Angular Velocity of a Rolling Sphere

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

angular velocity rolling sphere

Angular velocity of a rolling sphere, abbreviated as \(\omega\) (Greek symbol omega), without slipping is the velocity of a point on the circumference (relative to the center of the sphere), divided by the radius of the sphere.

 

Angular Velocity of a Rolling Sphere formula

\(\large{ \omega = \frac{ v }{ r }   }\)   

Where:

 Units English Metric
\(\large{ \omega }\)   (Greek symbol omega) = angular velocity \(\large{\frac{deg}{sec}}\) \(\large{\frac{rad}{s}}\)
\(\large{ v }\) = velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ r }\) = radius of a sphere \(\large{ ft }\) \(\large{ m }\)

 

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Tags: Equations for Velocity