This frequency converter relates cyclic frequency, rotational rate, angular frequency, and period for engineering and physics use.
Physics
Frequency Converter
Convert cyclic frequency, rotational rate, angular frequency, and period.
Calculator
About this calculator
Formula notes
hertz = input x unit factor; RPM = hertz x 60; angular frequency = 2 x pi x hertz; period = 1 / hertz.
Worked examples
- Example: 60 RPM equals 1 Hz, about 6.2832 rad/s, and a 1 second period.
- 2 Hz equals 120 RPM, about 12.566 rad/s, and a 0.5 second period.
How to use it
- Enter a frequency value with its unit.
- Read hertz, kilohertz, megahertz, gigahertz, RPM, angular frequency, and period.
- Confirm the source unit matches your measurement.
Frequently asked questions
Can I enter rotations per minute directly?
Yes. RPM and revolutions per hour are available as input units and converted to hertz first.
Why is the period zero for zero frequency?
A zero-frequency input is rejected because period = 1 / frequency is undefined.
Limits and interpretation
- The conversion assumes a steady periodic signal and does not describe waveform shape, phase, or harmonic content.
- Rotational and angular conversions use the standard factors 60 and 2 pi; gear ratios or motor poles are not modeled.