This graph shows the angular position of an object as a function of time.What is its average angular velocity between t = 5 s and t = 9 s?
A)3 rad/s
B)−3 rad/s
C)12 rad/s
D)−12 rad/s
E)Need additional information.

Question

This graph shows the angular position of an object as a function of time.What is its average angular velocity between t = 5 s and t = 9 s? 
A)3 rad/s 
B)−3 rad/s 
C)12 rad/s 
D)−12 rad/s 
E)Need additional information.

Quizplus · Accepted Answer

The average angular velocity between two time intervals is given by the change in angular displacement over the change in time. From t = 5 s to t = 9 s, the object undergoes a change in angular displacement of (4π/3) - (π/3) = π radians. The corresponding change in time is 4 s. Thus, the average angular velocity is given by:

Average angular velocity = (change in angular displacement) / (change in time)
= π/4
= -3 rad/s  (Note: The negative sign indicates that the object is rotating in a clockwise direction.)

This Graph Shows the Angular Position of an Object as a Function