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Frequency converter

Convert cyclic frequency, revolutions per minute or hour, and angular rates. Also find the corresponding period and angular frequency.

Calculator

Value in selected target unit
1.00000000
Target unit
Hz
Cyclic frequency
1
Period
1
Angular frequency (rad/s)
6.28318531

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How this calculator works

A cycle contains one revolution, 360 degrees or 2 pi radians. The converter first turns the entered rate into cycles per second, then applies the target scale. SI prefixes are decimal, with case distinguishing millihertz from megahertz. The period is the elapsed time for one cycle, so this tool requires a positive rate.

Formula

fHz = value times source factor; converted = fHz / target factor. 1 rpm = 1/60 Hz; 1 rad/s = 1/(2 pi) Hz; T = 1/f; omega = 2 pi f.

Worked example

60 rpm is 1 Hz, with a period of 1 s and angular frequency 6.283185 rad/s. A rate of 360 degrees per second represents the same frequency.

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Frequently asked questions

Why does rad/s differ from hertz?

A radian is part of a revolution. One full cycle has 2 pi radians.

Can I convert zero frequency?

A zero rate has no finite period, so this converter accepts positive rates only.

What is the difference between mHz and MHz?

One millihertz is 0.001 Hz; one megahertz is one million hertz.

Sources

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