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Linear to Angular Speed Calculator

Enter the values to get the angular velocity.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

Linear speed converts to angular velocity using ω = v / r, where v is the linear (tangential) speed at a point, r is the radius from the axis of rotation, and ω comes out in radians per second — multiply by 60/(2π) to get RPM. The relationship reflects that points farther from the center must move faster in a straight line to complete the same rotation.

Mechanical engineers, machinists, and physics students use it to relate a wheel, pulley, gear, or turntable's rim speed to its rotational speed — for example, finding the RPM of a wheel of known radius from a vehicle's road speed, or the required spindle speed for a given cutting speed on a lathe.

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