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Question

A boy on a cycle pedals around a circle of 20 metres radius at a speed of 20 m/s. The combined mass of the body and the cycle makes an angle θ with the vertical so that it may not fall. The value of θ is: (g=9.8m/s2)

A
60.250
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B
63.900
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C
26.120
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D
30.000
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Solution

The correct option is C 63.900
In the circular frame the boy experiences two forces namely mg due to his own weight and centrifugal force due to his motion. Let the angle made by him with the vertical be θ.
tanθ=mv2rmg=v2rg

tanθ=20220×9.8

θ=63.90o

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