Question
Physics Question on laws of motion
A circular racetrack of radius 300m is banked at an angle of 15?. The coefficient of friction between the wheels of a race car and the road is 0.2, the maximum permissible speed to avoid slipping is
A
18.6m s−1
B
28.6m s−1
C
38.6m s−1
D
48.6m s−1
Answer
38.6m s−1
Explanation
Solution
The maximum permissible speed is given by vmax =1−μtanθRg(μ+tanθ) =1−0.2×0.27300×10×(0.2+0.27) =38.6m s−1