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# Angular and Linear Velocity

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1. A wheel is spinning at an angular velocity of 19 rad/sec. If the radius of the wheel is 9 inches, what is the linear velocity of a point on the edge of the wheel, in inches per second?

Oct 20, 2019

$$\frac{19\;rad}{1sec}\qquad \frac{2\pi \;rad}{1revolution}\qquad \frac{9\;inchess}{rad} \qquad \frac{?inches}{sec}\\ \\~\\ \frac{9\;inches}{rad}\times \frac{19\;rad}{1sec}=\frac{9*19\;inches}{second}=171inches/sec$$