Frequency Converter
Convert hertz, kilohertz, megahertz and gigahertz, rpm, radians per second and beats per minute.
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- Exact?
In Every Unit
| Unit | Value |
|---|
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How to Convert Frequency Units
One hertz is one cycle per second. One revolution per minute is 1/60 Hz, and one cycle is 2π radians.
Hz = rpm ÷ 60 rad/s = rpm × 2π ÷ 60 MHz = GHz × 1,000
Worked Example
Common Conversions
| From | Equals |
|---|---|
| 1 rpm | 0.01666667 Hz |
| 1 Hz | 60 rpm |
| 1 rad/s | 9.549297 rpm |
| 1 kHz | 1,000 Hz |
| 1 GHz | 1,000 MHz |
| 1 bpm | 0.01666667 Hz |
Unit Definitions
| Unit | Equals | Exact? |
|---|---|---|
| Hertz (Hz) | 1 Hz | Exact |
| Kilohertz (kHz) | 1,000 Hz | Exact |
| Megahertz (MHz) | 1,000,000 Hz | Exact |
| Gigahertz (GHz) | 1,000,000,000 Hz | Exact |
| Terahertz (THz) | 1 × 10¹² Hz | Exact |
| Revolutions per minute (rpm) | 0.01666666667 Hz | Exact |
| Revolutions per hour (rev/h) | 0.000277777778 Hz | Exact |
| Radians per second (rad/s) | 0.1591549431 Hz | Exact |
| Degrees per second (°/s) | 0.002777777778 Hz | Exact |
| Beats per minute (bpm) | 0.01666666667 Hz | Exact |
Factors follow NIST Special Publication 811, Appendix B. "Exact" means the unit is defined as that value; results are rounded only for display.
Tips
A 4-pole motor on 60 Hz power runs at 1,800 rpm synchronous, which is 30 Hz of shaft rotation. For period (time per cycle), take 1 ÷ frequency.