A rotating wheel requires 3.05-s to rotate through 37.0 revolutions. Its angular speed at the end of the 3.05-s interval is 97.9 rad/s. What is the constant angular acceleration of the wheel?

Explanation:

The formula that relates angular displacement with angular acceleration is:

We can obtain from the definition of angular acceleration:

Putting all together:

Which, since we want the angular acceleration, is:

And for our values is:

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y

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