Linear Velocity

on . Posted in Classical Mechanics

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.


Linear Velocity Formula

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

\( r =  v \;/\; \omega \)

\( \omega =  v \;/\; r \)

Symbol English Metric
\( v  \) = linear velocity \(ft\;/\;sec\) \(m\;/\;s\)
\( r  \) = radius of the circular path \(deg\) \(rad\)
\( \omega \)   (Greek symbol omega) = angular velocity \(deg\;/\;sec\) \(rad\;/\;s\)


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Tags: Velocity