Question

A car of mass 800kg moves on a circular track of radius 20m. The force of friction between the tyres and the tarmac is 4800N . Determine the maximum speed at which the car can be driven on the track without skidding

Answer 1

Answer:

14 m/s

Explanation:

When a car goes round a curved road, it requires some centripetal force. While rounding the curve, the wheels of the car have a tendency to leave the curved path and regain the straight line path. Force of friction between the wheels and the mad opposes this tendency of the wheels. This force (of friction) therefore acts, towards the centre of the circular track and provides the necessary centripetal force.

∴

r

mv

2

≤μmg

v

2

≤μrg

v≤

μrg

Hence, the maximum velocity with which a vehicle can go round a level curve, without a skidding is v=

μrg

Here, r=40m

μ=0.5

∴v=

0.5×40×9.8

=14m/s