1, v (linear velocity) =l/t=2πr/T(l stands for arc length, t stands for time and r stands for radius).

2.ω (angular velocity) =θ/t=2π/T(θ stands for angle or radian)

3.t (period) =2πr/v=2π/ω.

4.n (frequency) = 1/T

5、ω=2πn

6、v=rω

7.f direction (centripetal force) = mr ω 2 = mv 2/r = mr 4π 2/t 2.

8. Direction A (centripetal acceleration) = r ω 2 = v 2/r = r4π 2/t 2 = r4π 2n 2.

abstract

In physics, circular motion is a circle: a circular path or trajectory. When considering the circular motion of an object, its volume can be ignored and regarded as a particle (except in aerodynamics).

Examples of circular motion are: an artificial satellite rotates along its orbit, a stone is connected with a rope and swung around, a racing car turns on the orbit, an electron enters an average magnetic field vertically, a gear rotates in the machine (at any point on its surface and inside), belt drive, train wheels and turning orbit.

Circular motion provides the acceleration required by centripetal force for moving objects. This centripetal force pulls the moving object towards the center of the circular trajectory. If there is no centripetal force, the object will follow Newton's first law and move in a straight line. Even if the speed of an object is constant, the speed direction of the object is constantly changing. That is, in uniform circular motion, the linear velocity changes (direction) while the angular velocity remains unchanged.