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Physics & engineering

Angular velocity from rotation rate

Angular velocity from rotation rate: Angular velocity in radians/second = RPM × 2π/60.

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How it works

Angular velocity in radians/second = RPM × 2π/60. Signed RPM can represent a chosen direction.

Input definitions

Rotation rate (revolutions/minute)
Enter the value in the labeled unit.

A worked example

Rotation rate (revolutions/minute)
60
6.283185

Assumptions & limits

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Can I use a negative rotation rate?

Yes. The sign represents rotation direction under your coordinate convention. Magnitude gives the angular speed.

How does Angular velocity from rotation rate work?

Angular velocity in radians/second = RPM × 2π/60. Signed RPM can represent a chosen direction.

What should I check before using Angular velocity from rotation rate?

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

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