The angular acceleration for an object undergoing circular motion is plotted versus time i...
The angular acceleration for an object undergoing circular motion is plotted versus time in the figure. If the object started from rest at t = 0 s, the net angular displacement of the object at t = tf
a) is in the clockwise direction.
b) is in the counterclockwise direction.
c) is zero.
d) cannot be determined.
Step-by-Step Solution
THINK:
The angular displacement of the object is the area under the curves.
SKETCH:
The graph between the angular acceleration ‘
’ and the time’
’ is shown in the following figure.
ANSWER:
The angular displacement is the area under the curve as shown in the above graph. From the above figure, the area of the region (1) is equal to area of the region (2) and the area of the region (3) is equal to area of the region (4), but there are opposite to each other. So the total angular displacement of the object is zero.
Correct option: c
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