Question

. What is the maximum constant speed with which a car can round a circular turn of radius 80.0 m ona flat road if the coefficient of static friction between tires and road isμs= 0.55

Answer 1

Maximum constant speed with which a car can round is 20.76 m/s.

Step-by-step explanation:

We know, for car to be move on flat road without slipping its centripetal force should not exceed static friction.

Therefore, maximum value of friction must be equal to centripetal force.

Therefore,
`(mv^2)/(r)=\mu_smg`

Now, putting all given values and
`g = 9.8 \ m/s^2`.

We get ,
`(v^2)/(80)=0.55* 9.8\\\\v^2=0.55 * 9.8* 80\\v=20.76\ m/s.`

Hence, this is the required solution.