A motor at 3000 rpm
3000 revolutions per minute equals 50 cycles per second, or 50 Hz. Its cycle period is 0.02 seconds, and 100 complete revolutions take 2 seconds.
Convert cycles and rotation
rpm counts complete revolutions. Angular frequency uses 2π radians per cycle.
Converted amount
60 hertz (Hz)
revolutions per minute (rpm)
0.0166666667seconds per cycle
1.66666667seconds for your cycle count
Angular frequency: 376.991118 rad/s. This uses cyclic frequency, not digital sample-rate limits.
Equivalent units
| Unit | Amount |
|---|---|
| hertz (Hz) | 60 |
| kilohertz (kHz) | 0.06 |
| megahertz (MHz) | 0.00006 |
| gigahertz (GHz) | 6.00000000e-8 |
| terahertz (THz) | 6.00000000e-11 |
| revolutions per minute (rpm) | 3,600 |
| radians per second (rad/s) | 376.991118 |
Displayed values are rounded. CSV uses the available JavaScript numeric precision; it cannot restore precision absent from the input.
Calculations and CSV generation run locally in your browser. No measurement data is uploaded by this tool.
How to use the Frequency Converter
- 01
Enter a nonnegative frequency and choose its unit. Use rpm for complete rotations per minute or rad/s for angular frequency.
- 02
Choose the target unit and enter a cycle count for the timing estimate. Fractional cycle counts are supported.
- 03
Check the period and timing readouts. Select significant digits before copying a result, or export the unit equivalents.
Examples
A 60 Hz process
60 Hz corresponds to 3600 complete cycles per minute. Angular frequency is 120π rad/s, about 376.991118 rad/s.
A microwave-frequency value
2.4 GHz equals 2400 MHz. Its period is about 4.1667 × 10⁻¹⁰ seconds. This is the period of the specified repeating signal, not a network throughput value.
Frequency and angular frequency
Cyclic frequency counts complete repetitions per unit time. Angular frequency tracks phase in radians per second. One complete cycle advances phase by 2π radians, so angular frequency is 2π times the frequency in hertz. The rad/s option applies that relationship rather than treating one radian as one revolution.
Period is a reciprocal
For positive frequency f in hertz, one cycle takes T = 1/f seconds. A run of n cycles takes n/f seconds. Zero frequency has no finite cycle period; the tool labels that result undefined instead of printing infinity. A requested count of zero cycles gives a zero duration even at zero frequency.
Choosing the right interpretation
The rpm conversion assumes one cycle means one complete revolution. A sensor may output multiple pulses per revolution, so its pulse frequency requires an additional pulses-per-revolution factor. This tool does not infer gear ratios, pole counts, sampling limits, or a relationship between oscillator frequency and program execution speed.
What to know
- This tool assumes a stable repeating frequency. It does not analyze a recorded signal or measure a device.
- The timing model allows fractional cycles but does not model startup, jitter, or changing speed.
- Decimal and scientific notation are supported; commas and unit text are not. Calculations use JavaScript floating-point numbers and displayed results are rounded.
Common questions
Can I convert Hz directly to rpm?
Yes, when each cycle represents a complete rotation. Multiply hertz by 60. Pulse sensors may need an additional scale factor.
Why is rad/s larger than Hz?
A full cycle contains 2π radians. The same repetition rate therefore has an angular-frequency number about 6.283 times its hertz value.
Are negative frequencies supported?
This tool treats frequency as a nonnegative repetition rate. Signed frequency conventions used in signal analysis are outside its scope.
Can this convert pitch to a musical note?
No. It converts frequency units and timing quantities. Note naming and tuning systems require additional conventions.