A circular race track of radius 400 m is banked at an angle of 10 If the coefficient - Physics - Laws Of Motion

Question

A circular race track of radius 400 m is banked at an angle of
10° If the coefficient of friction between the wheels of a race
car and the road is 0 2 , what is the (i) optimum speed of the car
to avoid wear and tear on its tyres (ii) maximum permissible speed
to avoid slipping, g = 9 8 m/s2

Govind · Accepted Answer

1The optimum speed of the racing car is given byv0=Rgtanθ12⇒v0=400×9
8×tan10°12⇒v0=26
29 m s-12 The maximum permissible speed is given asvm=Rgμ+tanθ1-μtanθ⇒vm=400×9
80 2+0 1761-0 20 176⇒vm=39 08 m s-1

A circular race track of radius 400 m is banked at an angle of 10°. If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping, g = 9.8 m/s2.

A circular race track of radius 400 m is banked at an angle of 10°. If the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping, g = 9.8 m/s².