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Question

Figure shows the total acceleration a=32m/s2 of a moving particle moving clockwise in a circle of radius R=1m. What are the centripetal acceleration a and speed v of the particle at given instant?
640467_31ab833e9eb94da484e7034286337b2a.png

A
163m/s2,43m/s
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B
163m/s2,4m/s
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C
16m/s2,16m/s
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D
16m/s2,4m/s
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Solution

The correct option is D 16m/s2,4m/s
Given,
Total acceleration, a=32m/s2
Centripetal acceleration, ac=32cos60
=32×12
=16m/s2
Also, we know that, ac=v2R=16m/s2
v21=16[R=1]
v2=16m/s2
Speed of the particle v=4m/s

681777_640467_ans_d7d15eaaf6ad4a80ba289de581a9a88f.png

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