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Question

# If a body moving in a circular path maintains constant speed of 10 m/s, then which of the following graphs correctly describes the relation between acceleration and radius?

A
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B
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C
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D
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Solution

## The correct option is C The tangential acceleration of the particle is zero because it is moving with a constant speed. The centripetal acceleration of the particle is ac=v2/r, where v=10 m/s is the speed and r is the radius. Thus, acceleration of the particle is a=√a2t+a2c=v2/r So, a∝1r Hence the graph between a and r will be a hyperbola. Option C is the correct answer.

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