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 December 12th, 2016, 11:38 AM #1 Newbie   Joined: Dec 2016 From: United States Posts: 2 Thanks: 0 Linear and Angular Speed? A wheel of radius 10 inches is rotating 30°/sec. What is the linear speed in in/sec and the angular speed in RPM? What is the angular speed in radians/sec?
 December 12th, 2016, 12:10 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,510 Thanks: 1236 linear speed is $v = r\omega$ where $v$ is in in/sec, $r$ is in inches, and $\omega$ is in radians/sec start by converting 30 deg/sec to radians/sec to convert rad/sec to RPM (rev/min) ... $\dfrac{radians}{sec} \cdot \dfrac{1 \, revolution}{2\pi \, radians} \cdot \dfrac{60 \, sec}{1 \, min} = \dfrac{rev}{min}$
December 12th, 2016, 10:42 PM   #3
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Linear and Angular speed?

Quote:
 Originally Posted by haleywyn A wheel of radius 10 inches is rotating 30°/sec. What is the linear speed in in/sec and the angular speed in RPM? What is the angular speed in radians/sec?
Or you can use this formula:

Linear speed = Angular speed x Radius of the rotation

v = ωr

v = linear speed (m/s)

r = radius of the rotation (m)

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