Relationship Between Linear & Angular Motion

The greater the radius between a given point on a rotating body and the axis of rotation, the greater the linear distance traveled by that point during angular motion.


1.The linear distance traveled and the radius of rotation have the same units of length

2.The angular distance is measured in radians (not degrees)

Linear and Angular Velocity are similarly related

Linear and Angular Acceleration

For a body in angular rotation, its acceleration may be resolved into two perpendicular components – ALONG (TANGENTIAL ACCELERATION) and PERPENDICULAR (RADIAL ACCELERATION) to the PATH of ANGULAR MOTION, at ANY GIVEN TIME.

At = r a   and Ar = v2/r (less radius or greater linear velocity = greater Ar)

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