Question

A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?

Answer 1

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.

Angular velocity of the tire

The angular velocity of the tire is the rate of change of angular displacement of the tire with time.

The magnitude of the angular velocity of the tire is calculated as follows;

ω = 2πN

where;

• N is the number of revolutions per second

ω = 2π x (5.25 / 3)

ω =  11 rad/s

Tangential velocity of the tire

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.

The magnitude of the tangential velocity is caculated as follows;

v = ωr

where;

• r is the radius of the car's tire

v = 11r m/s

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