Question

A cyclist speding at 18km/hr on a level road takes a sharp circular turn of radius 3m without reducing the speed .The coefficient of static friction b/w the tyres and the road is 0.1 .will the cyclistvslip while taking the turn

Answer 1

Given:

Speed = 18 km / hr

Radius = 3 m

The coefficient of static friction between the tyres and the road = 0.1

To find:

Whether the cyclist will slip while taking the turn.

Solution:

First the maximum velocity of the cyclist is calculated,

Maximum velocity = √ μ r g

Where,

μ - coefficient of fiction

r - radius

g - gravity

Hence,

Substitute the values,

Maximum velocity = √ 0.1×3×10

Maximum velocity = 1.732 m/s

The maximum velocity with which cyclist can take the turn without falling or slipping is 1.7 m/s

Calculating the velocity of the cyclist,

18 km/h 

In m /s ,

Velocity = 5 m/s

Hence, the cyclist will slip during taking the turn.

The answer is yes.