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## Homework Statement

A wheel rotating with a constant angular acceleration turns through 22 revolutions during a 9 s time interval. Its angular velocity at the end of this interval is 15 rad/s.

What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero.

## Homework Equations

w = omega

a = alpha

w

_{f}= w

_{i}+ at

theta = w

_{i}t + 1/2at

^{2}

## The Attempt at a Solution

w

_{f}= 15

w

_{i}= ?

a = ?

theta = 2pi * 22 = 128.23

t = 9

So I have two unknowns and two equations but I can't seem to solve for the two equations. Both equations have two unknowns in them which is throwing me off. Any help is appreciated.

Thanks