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a cyclist moving at a speed of 17.64km/hr describes a circle of radius 9.8 m.if the cyclist is held in balance ,the cofficient of friction between the tyre and the ground is

a cyclist moving at a speed of 17.64km/hr describes a circle of radius 9.8 m.if the cyclist is held in balance ,the cofficient of friction between the tyre and the ground is

Grade:12th pass

1 Answers

Vasantha Kumari
askIITians Faculty 38 Points
7 years ago

Given speed is such that it balances the force of friction, hence

Maximum speed vmax = vmgr

Or v2max = mgr

v2max / gr = m

substituting the values, we have

v2max / gr = m

vmax = 17.64 km/hr = 17.6 x 5/18 =4.87

v2max / gr = m

(4.87)2 / 9.8 x 9.8 =m

23.7169/ 96.04

Thus, the cofficient of friction between the tyre and the ground is m = 0.2469

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty

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