Question

a car has wheels with a 10 inch radius. if each wheel's rate of turn is 8 revolutions per second, how fast (linear speed) is the car moving on units of inches/second

Answer 1

Given that the radius of the wheel is 10 inches and its rate of turn is 8 revolutions per second.

The speed of the car= 8 times the circumference of the wheel.

Recall the formula for the circumference of the circle is

`C=2\pi r`

Substitute r=10, we get

`C=2*3.14*10=62.8\text{ inches.}`

the circumference of the wheel is 62.8 inches.

The speed of the car= 8 times the circumference of the wheel.

The speed of the car= 8 times 62