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December 12th, 2016, 11:38 AM   #1
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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?
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December 12th, 2016, 12:10 PM   #2
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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) ...

$\dfrac{radians}{sec} \cdot \dfrac{1 \, revolution}{2\pi \, radians} \cdot \dfrac{60 \, sec}{1 \, min} = \dfrac{rev}{min}$
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December 12th, 2016, 10:42 PM   #3
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Linear and Angular speed?

Quote:
Originally Posted by haleywyn View Post
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?
you can find your answer using online math tools of AshBox.
Or you can use this formula:

Linear speed = Angular speed x Radius of the rotation

v = ωr

v = linear speed (m/s)

ω = angular speed (radians/s)

r = radius of the rotation (m)
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