Linear to Angular Speed Calculator
Enter the values to get the angular velocity.
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- 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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