Question

A bicycle tire with a 16-inch radius has an angular speed of 328(pi) radians per minute. Find the linear speed of the tire in feet per second. Round to the nearest tenth.

Answer 1

The relationship between linear and angular speed is given as

`\begin{gathered} v=rw \\ \text{Where } \\ v=l\text{inear sp}eed=? \\ r=\text{ radius = 16-inch} \\ w=\text{ angular sp}eed\text{ = 328}\pi\text{ radians } \end{gathered}`

Substituting the values into the equation we have

`\begin{gathered} v=rw \\ v=16*\text{328}\pi \\ v=16487.07825 \end{gathered}`