What is the smallest radius of a circle at which a cyclist can travel if its speed is `36 kmh^(-1)` , angle of inclination is `45^(@) and g = 10 ms^(-2)`

Options

A. 20 m
B. 10 m
C. 30 m
D. 40 m

Answer

B

Explanation

From `tan theta =(v^(2))/(rg) rArr r = (v^(2))/(g tan theta) rArr r = (v^(2))/( g tan theta) =(10 xx 10)/(10 xx tan 45^(@)) = 10` m