Convert hertz, kilohertz, megahertz, gigahertz, RPM, and radians per second.
Frequency Converter relates ordinary frequency, rotational speed, and angular frequency using six supported units: hertz, kilohertz, megahertz, gigahertz, revolutions per minute, and radians per second. Enter a value with its source unit and choose the unit in which you need the equivalent rate. Metric prefixes are handled by powers of 1,000, RPM is related through 60 seconds per minute, and angular frequency uses 2 * pi radians per cycle. The common surprise is that 1 Hz equals 2 * pi rad/s, not 1 rad/s.
A concrete input and expected output from the current implementation.
Input
60 RPM, converted to hertz
Expected output
1 Hz
RPM counts revolutions per minute. Dividing 60 revolutions per minute by 60 seconds per minute gives exactly 1 revolution, or cycle, per second.
Hertz means cycles per second. The prefixed units scale that rate by powers of 1,000: 1 kHz is 1,000 Hz, 1 MHz is 1,000,000 Hz, and 1 GHz is 1,000,000,000 Hz. Conversion between them changes the displayed number while preserving the underlying frequency.
For a repeating rotation, RPM is converted to hertz by dividing by 60 because RPM is measured per minute and hertz is measured per second. Radians per second expresses angular frequency instead: one complete revolution contains 2 * pi radians, so a frequency f in hertz corresponds to an angular frequency of 2 * pi * f rad/s.
Not exactly. RPM reports revolutions per minute, while hertz reports cycles per second. They can describe the same repeating rotation after a time-unit conversion: divide RPM by 60 to obtain hertz, or multiply hertz by 60 to obtain RPM. That equivalence assumes each revolution counts as one cycle.
Yes. First interpret the megahertz value as cycles per second by multiplying it by 1,000,000, then multiply by 2 * pi radians per cycle. The resulting rad/s value is angular frequency. It is not a count of cycles per second, even though it represents the same rate of repetition.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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