Which angular velocity units are supported?

The converter supports rad/s, rpm, deg/s, and Hz.

What does Hz mean in this converter?

Hz represents revolutions per second, so 1 Hz equals 2π rad/s, 60 rpm, and 360 deg/s.

Can I enter a negative angular velocity?

Yes. Negative values are supported and can represent clockwise rotation.

How many decimal places can I display?

You can choose from 0 to 10 decimal places. The default is 6.

Does the result include equivalent values in other units?

Yes. The result lists the converted value in the selected output unit and equivalents in rad/s, rpm, deg/s, and Hz.

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Angular Velocity Converter (rad/s / rpm / deg/s / Hz)

Convert angular velocity (angular speed) between radian per second (rad/s, SI base), revolutions per minute (rpm = 2π/60 rad/s), degrees per second (deg/s = π/180 rad/s), and hertz (Hz, used as revolution per second = 2π rad/s). Converts via rad/s to the target unit and lists all four equivalents. Note: 1 Hz in angular-frequency context means one full revolution per second, so 1 Hz = 2π rad/s ≈ 6.283185307 rad/s. Reference: vinyl LP 33⅓ rpm ≈ 3.49 rad/s, car engine idle ~800 rpm ≈ 83.8 rad/s.

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2 examples

1500 rpm (4-pole motor @ 50 Hz) → rad/s ≈ 157.079633

1500 rpm × 2π/60 = 157.079633 rad/s = 9000 deg/s = 25 Hz. Synchronous speed of a 4-pole induction motor on a 50 Hz grid.

{"result":"1500 rpm = 157.079633 rad/s. All units: rad/s=157.079633, rpm=1500, deg/s=9000, Hz=25.","metadata":{"input":{"inputUnit":"rpm","value":1500,"outputUnit":"rad/s"},"result":{"outputValue":157.079633,"outputUnit":"rad/s","rad/s":157.079633,"rpm":1500,"deg/s":9000,"Hz":25}}}

1 Hz → rpm = 60

1 revolution per second × 60 = 60 rpm = 2π rad/s = 360 deg/s. Demonstrates the angular-frequency meaning of Hz.

{"result":"1 Hz = 60 rpm. All units: rad/s=6.283185, rpm=60, deg/s=360, Hz=1.","metadata":{"input":{"inputUnit":"Hz","value":1,"outputUnit":"rpm"},"result":{"outputValue":60,"outputUnit":"rpm","rad/s":6.283185,"rpm":60,"deg/s":360,"Hz":1}}}

Inputs

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4 options

SettingsAdjust formats, ranges, numbers, and modes.4

Input unitselectOptionalValuenumberRequiredAngular velocity in the selected Input unit. Can be negative (clockwise).Output unitselectOptionalDecimal PlacesnumberOptional

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Samples

Angular Velocity Converter (rad/s / rpm / deg/s / Hz)

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Examples

1. 4-pole motor speed conversion

2. Revolution frequency to rotational speed

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3. Vinyl record rotation