Question

A cyclist moves in a circular track or radius $100\,m$ . If the coefficient of friction $0.2$ . Then the maximum speed with which the cyclist can take a turn without leaving inwards, is

• A. 14.0 m/s
• B. 140 m/s
• C. 1.4 m/s
• D. 9.8 m/s

Answer 1

Answer: (A)

14.0 m/s

Answer 2

Given $\mu =0.2,\, g=9.8\, m / s ^{2}$ $r =100\, m$ Maximum velocity with which the cyclist can take a circular path of radius $r$ is $v=\sqrt{\mu r g}$ So, $v=\sqrt{0.2 \times 100 \times 9.8}$ $=\sqrt{196}=14\, m / s$