A circular track of radius 300 m is banked at an angle of 15° . If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the optimum speed of the race car to avoid wear and tear on its tyres? (tan .15°=0.268)

Question

A circular track of radius 300 m is banked at an angle of 15° . If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the optimum speed of the race car to avoid wear and tear on its tyres? (tan .15°=0.268) (A) 15.2 ms -1 (B) 19.6 ms -1 (C) 26.8 ms -1 (D) 28.1 ms -1

Tardigrade Admin · Accepted Answer

v0=(R g tan θ)(1/2)=(300 × 9.8 × 0.268)(1/2) =28.1 ms -1

Q. A circular track of radius 300 m is banked at an angle of $1 5^{\circ} .$ If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the optimum speed of the race car to avoid wear and tear on its tyres? (tan $1 5^{\circ} = 0.268)$

$15.2 m s^{- 1}$

$19.6 m s^{- 1}$

$26.8 m s^{- 1}$

$28.1 m s^{- 1}$

$v_{0} = (R g tan θ)^{\frac{1}{2}} = (300 \times 9.8 \times 0.268)^{\frac{1}{2}}$
$= 28.1 m s^{- 1}$

Q. A circular track of radius 300 m is banked at an angle of 15∘. If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the optimum speed of the race car to avoid wear and tear on its tyres? (tan 15∘=0.268)

15.2ms−1

19.6ms−1

26.8ms−1

28.1ms−1