Physics

Angular Velocity Calculator (RPM, rad/s, Linear Speed)

Enter the rotation speed and a radius.

By TheCalcTools Updated October 17, 2026 Formula checked and tested

Your numbers

Rotation speed (RPM)

Radius

Angular velocity (rad/s)

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Degrees per second

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Frequency (Hz)

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Rim speed (m/s)

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Rim speed (km/h)

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Centripetal acceleration (g)

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One revolution is 2π radians, so ω = RPM × 2π ÷ 60. A point at radius r moves at v = ωr and accelerates toward the centre at ω²r.

That acceleration is why grinding wheels and fans have maximum safe speeds.

ω = 2π × RPM ÷ 60; v = ωr; a = ω²r

Using the default values shown in the calculator:

Rotation speed (RPM)	3000
Radius (m)	0.15

3,000 RPM = 314.16 rad/s.
At 0.15 m the rim moves at 47.12 m/s with 1,509.6 g of centripetal acceleration.

Result:

How fast is a 3,000 RPM wheel's rim?

For a 15 cm radius, about 47 m/s (170 km/h).