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Convert between Hz, kHz, MHz, GHz, RPM, and rad/s for electronics and engineering.
Frequency is the number of complete cycles or oscillations per unit of time, measured in hertz (Hz). It applies to sound waves, electromagnetic signals, rotating machinery, and electrical currents.
| Application | Frequency |
|---|---|
| Human hearing (low) | 20 Hz |
| AC power (US) | 60 Hz |
| Middle C (music) | 261.6 Hz |
| Human hearing (high) | 20 kHz |
| FM radio band | 88-108 MHz |
| WiFi 2.4 GHz | 2.4 GHz |
| WiFi 5 GHz | 5 GHz |
| CPU (modern) | 3-5 GHz |
Multiply hertz by 60 (seconds per minute) to get RPM.
RPM = Hz × 60
Multiply hertz by 2π (≈ 6.283) to get radians per second.
rad/s = Hz × 2π
kHz = 10³ Hz, MHz = 10⁶ Hz, GHz = 10⁹ Hz.
1 GHz = 1,000 MHz = 1,000,000 kHz
Formula
f (Hz) = 1 ÷ T (s) | ω (rad/s) = 2π × f | RPM = f × 60f = Frequency in hertz (Hz) — cycles per second
T = Period in seconds (s) — time for one complete cycle
ω (omega) = Angular frequency in radians per second (rad/s)
RPM = Revolutions per minute — rotational frequency
Worked Example
Convert 3,000 RPM to Hz
Did you know? The hertz was adopted as the SI unit of frequency in 1960, named after Heinrich Hertz who first demonstrated radio waves in 1887. Modern CPUs operate at billions of hertz (GHz) — a 4 GHz processor completes 4,000,000,000 cycles every second.
Sources
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