Question 23: Work, Energy and Power & Circular Motion

Question

A cyclist speeding at 6 m/s in a circle of 18 m radius makes an angle $$	heta$$ with the vertical. The minimum possible value of coefficient of friction between the tyres and the ground is

Accepted Answer

Given, v = 6 m/s, r = 18 , g = 9.8 m/s
2
Now, the velocity of cyclist is given by
v
2
= rg tan$$	heta$$
or, $$	an 	heta  = {{{v^2}} \over {rg}} = {{6 	imes 6} \over {18 	imes 9.8}}$$
$$ \Rightarrow 	an 	heta  = 0.2041$$
The minimum value of coefficient of friction, $$\mu$$ = tan$$	heta$$
$$ \Rightarrow \mu  = 0.2041$$

Answer

12.041

Answer

0.2041

Answer

11.32

Answer

10.020

Work, Energy and Power & Circular Motion

A cyclist speeding at 6 m/s in a circle of 18 m radius makes an angle $\theta$ with the vertical. The minimum possible value of coefficient of friction between the tyres and the ground is

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