The angular velocity of a rotating wheel increases 2 rev/s every minute.The angular acceleration of this wheel is: A)4$\pi$² rad/s² B)2$\pi$rad/s² C)1/30 rad/s² D)2$\pi$/30 rad/s² E)4$\pi$ rad/s²

Question

Quizplus · Accepted Answer

We know that acceleration, a = (change in velocity)/(time taken)

Here, the change in velocity is 2 rev/s per minute, which is equal to 2/60 = 1/30 rev/s per second.

We want the answer in radians per second squared, so we need to multiply this by 2π (since there are 2π radians in one revolution)

Therefore, the angular acceleration is: 
a = (1/30) x 2π = 2π/30 = π/15 rad/s^2

So, the correct answer is D.

The Angular Velocity of a Rotating Wheel Increases 2 Rev/s π\piπ

The Angular Velocity of a Rotating Wheel Increases 2 Rev/s $\pi$