Frequency Converter

Convert between frequency units: Hz, kHz, MHz, GHz, RPM, angular frequency, and period. Essential tool for engineers, physicists, and students.

Frequency Formula: f = 1/T = ω/(2π) = RPM/60

Where: f = frequency (Hz), T = period (seconds), ω = angular frequency (rad/s), RPM = revolutions per minute

AC Power (EU)
50 Hz
AC Power (US)
60 Hz
Musical A
440 Hz
Wi-Fi
2.4 GHz
Vinyl Record
33 RPM
FM Radio
88 MHz
Microwave Oven
5.8 GHz
CPU Clock
3.5 GHz
Period: 0.001 s (1 ms)
Frequency: 1000 Hz (1 kHz)
f = 1/T    and    T = 1/f
Frequency: 1000 Hz
Angular Frequency: 6283.185 rad/s
ω = 2πf    and    f = ω/(2π)
Calculating...
Frequency Conversion Results
Conversion Summary
1000 Hz = 1 kHz
All Unit Conversions
Hertz: 1000 Hz
Kilohertz: 1 kHz
Megahertz: 0.001 MHz
Gigahertz: 0.000001 GHz
Revolutions per minute: 60000 RPM
Angular frequency: 6283.185 rad/s
Period: 0.001 s
Millihertz: 1000000 mHz

Understanding Frequency

Frequency is the number of occurrences of a repeating event per unit of time. It is a fundamental concept in physics, engineering, music, and many other fields.

Mathematical Definition:

For a periodic event, frequency (f) is defined as:

f = N / t

where N is the number of occurrences and t is the time interval.

Frequency Units

Unit Symbol Definition Common Uses
Hertz Hz 1 cycle per second Base SI unit for frequency
Kilohertz kHz 10³ Hz = 1,000 Hz Audio frequencies, radio waves
Megahertz MHz 10⁶ Hz = 1,000,000 Hz FM radio, computer processors
Gigahertz GHz 10⁹ Hz = 1,000,000,000 Hz Microwave ovens, satellite communications
Terahertz THz 10¹² Hz = 1,000,000,000,000 Hz Infrared radiation, molecular vibrations
Revolutions per minute RPM 1 revolution per minute Rotational speed of engines, turntables
Angular frequency rad/s 2π × frequency in Hz Physics, engineering (rotational systems)

Electromagnetic Spectrum

Radio Waves
Microwaves
Infrared
Visible Light
Ultraviolet
X-rays
Frequency increases →

Common Frequency Ranges

1

Human Hearing: 20 Hz to 20,000 Hz (20 kHz). Most sensitive around 1,000-4,000 Hz.

2

Electrical Power: 50 Hz (Europe, Asia, Africa) or 60 Hz (Americas, parts of Asia).

3

Radio Broadcasting: AM radio: 530-1700 kHz, FM radio: 88-108 MHz.

4

Wi-Fi: 2.4 GHz and 5 GHz bands for wireless networking.

5

Visible Light: Approximately 430-790 THz (corresponding to wavelengths 380-700 nm).

Applications of Frequency

  • Electronics: Clock signals in digital circuits, oscillator circuits
  • Communications: Radio, television, cellular networks, satellite communications
  • Medicine: MRI machines, ultrasound imaging, pacemakers
  • Music: Pitch of musical notes, tuning instruments
  • Mechanical Engineering: Vibration analysis, rotational speed measurement
  • Astronomy: Studying celestial objects through electromagnetic radiation

Calculator Features:

  • Convert between all common frequency units: Hz, kHz, MHz, GHz, THz, RPM, rad/s
  • Calculate period from frequency and vice versa
  • Convert between regular frequency and angular frequency
  • Visualize frequency on logarithmic scale for better comparison
  • Preloaded examples of common frequencies for quick testing

Frequently Asked Questions

Frequency (f) measures how many cycles occur per second (Hz). Angular frequency (ω) measures the rate of change of the phase of a sinusoidal waveform, in radians per second. They are related by ω = 2πf. Angular frequency is particularly useful in physics and engineering when dealing with rotational motion or oscillatory systems.

To convert revolutions per minute (RPM) to Hertz (Hz), use the formula: f(Hz) = RPM / 60. This is because there are 60 seconds in a minute, so you're converting from "per minute" to "per second." For example, 1200 RPM = 1200/60 = 20 Hz.

Frequency spans an enormous range—from fractions of a Hertz for geological processes to terahertz for light. A logarithmic scale (like the decibel scale for sound or logarithmic graphs) compresses this wide range into a manageable visualization. Human perception of pitch and many physical phenomena also follow logarithmic relationships.

For waves traveling at a constant speed (like electromagnetic waves in a vacuum), frequency (f) and wavelength (λ) are inversely proportional: f = c/λ, where c is the speed of the wave. For light in a vacuum, c = 299,792,458 m/s. Higher frequency means shorter wavelength, and vice versa.

The Nyquist frequency is half the sampling rate of a discrete signal processing system. According to the Nyquist-Shannon sampling theorem, to accurately reconstruct a signal, the sampling frequency must be at least twice the highest frequency present in the signal. This is crucial in digital audio, telecommunications, and any application involving analog-to-digital conversion.