How are frequency and period related?

They're reciprocals: period T = 1 ÷ frequency f, and f = 1 ÷ T. So 1 kHz has a period of 1 ms, and a 1 ms period is 1 kHz.

What is angular frequency?

Angular frequency ω is the rate of phase change in radians per second, ω = 2πf. A 1 Hz signal has ω ≈ 6.283 rad/s. It's used throughout signal processing and physics.

How does RPM relate to frequency?

Revolutions per minute is just frequency in cycles per minute: RPM = frequency in Hz × 60. So 1 Hz is 60 RPM.

Why do some numbers use exponential notation?

Very large or very small results (like a period in nanoseconds for a GHz signal) are shown in scientific notation to stay readable instead of a long string of digits.

Frequency Converter

Enter a frequency or a period in any common unit and get all the others at once. Frequency and period are reciprocals (f = 1/T), so the tool converts your input to hertz, then shows it in Hz, kHz, MHz and GHz, and the matching period in seconds, milliseconds, microseconds and nanoseconds. It also gives the angular frequency ω = 2πf in radians per second and the equivalent in revolutions per minute (RPM). Handy for electronics and signal work, audio and music, RF and timers, and physics. Everything is computed locally in your browser.

—

ValueUnit

Frequency

1,000

kHz

MHz

0.001

GHz

1.0000e-6

Period

0.001

µs

1,000

1,000,000

Angular frequency (rad/s)

6,283.1853

RPM

60,000

How to use

Type a value.
Pick its unit — a frequency (Hz–GHz) or a period (s–ns).
Read every frequency and period unit, plus angular frequency and RPM; copy any value.

Frequently asked questions

How are frequency and period related?: They're reciprocals: period T = 1 ÷ frequency f, and f = 1 ÷ T. So 1 kHz has a period of 1 ms, and a 1 ms period is 1 kHz.
What is angular frequency?: Angular frequency ω is the rate of phase change in radians per second, ω = 2πf. A 1 Hz signal has ω ≈ 6.283 rad/s. It's used throughout signal processing and physics.
How does RPM relate to frequency?: Revolutions per minute is just frequency in cycles per minute: RPM = frequency in Hz × 60. So 1 Hz is 60 RPM.
Why do some numbers use exponential notation?: Very large or very small results (like a period in nanoseconds for a GHz signal) are shown in scientific notation to stay readable instead of a long string of digits.

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