What is the smallest radius of a circle at which a cyclist can travel if its speed is 36 km/h, angle of inclination `45^(@)` and `g = 10 m//s^(2)`?

Options

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

Answer

B

Explanation

According to question `tan theta = (v^(2))/(rg)`
`rArr" " r=(v^(2))/(g tan theta) = ([36 xx (5)/(1)])/(10 xx tan 45^(@))`
` = (100)/(10 xx 1) = 10 m`