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How to convert an angular velocity to a linear velocity?


The formula to calculate the linear speed  expressed in meters per second [] from the angular velocity  expressed in radians per second [] is:





where:

  •  is the linear velocity expressed in meters per second ()
  •  is the angular velocity expressed in radians per second ()
  •  is the radius expressed in meters ()



For example, let's consider a vehicle with wheels having a radius of 10 centimetres. If the rotational velocity of the wheels is 20 rad/s, the linear speed of the vehicle is given by:





You'll find on this page an online converter from angular to linear velocity.

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