1, and the formula of linear velocity is v = s/t = 2π r/t.

2. The formula of angular velocity is ω = φ/t = 2π/t = 2π f.

3. centripetal acceleration's formula is a=V2/R=ω2R=(2π/T)2R.

4. The formula of centripetal force is F=mV2/R=mω2R=m(2π/T)2R.

Generation of centripetal force:

Because circular motion belongs to curvilinear motion, the object in circular motion will also be subjected to resultant force different from its velocity direction. For an object in circular motion, centripetal force is a kind of pulling force, and its direction changes constantly with the motion of the object in circular orbit. This pulling force points to the center of the circumference along the radius of the circumference, hence the name "centripetal force".

The centripetal force points to the center of the circle, and the object controlled by the centripetal force moves in the tangential direction, so the centripetal force must be perpendicular to the movement direction of the controlled object, and only the acceleration in the normal direction of the speed is generated.

Therefore, centripetal force only changes the motion direction of the controlled object, but does not change the motion rate, even if it is non-uniform circular motion. In non-uniform circular motion, the tangential acceleration that changes the motion rate is not produced by centripetal force.