How do I convert RPM to rad/s?

Multiply the RPM value by pi/30, about 0.10472. For example, 3000 RPM equals about 314.16 rad/s.

How do I convert rad/s to RPM?

Multiply the rad/s value by 30/pi, about 9.5493. For example, 100 rad/s equals about 954.93 RPM.

How many RPM is 1 Hz?

1 hertz equals exactly 60 RPM, since a hertz is one full revolution per second and there are 60 seconds in a minute.

What is the difference between angular velocity and linear velocity?

Angular velocity measures how fast something rotates, in units like radians per second or RPM. Linear (tangential) velocity measures how fast a point on that rotating object actually moves through space, in units like meters per second, and depends on both the angular velocity and the distance from the center.

How do I calculate linear speed from RPM and radius?

Convert the RPM to radians per second, then multiply by the radius in meters: v = omega times r. This calculator does that conversion automatically.

What is angular velocity measured in?

The SI unit of angular velocity is radians per second (rad/s). Common practical units also include revolutions per minute (RPM), degrees per second, and hertz (Hz).

How do I convert degrees per second to RPM?

Divide the degrees per second value by 6. Since 1 revolution is 360 degrees and 1 minute is 60 seconds, 1 RPM equals 6 degrees per second.

What RPM does a typical car engine idle at?

Most car engines idle between about 600 and 1,000 RPM, and can safely rev to 6,000 to 7,000 RPM or higher depending on the engine.

Is this angular velocity converter free to use?

Yes, it is completely free, requires no registration, and runs entirely in your browser with no usage limits.

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Angular Velocity Conversions

11 units · linear speed calculator

Angular Velocity Converter

Convert instantly between RPM, radians per second, degrees per second, Hz and more, then calculate the linear (tangential) speed of any point on a rotating object.

11Angular velocity units

1 Hz= 60 RPM

0msServer round-trips

From

RPM

To

rad/s

314.1592653592rad/s

rad/s = RPM × 0.1047197551

Angular velocity

Angular velocity unit

Radius

Radius unit

9.42 m/s

v = ω × r

Runs locally, no data sent Standard NIST conversion factors Free, no sign-up

Angular velocity concepts & formulas

The math behind every conversion above, and the terms that come up most with rotating machinery.

Quick conversion table

Common values for your selected units in the converter above, updated automatically.

RPM	rad/s

Angular velocity unit reference

What each unit means, its exact size in radians per second, and where you'll typically see it used.

More converters from ConvertGPT

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Frequently asked questions

Straight answers to the questions people ask most about angular velocity and rotational speed.

All calculations and conversions run locally in your browser using standard NIST conversion factors. No data is sent anywhere.

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