What this converter does
This converter turns hertz into revolutions per minute and back instantly. Since one hertz is one revolution per second, it is exactly 60 rpm — the link between drive frequency and shaft speed. Type a value and read the result as you type.
It also covers rad/s and rev/s. For the electrical pole relationship of a motor, use a motor-speed calculator; this tool handles the pure unit conversion.
The units it covers
Rotational speed converts through the radian per second; one revolution is 2π radians, so 1 Hz is 60 rpm.
View all units & their values
| Unit | Symbol | Value | Mainly used |
|---|---|---|---|
| Hertz | Hz | 6.2832 | Revolutions per second |
| Revolutions per minute | rpm | 0.10472 | Motors, engines, fans |
| Radian per second | rad/s | 1 | SI angular velocity |
| Revolutions per second | rps | 6.2832 | High-speed rotation |
The formula
Each unit has a fixed value in radians per second, so any pair converts through that base:
result = value × factor_from ÷ factor_toWhere:
- value = the number you typed
- factor_from = the “from” unit’s value in rad/s
- factor_to = the “to” unit’s value in rad/s
Worked example
Convert 50 Hz to RPM.
1 Hz = 60 rpm50 × 60 = 3,000 rpmSo 50 Hz corresponds to 3,000 rpm — the synchronous speed of a 2-pole motor.
The units in this example
Cycles or revolutions per second — one hertz equals one revolution each second.
- 1 Hz = 60 rpm
- 1 Hz = 6.2832 rad/s
- 1 Hz = 1 rps
- 50 Hz = 3,000 rpm
Turns per minute — the everyday measure of motor, engine and fan speed.
- 60 rpm = 1 Hz
- 1 rpm = 0.01667 Hz
- 1 rpm = 0.10472 rad/s
- 3,000 rpm = 50 Hz