# Angular,rotational, translational and tangential velocity

can someone please explain me the differences between angular, rotational, translational and tangential vecoity pls. I am struggling to understand how their differ from each other and how they are caluclated.

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hi paperboy!

angular and rotational velocity are different names for the same thing

the usual name is angular velocity, measured in degrees per second or radians per second

it's called rotational velocity when it's measured in revolutions (ie "rotations") per second or, more usually, per minute (r.p.m.), see http://en.wikipedia.org/wiki/Angular_velocity" [Broken] …
When measured in cycles or rotations per unit time (e.g. revolutions per minute), it is often called the rotational velocity and its magnitude the rotational speed
translational velocity just means ordinary velocity, measured in metres per second

tangential velocity is the component of ordinary (translational) velocity in the tangential direction

for example, if a rigid body is rotating about a fixed axis, with an angular velocity of ω radians per second, then any point at distance r metres from the axis will have a purely tangential velocity, of ωr metres per second

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thank you very much for the detailed answer!