Convert Hz, kHz, MHz, GHz, THz, RPM, BPM, FPS, rad/s, cycles per day, and Planck frequency with period and wavelength outputs.
Quick answers: 1 kHz = 1,000 Hz, 1 MHz = 1,000,000 Hz, 60 RPM = 1 Hz, and angular frequency in rad/s equals 2pi times frequency in Hz.
Enter a value and unit to convert frequency across scientific, rotational, audio, video, and timing units.
All Converted Units
About Frequency Conversion
Frequency means cycles per second. One hertz is one complete cycle every second. The same idea appears in wave physics, electronics, radio, audio, mechanical rotation, video frame rates, heart rate, and periodic data.
Why this tool exists: frequency pages often convert only Hz to kHz, MHz, and GHz. This advanced converter also handles RPM, BPM, FPS, angular frequency in rad/s, cycles per day, period, and wavelength in vacuum, so physics and engineering users do not need several separate calculators.
Use the output as a calculation reference. Context matters: BPM usually describes beats, RPM describes rotations, FPS describes frames, and Hz describes cycles per second. Mathematically they can be converted through cycles per second, but the real-world meaning depends on the system being measured.
Frequency Conversion Formulas
The cleanest way to convert frequency is to use hertz as the base unit. Convert the input to hertz first, then divide by the target unit factor. Metric prefixes follow powers of 1,000, while rotation and timing units use seconds per minute, degrees per revolution, radians per revolution, or seconds per day.
For example, the factor for MHz is 1,000,000. Therefore 2.4 MHz is 2.4 x 1,000,000 = 2,400,000 Hz.
The converter uses c = 299,792,458 m/s for wavelength in vacuum. In air, cables, glass, water, or other media, wave speed is lower, so wavelength is shorter.
Common Frequency Conversion Table
This table gives quick conversions for common units. Use the calculator above when you need a custom value, a very small value, a very large value, or a non-metric unit such as RPM or rad/s.
| Unit | Symbol | Equivalent in Hz | Typical Use |
|---|---|---|---|
| Millihertz | mHz | 0.001 Hz | Very slow cycles and long-period signals |
| Hertz | Hz | 1 Hz | General cycles per second |
| Kilohertz | kHz | 1,000 Hz | Audio, sampling, low RF signals |
| Megahertz | MHz | 1,000,000 Hz | Radio, electronics, clock signals |
| Gigahertz | GHz | 1,000,000,000 Hz | Wi-Fi, radar, processors, microwave signals |
| Terahertz | THz | 1,000,000,000,000 Hz | Infrared, spectroscopy, high-frequency physics |
| RPM | rev/min | 1/60 Hz | Motors, wheels, fans, rotating machinery |
| Radians per second | rad/s | 1/(2pi) Hz | Angular frequency and harmonic motion |
| Cycles per day | cpd | 1/86,400 Hz | Daily patterns, tides, circadian rhythm, recurring data |
When Each Frequency Unit Is Used
Different fields use different frequency labels because the measured cycle is different. A radio engineer may think in MHz or GHz, a mechanic in RPM, a music producer in Hz or kHz, a cardiology context in BPM, and an animation workflow in FPS. The math can be unified, but the label should preserve the real meaning.
- Hz: the standard unit for cycles per second in physics, engineering, and signal processing.
- kHz: common for audio frequency, sampling rates, and lower radio-frequency ranges.
- MHz: useful for broadcast radio, microcontroller clocks, oscillators, and electronics timing.
- GHz: common for Wi-Fi, Bluetooth, radar, microwave links, and CPU clock-rate discussions.
- RPM: describes rotations per minute for motors, engines, fans, disks, wheels, and shafts.
- BPM: describes beats per minute in music tempo, heart rate, and repeated pulses.
- FPS: describes frames per second in video, games, animation, and camera recording.
- rad/s: describes angular frequency, especially in calculus, oscillation, control systems, and wave equations.
Worked Frequency Conversion Examples
To Hz: 2.4 x 1,000,000,000 = 2,400,000,000 Hz
To MHz: 2,400,000,000 / 1,000,000 = 2,400 MHz
Result: 2.4 GHz = 2.4e9 Hz = 2,400 MHz.
Formula: Hz = RPM / 60
Calculation: 3,600 / 60 = 60 Hz
Result: a motor turning at 3,600 RPM completes 60 revolutions per second.
Formula: omega = 2pi f
Calculation: 2 x pi x 440 = 2,764.6 rad/s
Result: 440 Hz is about 2,764.6 rad/s.
Frequency, Period, and Wavelength Explained
Frequency and period are inverses. A frequency of 10 Hz means 10 cycles happen every second, so one cycle takes 0.1 seconds. A frequency of 1 MHz means one million cycles happen every second, so one cycle takes one microsecond. This inverse relationship is one of the most useful checks when converting between timing and frequency.
Wavelength depends on wave speed. In vacuum, electromagnetic waves travel at the speed of light, so wavelength can be calculated from c divided by frequency. A 100 MHz radio wave in vacuum has a wavelength of about 3 meters. A 2.4 GHz Wi-Fi signal has a wavelength of about 0.125 meters in vacuum. In real materials, the velocity factor changes the wavelength, so cable and antenna calculations may need medium-specific values.
Angular frequency is different from ordinary frequency because it measures phase change in radians per second. One full cycle is 2pi radians. That is why the relationship is omega = 2pi f. This distinction matters in calculus, differential equations, oscillators, AC circuit analysis, and control systems.
Common Frequency Mistakes
- Mixing MHz and GHz: 1 GHz is 1,000 MHz, not 100 MHz.
- Forgetting the minute in RPM or BPM: divide by 60 to convert per minute values into per second values.
- Confusing Hz and rad/s: angular frequency is 2pi times larger than frequency in cycles per second.
- Using vacuum wavelength in all materials: wavelength changes when wave speed changes in a medium.
- Rounding too early: convert through hertz first, then round the final display value.
- Treating FPS as identical to every Hz context: 60 FPS is mathematically 60 events per second, but it describes frames, not necessarily a physical oscillation.
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Source Notes and Calculation Limits
Source note: This page uses standard SI frequency relationships, metric prefixes, 60 seconds per minute, 86,400 seconds per day, omega = 2pi f, and the exact speed of light in vacuum, c = 299,792,458 m/s. Planck frequency is calculated as the inverse of Planck time and is included as an extreme theoretical reference unit.
Results are produced in the browser by JavaScript and rounded for readable display. For lab reports, engineering specifications, radio design, or scientific publications, keep track of significant figures, measurement uncertainty, medium, and instrument calibration.
Frequently Asked Questions About Frequency Conversion
Final Notes
A frequency converter should do more than shift decimal places. It should preserve the meaning of the unit, show the base hertz calculation, explain period and angular frequency, and warn users when wavelength depends on wave speed. This optimized RevisionTown page puts the interactive converter first, then supports it with formulas, examples, tables, FAQs, internal links, and structured data.