This graph shows the angular velocity of a turntable as a function of time. What is its average angular acceleration between t = 2 s and t = 4 s? A) −10 rad/s² B) −5 rad/s² C) 0 rad/s² D) 5 rad/s² E) 10 rad/s²

Question

Quizplus · Accepted Answer

The average angular acceleration between t = 2 s and t = 4 s can be calculated using the formula:

average angular acceleration = (change in angular velocity) / (time interval)

Between t = 2 s and t = 4 s, the change in angular velocity is:

change in angular velocity = final angular velocity - initial angular velocity
= 10 rad/s - 20 rad/s
= -10 rad/s

The time interval is:
time interval = 4 s - 2 s
= 2 s

Therefore, the average angular acceleration is:
average angular acceleration = (change in angular velocity) / (time interval)
= (-10 rad/s) / (2 s)
= -5 rad/s^2

So, the answer is B, which is -5 rad/s^2.

This Graph Shows the Angular Velocity of a Turntable as a Function