A 331/3 rpm record drops onto a turntable and accelerates up to speed in 0.6 seconds. What is its angular acceleration, in radians/s2 during this time?

Wheel A of radius ra = 9.4 cm is coupled by belt B to wheel C of radius rc = 34.8 cm. Wheel A increases its angular speed from rest at time t = 0 s at a uniform rate of 5.8 rad/s2. At what time will wheel C reach a rotational speed of 197.5 rev/min, assuming the belt does not slip?

Two balls are connected to a string and execute circular motion in a horizontal plane as shown below. The outer ball has mass M1 and the inner ball has a mass M2. Equal lengths of string (L) are attached to M2. ...

A frantic weather reporter is reporting on a live tornado. The reporter exclaims, “Wood, metal, and all kinds of debris are being thrown directly outward from the edge of the funnel.” In light of your understanding of circular motion, comment on the accuracy of the reporter’s statement.

This question is driving me crazy. I'm using the formula v=2(pi)(R) / T to find the velocity and then a=v^2 / R to find the final acceleration, but have no luck in getting the correct answer. What I don't understand is how does the period (T) is used in the first formula? Please help. The...