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angular velocity of a rotating wheel increases 2 rev/s every minute. The angular acceleration of this wheel is:

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onyebuchinnaji

The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Angular acceleration of the wheel

The angular acceleration of an object is the rate of change of anguar velocity of the object with time.

[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]

where;

  • Δω is the change in the angular velocity
  • Δt is the change in time

Change in angular velocity of the wheel is calculated as follows;

[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]

Change in time, Δt = 1 min = 60 s

The angular acceleration of the rotating wheel is calculated as follows;

α = (12.57) / (60)

α = 0.21 rad/s²

Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².

Learn more about angular acceleration here: https://brainly.com/question/25129606

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