Angular velocity for a turntable

[captainsmith1]

Homework Statement

A turntable that is initially at rest is set in motion with constant angular acceleration a. What is the angular velocity of the turntable after it has made one complete revolution?

Homework Equations

2(pi)rads=1 revolution
the 3 constant acceleration equations, i think the one you use is v²=v_i²+2ad, d being distance traveled

The Attempt at a Solution

im not sure what to substitue the variables for, and I am not even sure if I am using the correct acceleration equation.

 

[Doc Al]

That kinematic equation is fine, but you need to write it in terms of angular quantities instead of linear quantities (like v and a). See this: http://hyperphysics.phy-astr.gsu.edu/HBASE/mi.html#rlin"

 

[tiny-tim]

… i think the one you use is v2=vi2+2ad …

Hi captainsmith1!

Yes, that's right, except you must use angles instead of distances.

From the PF Library on constant acceleration …

For an object moving in a circle, the same three equations may be used with angular acceleration velocity and displacement instead of ordinary (linear) acceleration velocity and displacement.​

EDIT: Doc Al beat me to it!