Q.

A circular racetrack of radius 300 m is banked at an angle of 15°. If the coefficient of friction between the wheels of a racing car and the road is 0.2, the maximum permissible speed (in m s-1) to avoid slipping is

(Take tan 15°=0.27)

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

39.2 ms-1

b

38.2 ms-1

c

38.5 ms-1

d

38 ms-1

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Here R=300 m, θ=15°, g=9.8 ms-2, μ=0.2

The maximum permissible speed is given by

vmax=Rgμ+tanθ1-μtanθ=300×9.8×0.2+0.271-0.2×0.27        =38.2 ms-1

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon