A wheel rotating with a constant angular acceleration turns through 22 revolutions during a 5 s time interval. Its angular velocity at the end of this interval is 12 rad/s. What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero. Answer in units of rad/s 2 .

0.52rad/s^2

Explanation:

To find the angular acceleration you use the following formula:

  (1)

w: final angular velocity

wo: initial angular velocity

θ: revolutions

α: angular acceleration

you replace the values of the parameters in (1) and calculate α:

you use that θ=22 rev = 22(2π) = 44π

hence, the angular acceñeration is 0.52rad/s^2

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