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Frequency Converter

Converts frequency and rotational speed between hertz (Hz to THz), revolutions per minute, beats per minute, radians per second (angular frequency, ω = 2πf) and degrees per second.

When to use

You need a rate of rotation or oscillation in another unit, e.g. rpm to Hz, GHz to MHz, rad/s to rpm or bpm to Hz.

Do not use when: You need wavelength from frequency (use wavelength-frequency), a pendulum's period (use pendulum) or a time interval (use time).

Formula

result = value × factor, factor = (1 from_unit in Hz) / (1 to_unit in Hz)

1 Hz = 1 cycle per second = 60 rpm = 60 bpm = 2π rad/s = 360 °/s.

Inputs

Parameter	Type	Required	Description
`value`	number	yes	Amount to convert, expressed in from_unit.
`from_unit`	enum: Hz \| kHz \| MHz \| GHz \| THz \| rpm \| bpm \| rad/s \| deg/s	yes	Unit of the input value. Accepted symbols: Hz, kHz, MHz, GHz, THz, rpm, bpm, rad/s, deg/s; spelled-out names and common abbreviations are accepted too.
`to_unit`	enum: Hz \| kHz \| MHz \| GHz \| THz \| rpm \| bpm \| rad/s \| deg/s	yes	Unit to convert into (same symbols as from_unit).

Outputs

Output	Type	Description
`result`	number	Converted value expressed in to_unit (rounded to 6 decimals; see result_text for very small or very large values).
`result_text`	string	The conversion as text with 6 significant figures, e.g. "5 mi = 8.04672 km".
`formula`	string	Relation used, e.g. "1 mi = 1.609344 km".
`factor`	number	Multiplier from from_unit to to_unit (result = value × factor); absent for non-linear conversions.
`conversion_table`	object	The input value expressed in every supported frequency unit (6 significant figures), keyed by unit symbol.

Example

3000 rpm to hertz: {"value":3000,"from_unit":"rpm","to_unit":"Hz"} → {"result":50,"formula":"1 rpm = 0.01666666667 Hz","conversion_table":{"rad/s":314.159,"kHz":0.05}}

2.4 GHz to MHz: {"value":2.4,"from_unit":"GHz","to_unit":"MHz"} → {"result":2400,"factor":1000,"conversion_table":{"Hz":2400000000,"THz":0.0024}}

GET https://tttkmbb.com/api/v1/calculate/frequency?value=3000&from_unit=rpm&to_unit=Hz

Machine access

API: GET https://tttkmbb.com/api/v1/calculate/frequency (query parameters) or POST with a JSON body {"inputs": {...}}
Schema: https://tttkmbb.com/api/v1/calculators/frequency · Markdown: https://tttkmbb.com/conversion/frequency.md · JSON definition: https://tttkmbb.com/conversion/frequency.json
MCP: server https://tttkmbb.com/mcp, tool run_calculator with calculator_id="frequency"
OpenAPI operationId: convert_frequency
Freshness: static. Authentication: none. Rate limit: fair use (see rate limits).

Sources

FAQ

How do rad/s and Hz relate?

Angular frequency ω = 2πf: 1 Hz = 6.28319 rad/s, and 1 rad/s = 9.5493 rpm.

Is rpm the same as Hz?

Both count cycles, per minute versus per second: rpm / 60 = Hz. bpm (beats per minute) converts identically.

Related calculators

Wavelength & Frequency Calculator — Wavelength of a wave at this frequency.
Angle Converter — Angular units used in rad/s and °/s.
Pendulum Period Calculator — Period and frequency of a pendulum.