Angular Velocity Converter

Convert signed angular velocity between rad/s, rad/min, mrad/s, deg/s, deg/min, RPM, RPS, and rev/h for engineering, controls, and motion work.

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Angular velocity converter Convert signed angular-rate values between radians, degrees, and revolution-based engineering units without changing the direction sign.

Common presets

Sign-preserving conversion

Negative values stay negative to represent reversed rotation direction. This page translates units only and does not choose a clockwise or counterclockwise sign convention for you.

Angular speed is not surface speed

Angular velocity describes how fast something rotates. Tangential or rim speed also depends on radius, so that requires a separate calculation.

Enter an angular velocity Provide a signed or unsigned angular rate to compare the supported units.

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Engineering Rates

Angular velocity converter: rad/s, deg/s, RPM, and engineering rate units explained

An angular velocity converter rewrites the same rotational rate in the unit your controls, drawings, formulas, or instrumentation expect. Engineering contexts often prefer rad/s, motion interfaces may use degrees per second, and equipment labels still lean on RPM or revolutions per second.

How angular velocity units connect

Angular velocity describes the rate of angular change over time. One revolution equals 2π radians and 360 degrees, so every supported unit is a scaled expression of the same underlying motion.

That is why 1 revolution per second equals 2π rad/s, 360 degrees per second, 60 RPM, and 3,600 revolutions per hour. The motion does not change when the label changes.

ω = dθ / dt

Defines angular velocity as change in angle over change in time.

1 revolution = 2π rad = 360°

Links revolution-based and angle-based expressions of the same rotation.

RPM = RPS × 60

Converts between per-second and per-minute revolution counts.

Why signed angular velocity matters

Unlike a simple machine-speed label, angular velocity can be treated as a signed quantity. Negative values can represent reversed direction, even though the exact meaning of positive and negative depends on the axis convention your project uses.

That makes it useful in robotics, servo systems, simulation, and control loops where direction carries meaning. This converter preserves the sign rather than forcing every value to be a positive magnitude.

Angular velocity is not tangential speed

Angular velocity tells you how fast something is rotating. Tangential or surface speed also depends on radius, so a wheel, fan, or disk can share the same angular velocity as another object while having a very different rim speed.

Use this page to translate angular-rate units cleanly, then apply radius separately if you need linear surface speed or travel distance.

Further reading

Frequently asked questions

What is the difference between RPM and rad/s?

RPM counts full revolutions per minute. Rad/s measures angular change directly in radians per second. The values differ by both a 2π conversion and the time-unit conversion.

 Can angular velocity be negative?

Yes. A negative value can represent reversed rotation direction, depending on the axis convention used in your system or formula.

 Is angular velocity the same as surface speed?

No. Surface speed depends on radius as well as angular velocity. Two objects can share the same rad/s but have different tangential speeds if their radii differ.

 Why does this converter include rad/min and deg/min?

Those units appear in motion-control, scanning, and engineering workflows where the time base is slower than per-second reporting but the value is still an angular rate.

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