Question

find the maximum speed at which a car can turn around a curve of 30 metre radius on a level rod if the coefficient of friction between the tires and the road is 0.4​

Answer 1

Given:

Radius of curve, r= 30 m

Coefficient of friction between the tires and the road, μ= 0.4

To Find:

Maximum speed at which car can turn around given curve

Solution:

We know that,

• Maximum velocity V which can be attained by vehicle for no skidding is given by

$\pink{\boxed{\bf{V=\sqrt{\mu rg}}}}$

where

μ is coefficient of friction between the tires and the road

r is radius of curve of road

g is acceleration due to gravity

$\rule{190}{1}$

Considering g= 10 m/s²

Let the maximum speed of car be V

So,

$\longrightarrow\rm{V=\sqrt{\mu rg}}$

$\longrightarrow\rm{V=\sqrt{0.4\times30\times10}}$

$\longrightarrow\rm{V=\sqrt{120}}$

$\longrightarrow\rm\green{V=10.95\ m/s(approx)}$

Hence, the maximum speed at which a car can turn around given curve is 10.95 m/s.