ASK YOUR TEACHER A rotating wheel requires 2.92-s to rotate through 37.0 revolutions. Its angular speed at the end of the 2.92-s interval is 97.8 rad/s. What is the constant angular acceleration of the wheel

Therefore the constant angular acceleration of the wheel 12.43 rad /s².

Explanation:

and

=  initial angular velocity

= final angular velocity

= displacement

= angular acceleration

t = time

Here = 37.0 revolution rad  [ since one revolution = ]

t=2.92 s

Final angular velocity = = 97.8 rad/s

To find the angular velocity, first we need to find out the initial angular velocity .

  = 61.50  rad /s

Then the angular velocity is

    rad /s²

  =12.43 rad /s²

Therefore the constant angular acceleration of the wheel 12.43 rad /s².

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