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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.

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SOLUTION

The relationship between linear and angular speed is given as

[tex]\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}[/tex]

Substituting the values into the equation we have

[tex]\begin{gathered} v=rw \\ v=16\times\text{328}\pi \\ v=16487.07825 \end{gathered}[/tex]

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