angular velocity for a turntable

[captainsmith1]

1. The problem statement, all variables and given/known data
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?


2. Relevant equations
2(pi)rads=1 revolution
the 3 constant acceleration equations, i think the one you use is v2=vi2+2ad, d being distance traveled


3. The attempt at a solution
im not sure what to substitue the variables for, and im not even sure if im using the correct acceleration equation.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

[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: Rotational-Linear Parallels (http://hyperphysics.phy-astr.gsu.edu/HBASE/mi.html#rlin)

[tiny-tim]

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

Hi captainsmith1! :smile:

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! :biggrin: