The angular quantities: angular displacement, angular velocity, angular accelera

Question

The angular quantities: angular displacement, angular velocity, angular acceleration, are defined in a very similar way to the linear quantities. The angular displacement represents the angle through which an object has rotated (the difference between two angular positions). The angular velocity equals the angular displacement divided by the elapsed time. The angular acceleration equals the change in the angular velocity divided by the elapsed time. Suppose an object travels through an angular displacement, , of 58.7 rad over a time of 5.57 s. What is the average angular velocity, ?

If the angular velocity, , changes from 6.45 rad/s to 26.6 rad/s over a time of 7.79 s, what is the angular acceleration, ?

Explanation / Answer

the average angular velocity, = /t = 58.7/5.57 = 10.54 rad/sec

angular acceleration = w2-w1/t2-t1 = 26.6-6.45/7.79 = 2.59 rad/s^2

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