Question

The maximum safe speed of a car if the friction between the tyres and road is compromised due to rain is 
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Answer 1

Answer:

speed should be less

..............

Answer 2

Concept:

• Maximum safe speed of a vehicle
• Balancing forces
• Frictional force and coefficient of friction

Given:

• mass of the car = m
• The radius of the circular path = r
• acceleration due to gravity = g
• The coefficient of friction = μ

Find:

• The maximum safe speed of a vehicle

Solution:

The centrifugal force of the car should be equal to the frictional force between the car and the road to avoid any skidding and accidents.

Fc = centrifugal force of the car

Fc = mv^2/r

Ff = Frictional force between the road and the car

Ff = mμg

Ff = Fc

mv^2/r = mμg

v^2/r = μg

v^2 = rμg

v = √(rμg)

The maximum safe speed of the car is √(rμg).

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