Unit category

Angular Velocity Conversions

Convert between RPM, radians per second and degrees per second and review units used for engine speed and rotational motion.

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Live result

9.54929658551 rpm
1 rad/s = 9.54929658551 rpm

1 rad/s in every unit

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Popular conversions

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Unit guides

3 units

Detailed guide to this category

Angular velocity measures how fast an object rotates or revolves, expressed as an angle per unit of time.

RPM (revolutions per minute) is the most common practical unit, while radians per second is the SI derived unit used in engineering calculations.

Physical quantity
Angular velocity
SI unit
Radian per second
Common practical unit
RPM
Typical use
Engine speed and rotational motion

What is angular velocity?

Angular velocity describes the rate of rotation of an object around an axis.

It is used for engine and motor speeds, turbines, hard drives and rotational dynamics.

RPM, radians and degrees per second

RPM expresses rotation as full revolutions per minute, a practical unit for engines and machinery.

Radians per second is the SI unit preferred in physics and engineering formulas.

RPM, radians per second and degrees per second

RPM counts complete rotations over a minute and is common for motors and engines. Radians per second is the SI-form unit used in mechanics, while degrees per second is useful for orientation and motion displays.

Convert the time basis as well as the angle basis: one revolution per minute is not the same magnitude as one revolution per second.

Unit comparison table

UnitSymbolSI equivalentSystemCommon use
Revolutions per Minuterpm≈ 0.10472 rad/sRotational speed unitMotors, engines and machinery
Radian per Secondrad/sSI reference unitSIMechanics and control systems
Degree per Second°/s≈ 0.01745 rad/sAngular-rate unitSensors and orientation systems

Units

UnitSymbolInformation
Revolutions per Minute (RPM)rpmView unit guide
Radian per Secondrad/sView unit guide
Degree per Second°/sView unit guide

Sources

  1. BIPM: The International System of Units (SI Brochure)
  2. NIST: Guide for the Use of the International System of Units

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