The problem of acceleration of uniform circular motion, thank you

You can think of it this way, acceleration is used to change the state of motion of an object, including the magnitude of velocity and the direction of velocity, and then you use common sense to think about it, an object moving in a straight line, give it a force along the direction of its motion, which can also be said to be acceleration, then its velocity will change, but the direction of velocity is still in this straight line. But as long as you give it a force that is not exactly in the direction of velocity, i.e. there is a component force perpendicular to the direction of velocity, then the direction of velocity of the object changes.

Now looking at the circular motion, its velocity does not change, there is no partial acceleration along the direction of velocity, but the direction of its motion changes all the time, and this rate of change is constant, so to say that it has a constant acceleration perpendicular to the direction of velocity.

As for how to find this acceleration, look at the book again.

No, you yourself have noticed that there is a centripetal acceleration in circular motion, and the centripetal acceleration of circular motion only changes the direction of velocity, not the magnitude of velocity, so in uniform circular motion, acceleration is centripetal acceleration, and for non-uniform circular motion, it is not equal, first of all, the direction must be different, because it is not the center of the circle, so it will have an impact on the magnitude of the velocity, as for the size of the difference, in most cases it must be unequal.

The acceleration of a uniform circular motion is used to change the direction of the velocity, not the magnitude of the velocity, because it is perpendicular to the direction of the velocity, and the acceleration refers to the speed of the change of direction!

Direction: Pointing to the center of the circle. It can be understood as the component of the acceleration of a body moving in a circle in the direction of pointing to the center of the circle.

Oh, and this acceleration refers to centripetal acceleration and refers to the angle.

The formula for acceleration of circular motion: a=v 2 r

To find the linear velocity, in addition to , you can also deduce v=2 r t (note: t is the period) = r=2 rn (note: n represents the rotational speed, n and t can be converted to each other, the formula is t=1 n), which represents pi.

Similarly, the angular velocity can be found as = radian t =2 t=v r=2 n where s is the arc length, r is the radius, v is the linear velocity, a is the acceleration, t is the period, is the angular velocity (unit: rad s).

Uniform circular motion.

Linear velocity v=s t=2 r t

Angular velocity = t=2 t=2 f

Centripetal acceleration a=v2 r= 2r=(2 t)2rcentripetal force fcentripetal force f=mv2 r=m 2r=m(2 t)2r, period and frequency t=1 f 6

The relationship between angular velocity and linear velocity v= r

Angular velocity vs. rotational speed =2....

Note: (1) The centripetal force can be provided by a specific force, or by the resultant force, or by the component force, and the direction is always perpendicular to the direction of velocity.

2) The centripetal force of an object moving in a circular motion with uniform velocity is equal to the resultant force, and the centripetal force only changes the direction of the velocity, not the magnitude of the velocity, so the kinetic energy of the object remains the same, but the momentum keeps changing.

First, acceleration is a physical quantity that reacts to the speed of change, and there is acceleration when there is a change in velocity, and the change in velocity includes the change of the magnitude of the velocity, and also includes the change in the direction of the constant magnitude.

Second, the velocity does not change in a uniform circular motion, but the direction of velocity changes all the time, so there is acceleration, that is, the acceleration is not zero.

Third, the acceleration corresponding to the uniform circular motion is called centripetal acceleration, and the direction is directed towards the center of the circle.

Acceleration is the rate of change of the velocity vector with respect to time, describing how fast or slow the direction and magnitude of the velocity change. Note that it is the direction and size of the change.

Although the magnitude of the velocity does not change in the uniform circular motion, the direction of the velocity is always changing, so there is also acceleration. For uniform circular motion, this acceleration can be seen as a vector directed towards the center of the circle, so it is also called centripetal acceleration.

Of course. Uniform circular motion is a motion in which the direction of velocity is constantly changing, and the change in velocity (direction) at any time interval is not zero, so there must be acceleration. It can only be said that the tangential acceleration is zero (the magnitude of the velocity does not change).

Extension: A particle moves in a circle, and if the arc length is equal in any equal amount of time, this motion is called "uniform circular motion". Uniform circular motion is the most common and simplest motion in circular motion (because velocity is a vector, uniform circular motion actually refers to uniform circular motion.

If the length of the arc passing through the mass is equal in a circle, this motion is called "uniform circular motion", also known as "uniform circular motion". Because the velocity of the object does not change when it moves in a circle, but the direction of velocity changes at any time. So the linear velocity of a uniform circular motion changes from moment to moment.

The sufficient and necessary conditions for doing uniform circular motion are:

1.Has an initial velocity (initial velocity is not zero).

2.It is always subjected to a resultant force of the same magnitude, perpendicular to the direction of velocity, and on the same side of the direction of velocity.

There are many types of experimental instruments for measuring the centripetal force of uniform circular motion with the formula of experimental verification of centripetal force, which can not only be qualitatively verified, but also quantitatively determined, and the basic steps of verification are:

Firstly, under the premise that the rotational speed and circumferential radius are constant, it is verified that the centripetal force is proportional to the mass. The two objects used for the comparative experiment were subjected to strict counterweights, and the mass of one of the two balls was measured with a balance to be half of the other, and the experiment showed that the centripetal force shown by the dynamometer doubled with the doubling of the mass of the object in a circular motion, which proved the direct proportional relationship between the centripetal force and the mass of the object.

In the process of uniform circular motion of the particle, the tangential acceleration is always zero. In the process of accelerating the circular motion of the particle, the direction of tangential acceleration is always the same as the direction of velocity, and the magnitude of tangential acceleration a=(dv) (dt), that is, the differential of velocity to time, and the direction is the direction of velocity.

A particle moves in a circle, and if the arc is of equal length at any equal time, this motion is called "uniformcircularmotion". Uniform circular motion is the most common and simplest motion in circular motion (because velocity is a vector, uniform circular motion actually refers to uniform circular motion.