RPM to Hz Converter
Convert revolutions per minute (RPM) to hertz (Hz) and back in one step. Ideal for motors, rotating machinery, and frequency calculations.
RPM ⇄ Hz Calculator
Result rounded to 6 decimal places.
60 RPM is equal to 1 Hz.
Quick RPM to Hz Conversion Table
| RPM | Hz |
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RPM to Hz formula
RPM (revolutions per minute) and Hz (hertz) both describe frequency. RPM counts how many full turns happen in one minute, while Hz counts how many cycles happen in one second.
From RPM to Hz:
Hz = RPM ÷ 60
From Hz to RPM:
RPM = Hz × 60
Why divide or multiply by 60?
There are 60 seconds in one minute. Since hertz is “per second” and RPM is “per minute”, you convert between them by scaling with 60:
- Per minute → per second: divide by 60 (RPM → Hz).
- Per second → per minute: multiply by 60 (Hz → RPM).
Worked examples
Example 1 – 1800 RPM to Hz
Convert 1800 RPM to Hz.
Use the formula:
Hz = RPM ÷ 60 = 1800 ÷ 60 = 30 Hz
So a motor running at 1800 RPM has a rotational frequency of 30 Hz.
Example 2 – 50 Hz to RPM
Convert 50 Hz to RPM.
RPM = Hz × 60 = 50 × 60 = 3000 RPM
A 50 Hz supply often corresponds to a synchronous speed of 3000 RPM for a 2‑pole motor.
Example 3 – 60 Hz to RPM
Convert 60 Hz to RPM.
RPM = 60 × 60 = 3600 RPM
On a 60 Hz system, a 2‑pole synchronous motor runs at 3600 RPM (ignoring slip).
Typical RPM and Hz values in practice
- 1 Hz = 60 RPM – one revolution per second.
- 10 Hz = 600 RPM – slow‑to‑moderate rotational speed.
- 30 Hz = 1800 RPM – common motor speed on 60 Hz with 4 poles.
- 50 Hz = 3000 RPM – common motor speed on 50 Hz with 2 poles.
RPM, Hz, and angular velocity (rad/s)
Sometimes you also need angular velocity in radians per second (rad/s). The relationships are:
From Hz to rad/s: ω = 2π × Hz
From RPM to rad/s:
ω = 2π × (RPM ÷ 60)
For example, 1800 RPM → 30 Hz →
ω = 2π × 30 ≈ 188.50 rad/s.
FAQ
How do you convert RPM to Hz?
Divide the RPM value by 60. For instance, 1200 RPM ÷ 60 = 20 Hz. You can use the calculator above to do this instantly.
How do you convert Hz to RPM?
Multiply the frequency in hertz by 60. For example, 25 Hz × 60 = 1500 RPM.
Is RPM the same as frequency?
RPM is a type of frequency (rotational frequency) measured per minute. Hertz is the SI unit of frequency measured per second. They describe the same concept but with different time units.
Can RPM or Hz be negative?
In many practical applications you only care about magnitude, so RPM and Hz are taken as non‑negative. In more advanced physics or control systems, a negative sign can indicate direction of rotation, but the conversion formulas still use the absolute value.