A wheel with a diameter of 8 inches completes 15 revolutions in 3.5 seconds. Find the linear speed of the edge of the wheel in inches per second.

Question

A wheel with a diameter of 8 inches completes 15 revolutions in 3.5 seconds. Find the linear speed of the edge of the wheel in inches per second. Round to the nearest whole number.

Answer 1

Hi,

In fact you need to find circumference of circle ( wheel) with diameter is 8 inches

c = 2 pi R = 8 pi

15 revolutions =15 * 8pi = 120 pi in 3. 5 second

for finding in one second you need to divide by 3.5

120 pi / 3.5 =107.71 after rounded 106 inches at one second.

Hope that was useful.

Minoo