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Frequency Hz to rpm

Convert frequency in hertz to revolutions per minute, with angular velocity and period.

Built and maintained by The NumberPrism Editorial TeamEditorial policy

Your details

Input unit

Frequency

Results update as you type. The formula and assumptions are explained below the calculator.

Rotation speed

3,000 rpm

Hertz50 Hz

Revolutions per minute3,000 rpm

Angular velocity314.159 rad/s

Period20 ms

1 Hz = 1 cycle per second = 60 rpm. The conversion assumes steady rotation and ignores acceleration, vibration and gearing.

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What does this tool do?

Hertz counts cycles per second, while rpm counts rotations per minute. This converter handles Hz, kHz and rpm, and also reports angular velocity in radians per second and the period of one cycle.

The Formula

rpm = Hz × 60; angular velocity = Hz × 2π rad/s; period = 1 ÷ Hz

Frequently Asked Questions

How do I convert rpm to hertz?

Divide rpm by 60. A motor turning at 1,800 rpm has a frequency of 30 Hz.

Does rpm measure frequency?

It measures rotational speed, which is a frequency of rotation. The conversion is exact for steady rotation, but it does not account for acceleration or vibration.

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