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

Question

Quizplus · Accepted Answer

Angular acceleration is the rate of change of angular velocity. Given that the angular velocity increases by 2 rev/s every minute, we can convert this to radians per second as:
2 rev/s = 2 x 2π rad/s = 4π rad/s
So, the angular velocity increases by 4π rad/s every minute.
The time interval given is in minutes, so we need to convert it to seconds:
1 minute = 60 seconds
Therefore, the angular acceleration is:
a = Δω/Δt = (4π rad/s)/(1 minute/60 seconds) = 4π/60 rad/s^2 = 2π/30 rad/s^2 = 2π/(30s) ans so, the 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 $\pi$