Frequency Converter
Convert between hertz, kilohertz, megahertz, gigahertz, terahertz, RPM, and BPM. Includes period conversion, wavelength at speed of light, angular frequency, and nearest musical note.
Converted Value
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Result
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Hz
Wavelength
Wavelength (vacuum) —
Wavelength (medium) —
Wave Properties
Angular Freq ω —
Musical Pitch
Nearest Musical Note —
Cents Deviation —
How to Use This Calculator
- Enter the frequency value and select the From Unit.
- Select the To Unit to see the conversion.
- Use All Units tab to see the frequency in all 7 units at once.
- Use Period tab to convert frequency to period (T = 1/f).
- The Professional tab adds wavelength, angular frequency, and nearest musical note.
Formula
Conversions use Hz as base: kHz = Hz÷1000 | MHz = Hz÷1,000,000 | GHz = Hz÷1,000,000,000
RPM = Hz×60 | Period T = 1/f | Wavelength λ = c/f (c = 299,792,458 m/s)
Example
Convert 440 Hz (concert A): 0.44 kHz | 0.00044 MHz | T = 1/440 = 2.27 ms | λ = 299,792,458/440 = 681,346 m in vacuum.
Frequently Asked Questions
- To convert Hertz to kilohertz, divide by 1,000. To convert to megahertz, divide by 1,000,000. To convert to gigahertz, divide by 1,000,000,000. Examples: 440 Hz = 0.44 kHz; 1,000 Hz = 1 kHz; 100,000 Hz = 100 kHz; 1,000,000 Hz = 1 MHz; 2,400,000,000 Hz = 2.4 GHz. All frequency units use standard SI metric prefixes: kilo (k) = 10³, mega (M) = 10⁶, giga (G) = 10⁹, tera (T) = 10¹². Reverse conversions: 1 kHz = 1,000 Hz; 1 MHz = 1,000,000 Hz; 1 GHz = 1,000,000,000 Hz. The hertz (Hz) is named after Heinrich Hertz and means "cycles per second" — it replaced the older unit "cycles per second (cps)" in 1960.
- Frequency (f) and period (T) are exact reciprocals: T = 1/f and f = 1/T. Period is the time for one complete cycle, measured in seconds (or ms, μs, ns). Frequency is cycles per second (Hz). Examples: 440 Hz (concert A) → T = 1/440 = 0.002273 s = 2.273 ms; 50 Hz (AC mains, Europe) → T = 1/50 = 0.02 s = 20 ms; 1 MHz → T = 1 μs; 1 GHz → T = 1 ns; 60 Hz (AC mains, US) → T = 16.67 ms. Higher frequency means shorter period: audio (20 Hz–20 kHz) has periods of 0.05 ms to 50 ms; radio frequencies (kHz to GHz) have periods of microseconds to nanoseconds; visible light (400–700 THz) has periods of about 1.4–2.5 femtoseconds.
- To convert RPM (revolutions per minute) to Hz (revolutions per second), divide by 60. RPM / 60 = Hz. Examples: 60 RPM = 1 Hz; 600 RPM = 10 Hz; 3,000 RPM = 50 Hz; 3,600 RPM = 60 Hz; 10,000 RPM = 166.7 Hz. This is important for synchronous electric motor speeds: a 2-pole motor on 50 Hz mains runs at 3,000 RPM; a 4-pole motor runs at 1,500 RPM; a 6-pole motor at 1,000 RPM. On 60 Hz mains (US): 2-pole = 3,600 RPM; 4-pole = 1,800 RPM. To convert Hz to RPM, multiply by 60. Angular frequency (radians per second) ω = 2π × f = 2π × RPM/60. Example: 3,000 RPM = 50 Hz → ω = 2π × 50 = 314.16 rad/s.
- The wavelength of a 2.4 GHz WiFi signal is approximately 12.5 cm (0.125 m). Wavelength λ = c/f, where c = speed of light = 299,792,458 m/s ≈ 3 × 10⁸ m/s, and f = 2.4 × 10⁹ Hz. Calculation: λ = 3×10⁸ / 2.4×10⁹ = 0.125 m = 12.5 cm. The 5 GHz WiFi band: λ = 3×10⁸ / 5×10⁹ = 0.06 m = 6 cm. Shorter wavelengths (5 GHz) pass through walls less effectively but carry more data. AM radio (1 MHz) has λ = 300 m; FM radio (100 MHz) has λ = 3 m; 4G LTE (700 MHz) has λ ≈ 43 cm; 5G millimeter wave (28 GHz) has λ ≈ 1.07 cm. The relationship λ × f = c is exact in vacuum; in other media, the speed of light is slower (c/n, where n is the refractive index), shortening the wavelength.
- Concert pitch A₄ (the A above middle C) is standardized at 440 Hz by the International Organization for Standardization (ISO 16). One octave higher is A₅ = 880 Hz; one octave lower is A₃ = 220 Hz; A₂ = 110 Hz; A₁ = 55 Hz. Each octave doubles (or halves) the frequency. Middle C is C₄ ≈ 261.63 Hz. The full piano keyboard spans about 27.5 Hz (A₀, lowest) to 4,186 Hz (C₈, highest). Human hearing range: approximately 20 Hz to 20,000 Hz (20 kHz), degrading with age. The 440 Hz standard was established internationally in 1939 and confirmed in 1955/1975 by ISO. Some orchestras (particularly in Europe) tune to A = 442 or 443 Hz for a brighter sound, creating a slight deviation from the international standard.