Question

The wheels of a car have a radius of 13 inches, and are rotating at 800 rpm. Find the speed of the car in miles/hour.

Answer 1

The speed of the car is 742.18 miles per hour.

How to find the angular velocity?

The Angular velocity = w = 800 rpm = 800 revolutions per minute

The Angular velocity = w = 800 x 2π radians per minute

w = 1600π radians per minute

Linear velocity = speed = v =r w

So,

v = 13 x 1600π feet per minute

v = 20800π feet per minute

v = 20800π x 60/5280 miles per hour

v = 742.18 miles per hour

So, the speed of the car is 742.18 miles per hour

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