How do you convert Hz to kHz?

Divide by 1,000. For example, 50,000 Hz = 50,000 / 1,000 = 50 kHz. To go the other way, multiply kHz by 1,000 to get Hz.

How do you convert MHz to Hz?

Multiply by 1,000,000. For example, 2.4 MHz = 2.4 x 1,000,000 = 2,400,000 Hz. To convert Hz to MHz, divide by 1,000,000.

How do you convert rad/s to Hz?

Divide by 2 x pi (approximately 6.2832). For example, 376.99 rad/s = 376.99 / 6.2832 = 60 Hz. To convert Hz to rad/s (angular frequency), multiply by 2 x pi.

How many Hz is 1 MHz?

1 MHz = 1,000,000 Hz (one million hertz). The prefix mega means 10 to the 6th power. Similarly, 1 kHz = 1,000 Hz, 1 GHz = 1,000,000,000 Hz, and 1 THz = 1,000,000,000,000 Hz.

How do you convert frequency to RPM?

Multiply frequency in Hz by 60. For example, a motor running at 25 Hz completes 25 x 60 = 1,500 RPM. For a 50 Hz motor (common in European countries), speed = 50 x 60 = 3,000 RPM (at 2 poles, no slip).

What is the difference between Hz and rad/s?

Hz (hertz) measures complete cycles per second. Rad/s (radians per second) measures angle swept per second, where one complete cycle = 2 x pi radians. The relationship is omega (rad/s) = 2 x pi x f (Hz). For 60 Hz: omega = 2 x 3.14159 x 60 = 376.99 rad/s.

How do you convert THz to GHz?

Multiply by 1,000. For example, 0.6 THz = 0.6 x 1,000 = 600 GHz. Terahertz (THz) is 10 to the 12th Hz; gigahertz (GHz) is 10 to the 9th Hz. Visible light has frequencies of 430–750 THz = 430,000–750,000 GHz.

How do you convert kHz to MHz?

Divide by 1,000. For example, 500 kHz = 500 / 1,000 = 0.5 MHz. AM radio spans roughly 535–1,605 kHz, which is 0.535–1.605 MHz. To convert MHz to kHz, multiply by 1,000.

Frequency Converter — CalculatorCove

Sources & Methodology

✓All conversion factors verified against NIST SI unit definitions and the International System of Units (SI) 9th edition.

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NIST — SI Unit Definitions

The hertz (Hz) is the SI unit of frequency, defined as one cycle per second. All prefixes (kilo, mega, giga, tera) are exact powers of 10.

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BIPM — International System of Units (SI)

Bureau International des Poids et Mesures — the authority for SI definitions used globally in science and engineering.

All values are first converted to Hz using the exact multiplier, then converted to each output unit.
kHz: ÷ 1,000 | MHz: ÷ 1,000,000 | GHz: ÷ 10⁹ | THz: ÷ 10¹²
rad/s: × 2π | RPM: × 60 | Period (s): 1/f

⏱ Last reviewed: April 2026

Frequency Unit Conversion Guide 2026

Frequency is measured in hertz (Hz), where 1 Hz means one complete oscillation or cycle per second. As frequencies scale from audio to radio to microwave to visible light, different multiples of Hz become more convenient. Understanding how to convert between them is essential in electrical engineering, telecommunications, acoustics, and physics.

Frequency Unit Reference Table

Unit	Symbol	Equals (Hz)	Common Use
Hertz	Hz	1	Power frequency, audio, base unit
Kilohertz	kHz	1,000	AM radio, audio sampling
Megahertz	MHz	1,000,000	FM radio, CPU clocks (legacy), Wi-Fi channels
Gigahertz	GHz	10⁹	Modern CPUs, Wi-Fi 2.4/5/6 GHz, 5G
Terahertz	THz	10¹²	Far-infrared, visible light (430–750 THz)
Rad/s	ω	1/(2π) ≈ 0.159	AC circuit analysis, angular frequency
RPM	RPM	1/60 ≈ 0.0167	Motor speed, engine speed, turntable speed

Key Conversion Formulas

Hz → kHz: divide by 1,000 kHz → Hz: multiply by 1,000
MHz → GHz: divide by 1,000 GHz → MHz: multiply by 1,000
Hz → RPM: multiply by 60 RPM → Hz: divide by 60
Hz → rad/s: multiply by 2π (≈6.2832) rad/s → Hz: divide by 2π
Hz → Period (s): T = 1/f Period → Hz: f = 1/T

Practical Conversion Examples

US AC mains (60 Hz) → angular frequency = 60 × 2π = 376.99 rad/s
Wi-Fi 2.4 GHz → MHz = 2,400 MHz; period = 1/2.4×10⁹ = 0.417 ns
Motor at 1,800 RPM → Hz = 1,800/60 = 30 Hz
Concert A (440 Hz) → period = 1/440 = 2.27 ms; rad/s = 2,764.6 rad/s
Red light (700 nm wavelength) → f = 3×10⁸/700×10⁻⁹ = 428.6 THz

💡 Motor frequency tip: For a synchronous AC motor, speed (RPM) = (120 × f) / number of poles. A 2-pole motor on 60 Hz runs at (120 × 60) / 2 = 3,600 RPM. A 4-pole motor on 60 Hz runs at 1,800 RPM. Real induction motors run slightly slower due to slip (typically 2–5%).

Frequently Asked Questions

Divide by 1,000. For example, 50,000 Hz = 50 kHz. To go back, multiply kHz by 1,000. So 2.4 kHz = 2,400 Hz. The prefix kilo means 10 to the 3rd power (1,000).

Multiply by 1,000,000. For example, 2.4 MHz = 2,400,000 Hz. To convert Hz to MHz, divide by 1,000,000. The prefix mega means 10 to the 6th power.

Divide RPM by 60. For example, 3,600 RPM / 60 = 60 Hz. This converts rotations per minute to rotations per second (= Hz). To convert Hz to RPM, multiply by 60. A 60 Hz motor runs at 60 x 60 = 3,600 RPM at synchronous speed (2-pole).

Divide by 2 x pi (6.28318). For example, 376.99 rad/s / 6.28318 = 60 Hz. Conversely, multiply Hz by 2 x pi to get rad/s. This is because one complete cycle = 2 x pi radians.

1 MHz = 1,000,000 Hz. Likewise, 1 kHz = 1,000 Hz, 1 GHz = 1,000,000,000 Hz, and 1 THz = 1,000,000,000,000 Hz. Each prefix step up multiplies by 1,000.

Multiply by 1,000. For example, 5 GHz = 5,000 MHz. To convert MHz to GHz, divide by 1,000. So 2,400 MHz = 2.4 GHz. The prefix giga is 10 to the 9th; mega is 10 to the 6th.

Hz (hertz) counts complete cycles per second. Rad/s counts angle traversed per second — one complete cycle = 2 x pi radians. The conversion is omega (rad/s) = 2 x pi x f (Hz). Engineers use Hz for everyday frequency; rad/s (angular frequency omega) in differential equations and phasor analysis.

Divide by 1,000. For example, 500 kHz = 0.5 MHz. AM radio spans 535–1,605 kHz = 0.535–1.605 MHz. To convert MHz to kHz, multiply by 1,000.

Multiply by 1,000. For example, 0.6 THz = 600 GHz. Visible red light at 430 THz = 430,000 GHz. THz is 10 to the 12th Hz; GHz is 10 to the 9th Hz.

Period T = 1/f. For 60 Hz: T = 1/60 = 0.01667 seconds (16.67 ms). For 2.4 GHz: T = 1/2,400,000,000 = 0.417 nanoseconds. This converter shows the period automatically for every conversion.

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