Question

A circular track of radius 300 m is banked at an angle π/12 radian. If the coefficient of friction between wheel of a vehicle and road is 0.2, the maximum safe speed of vehicle is

• A. 28 ms^-1
• B. 38ms^-1
• C. 18ms^-1
• D. 48ms^-1

Answer 1

Answer: (B)

38ms^-1

Answer 2

Maximum velocity,

v_max = $\left\lbrack \left( \frac{\mu + \tan\theta}{1 - \mu\tan\theta} \right)rg \right\rbrack^{1/2}$

= $\left\lbrack \left( \frac{0.2 + \tan 15^{o}}{1 - 0.2\tan 15^{o}} \right)300 \times 9.8 \right\rbrack^{1/2}$= 38 ms^-1