Question

A yo-yo with a 2.5-inch diameter is spinning at a rate of 4000 revolutions per minute. Find the linear speed of the yo-yo in miles per hour. Round answer to nearest tenth.A) 28.2B) 29.7C) 30.9D) 31.4E) 32.8

Answer 1

Given diameter, d= 2.5 inches

We have to convert the diameter from inches to miles, since our answer will be in miles per hour

1 mile = 63360 inches

2.5 inches = 1/63360 x 25= 0.0003945707 miles

Reveolution per mins, n = 4000

The linear speed, v in miles per hour can be calculated by the formula

`\begin{gathered} v=\text{ }\pi\text{ d(n x 60) miles per hour} \\ \text{ }Where\text{ n = 4000rev/min} \\ d=0.0003945707 \end{gathered}`