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m/s to rad/s
The formula to convert linear speed
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 considere a vehicle with wheels having a radius of 10 centimetres. If the vehicle is moving at the linear velocity of 2 m/s, the rotation speed of the wheels is given by: