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Linear Velocity

 

Linear Velocity Formula

\( v \;=\;  r \cdot \omega  \)     (Linear Velocity)

\( r \;=\;  \dfrac{ v }{ \omega }\)

\( \omega \;=\; \dfrac{ v }{ r }\)

Symbol English Metric
\( v  \) = Linear Velocity \(ft\;/\;sec\) \(m\;/\;s\)
\( r  \) = Circular Path Radius \(deg\) \(rad\)
\( \omega \)   (Greek symbol omega) = Angular Velocity \(deg\;/\;sec\) \(rad\;/\;s\)

Linear velocity, abbreviated as v, is the rate of change of an object's linear position with respect to time.  It is a vector quantity that has both magnitude and direction.  In simpler terms, linear velocity tells you how fast an object is moving in a straight line and in which direction.  It's important to note that linear velocity is different from angular velocity.  Linear velocity is concerned with the motion along a straight path, while angular velocity deals with the rate of rotation around an axis. 

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