can be started. Zrozumilo, who is guilty of the dressing of the kutovy shvidkistyu: what shvidshe kut is changing, it is more so that it turns to the cob point, so as to make a new turn.
One more turn is visible. Kutova shvidkіst - tse kut, on how to turn tilo for one hour. On what kut can you turn just when you turn over again? 3600 abo in radians. Turnover hour - time period. That means, for the designation, there is a lot of traffic :.
It is known and the nobility is quick to call it line-by-turn. Point in an hour, one period, until the next turn, to pass the way, rivny dovzhiny circles. You will be able to see the visibility for the visas of yak shlyakh, for an hour :.
Yaksho vrahuvati, scho - tse kutova shvidkist, then we can recognize the sounds of the line and kutovoy shvidkost:
zavdannya
How often is it necessary to wrap the wells, how often it goes through 1 m / s, how can the radius cross the gate to the door?
The problem describes the wrapping of the gate - a stasis to the ny model of the wrapping ruch, having heard its surface.
Small. 8. Model of the wraparound gate
There is also about the collapse of the vidra. The winding is fastened with a motorcycle tie to the comir, and the motorcycle is wound. Tse means, well, be it a part of a motorcycle, including wound on a collar, to collapse with such a shvidkistyu, as well as a wind. In such a rank, we have set the line of the points on the surface of the gate.
The physical part of the solution... Mova about liniynoi shvidkosti rukh on a stake, won dorivnyu :.
Period and frequency are alternately ringing values, it is written :.
They renounced the system of rivnyans, since it was overwhelmed with only virishity - there will be no mathematical part of the solution. From the start to the first level, the frequency will change: 
.
The frequency is visible:
Numerously, having transformed the radius into metric:
They took out the view: it is necessary to wrap the head at a frequency of 1.06 Hz, so that about one turn per second is done.
Obviously, we have two identical bodies collapsing. One - by stake, and іnshe (in the same minds and with the same characteristics), ale by regular polygon... If such a bagatokutnik has more sides, it will be less likely to be seen for us.
Small. 9. Curvilinear ruh by stake and polygon
Riznitsya in the fact that other tilo on the skin dilyantsi (sides of the bagatokutnik) collapse along a straight line.
On such a skin type, it is significant to change the body. The change here is a double-sided vector, on a square.
Small. 10. Moving body in curved rus on a polygon
On a whole little dilyantsi change quickly in an hour. Rozdіlimo і іnkіmаmo vector іsvіdkostі on tsіy dіlyantsі.
From the increase of the number of sides of the bagatokutnik, the next step will be changed :. Oskіlki the module of the quickness will last, then the hour will be extended until 0 :.
Apparently, the liquidity of the floor on such a small date will be called mittєvoy shvidkistyu.
Chim less will be the side of the bagatokutnik, tim will be closer to you until the point is up to the stake. To that, in a borderline, ideal way () we can respect that the mittєva speed in given points is straightforward to the circumference.
And the sum of the modules will be moving less and less towards the road, which is the point to pass along the dusi. This mittєva shvidkist modulo will be taken from the nobility shvidkіstyu and all those spiwdnoshennya, which were discarded earlier, will be valid for the moduli mittєvoi shvidkosty by relocation. It is possible to navigate the meaning of it, if it is on the road.
The fluidity is straightforward, and the modules can be known. We know the speed in the main point. The module is the same, as it is equal, but it is straightened along the exact same circle to the same point.
Small. 11. The fluidity of the document is as follows
It’s not one and the same vector, the stinks are equal in modulus, but they are more straightforward. The speed has changed, and once it has changed, then the price of a change can be made:
A change of speed for one hour, for a viznachennyam, - tse accelerated:
It is numbered to be accelerated in Russia according to the stake. Zmіna shvidkostі.
Small. 12. Graphical display of vectors
We've gotten out the vector. The accelerated direction is directed to that, kudi 
, And hence, co-direction).
Chim less dilyanka AV, more will be used to save the vectors, and if everything is closer to the perpendicular to both of them.
Small. 13. Degree of liquidity by size of dilyanka
In order to lie down the perpendicular bridle to the point (the speed is directed to the point), and, therefore, the accelerated point will be directed to the center of the stake, the radius bridle. Guess from the course of mathematics: radius, conduction to a dot dot, perpendicular dot.
If you just pass the maliy kut, the vector of shvidkosti, which is straightened along the exact same distance to the radius, you can also turn to the kut.
Proof of equanimity
The chotirikutnik ASVO is clearly visible. Suma kutiv chotirikutnik road 360 °. (Yak kuti mіzh radіuses, carried out to the point dots, і dotichny).
Cut between straight lines at points A and B () and - sums with straight AC, todi 
,
Earlier, they were taken away, stars.
On a small scale AB, moving the point modulo it is practical to move with a path, tobto with an arc :.
Trikutniks AVO і tricycle, folds by vectors і і В, pіbnі (from point A the vector was transferred parallel to point B).
Cyclops of rivets (OA = OV - radius, - so like ruh rivnomirny), they have equal kuti between everyday sides (only they brought it to the show). This means that they will be equal to them when they are presented. Equal kutіv to finish, schob stverdzhuvati, scho trikutniki podbnі.
It is written down to the similarity of tricycles: the AB side (and won the road) is assigned to the radius of the cola, which is the module of the change of speed to be carried to the module of the speed :.
We can write without vectors, so that we can be guided by a lot of parties. We are all tied up to speed, we are not tied up with a snake shit, anyway. Pidstavami, otrimaєmo :.
The formulation of the Wiyshov is easy to complete, or it is possible to memorize the finished result and the vicoristovuvati when you see it.
At yak bi mi points, they knew that they were quickened in rivnomirnuyu rus by stake, there is one modulo and in be-yak point is directed to the center of the stake. I still call him associate centers.
Zavdannya 2. Associate Center
Virishimo the task.
Know that a car collapses on a turn, because a turn is a part of a circle with a radius of 40 m, and a docent is quickened.
Analyze mind. The problem has a description of the ruh on the stake, the move about the docentral prikorenni. We can write down the formula for centripetal acceleration:
Accelerated і radius kola danі, add only the visibility and calculate the frequency:
Abo, if translated into km / year, then the tse is close to 32 km / h.
As a matter of fact, the strength of the body has changed, on a new day, I am willing to do it by force, or, as it is simpler to say, the power is to blame. The schob was tumbling down on a stake from the docentral deportees, for a new force is also to blame, as the departed. At a vipadku with a car on a bend, the force is rubbing, so we will be skidded on bends, if there is iron on the roads. It is easy to twist on the motorcycle, and the force of the tension on the sleeve is visible, because it will tighten more strongly. Yak only the power is lost, for example, the thread is torn, only powerlessly for the energy gains speed - that speed, straightened along the exact circumference, like a bullet at the moment of breaking. The first step can be done by quilting directly behind the ruff of ts'go tila (babies). For a reason, cause us to creep to the wall of transport at bends: we are behind the inertia of the collapse, so that we will be able to get away from the cola, if we don’t go into the wall, and it’s not because of the force, I’m going to speed up the assistant centers.
Earlier we had only one instrument - a model of a straightforward ruch. We could describe one model - a stake by stake.
It often creates a kind of ruch (turn, wheels, transport, planets, etc.), which is familiar with an instrument (skinny times, touch the trajectory with small straight lines, not even manually).
Now we have two "tseglinks", and this means that with the help of it it is possible to wake up more folding forms - more folding forms with combined types of rukhiv.
These two models will be enough for us to build more cinema buildings.
For example, such a ruch can be represented as a rukh along the arcs of three kіl. For such a butt: the car drove straight along the street and moved, then turned and went out of the road along the street.
Small. 14. Rozbittya on the road of the car
Three dies are visible and only one of simple models is stashed to the skin.
List of Literature
- Sokolovich Yu.A., Bogdanova G.S. Physics: doodnik with butts for solving tasks. - 2nd ed., Peredil. - X .: Vesta: Vidavnitstvo "Ranok", 2005. - 464 p.
- Perishkin A.V., Gutnik E.M. Physics. Grade 9: Pidruchnik for zalnoosvit. installation / A.V. Perishkin, E.M. Gutnik. - 14th ed., Stereotype. - M .: Bustard, 2009 .-- 300.
- Internet site " Postclass lesson» ()
- The Internet site "Klas! Naya physics "()
Home zavdannya
- Guide the crooked ruch in haunted life... How can you be straightforward in whatever urge you to think?
- Visit the docentral centers for the acceleration, and the Earth collapses near Sontsya.
- Two cyclists with regular gears start at once in one straight line from two diametrically opposite points of the circular track. After 10 minutes, one of the cyclists took the start for the first time. An hour later, the first cyclist is not yet scheduled to start?