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Question from Kenzi, a student:

A wheel of radius 14 inches is rotating 45°/sec. What is the linear speed in in/sec and the
angular speed in RPM? (Round your answers to three decimal places)

I already found the linear speed. I got 10.996 in/sec. I don't know how to find the angular
speed.

Hi Kenzi,

$\large\frac{360}{45} = 8$ so the wheel rotates one eights of a revolution per second.

\[\frac18 \frac{\mbox{revolutions}}{\mbox{second}} \times \frac{60}{1} \frac{\mbox{seconds}}{\mbox{minute}} = \frac{60}{8} \mbox{RPM.}\]

Penny

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