Question

An automobile moves on a level horizontal road in a circle of radius 30 m. The coefficient offriction between tires and road is 0.50. The maximum speed with which this car can roundthis curve is:

Answer 1

Answer:

v = 12.12 m/s      

Explanation:

It is given that,

Radius of circle, r = 30 m

The coefficient friction between tires and road is 0.5, $\mu=0.5$

The centripetal force is balanced by the force of friction such that,

$v^2=\mu gr$

$v^2=0.5\times 9.8\times 30$

v = 12.12 m/s

So, the maximum speed with which this car can round this curve is 12.12 m/s. Hence, this is the required solution.