{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"frequency"},"result":{"entity_type":"calculator","id":"frequency","calculator_id":"frequency","canonical_url":"https://tttkmbb.com/conversion/frequency","name":"Frequency Converter","title":"Frequency Converter – Hertz, kHz, MHz, GHz, rpm, rad/s and Beats per Minute","category":"conversion","category_name":"Unit Conversion","tool_name":"convert_frequency","featured_mcp_tool":false,"description":"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.","use_when":"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).","inputs":[{"name":"value","label":"Value","type":"number","required":true,"description":"Amount to convert, expressed in from_unit.","example":3000},{"name":"from_unit","label":"From unit","type":"enum","required":true,"values":[{"value":"Hz","label":"Hertz (Hz)","aliases":["hertz","cycles per second","cycles-per-second","cyclespersecond","cycles·per·second","cycles_per_second","cps","1/s","per second","per-second","persecond","per·second","per_second","rps","rev/s","revolutions per second","revolutions-per-second","revolutionspersecond","revolutions·per·second","revolutions_per_second"]},{"value":"kHz","label":"Kilohertz (kHz)","aliases":["kilohertz"]},{"value":"MHz","label":"Megahertz (MHz)","aliases":["megahertz"]},{"value":"GHz","label":"Gigahertz (GHz)","aliases":["gigahertz"]},{"value":"THz","label":"Terahertz (THz)","aliases":["terahertz"]},{"value":"rpm","label":"Revolutions per minute (rpm)","aliases":["revolutions per minute","revolutions-per-minute","revolutionsperminute","revolutions·per·minute","revolutions_per_minute","rev/min","r/min","revs per minute","revs-per-minute","revsperminute","revs·per·minute","revs_per_minute","rotations per minute","rotations-per-minute","rotationsperminute","rotations·per·minute","rotations_per_minute"]},{"value":"bpm","label":"Beats per minute (bpm)","aliases":["beats per minute","beats-per-minute","beatsperminute","beats·per·minute","beats_per_minute","beat per minute","beat-per-minute","beatperminute","beat·per·minute","beat_per_minute"]},{"value":"rad/s","label":"Radians per second (rad/s)","aliases":["radians per second","radians-per-second","radianspersecond","radians·per·second","radians_per_second","radian per second","radian-per-second","radianpersecond","radian·per·second","radian_per_second","rad/sec"]},{"value":"deg/s","label":"Degrees per second (°/s)","aliases":["°/s","degrees per second","degrees-per-second","degreespersecond","degrees·per·second","degrees_per_second","degree per second","degree-per-second","degreepersecond","degree·per·second","degree_per_second","deg/sec"]}],"description":"Unit of the input value. 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Accepted symbols: Hz, kHz, MHz, GHz, THz, rpm, bpm, rad/s, deg/s; spelled-out names and common abbreviations are accepted too.","type":"string","enum":["Hz","kHz","MHz","GHz","THz","rpm","bpm","rad/s","deg/s"],"examples":["rpm"]},"to_unit":{"description":"Unit to convert into (same symbols as from_unit).","type":"string","enum":["Hz","kHz","MHz","GHz","THz","rpm","bpm","rad/s","deg/s"],"examples":["Hz"]}},"additionalProperties":false,"required":["value","from_unit","to_unit"]},"output_schema":{"type":"object","properties":{"result":{"description":"Converted value expressed in to_unit (rounded to 6 decimals; see result_text for very small or very large values).","type":"number"},"result_text":{"description":"The conversion as text with 6 significant figures, e.g. \"5 mi = 8.04672 km\".","type":"string"},"formula":{"description":"Relation used, e.g. \"1 mi = 1.609344 km\".","type":"string"},"factor":{"description":"Multiplier from from_unit to to_unit (result = value × factor); absent for non-linear conversions.","type":"number"},"conversion_table":{"description":"The input value expressed in every supported frequency unit (6 significant figures), keyed by unit symbol.","type":"object"}}},"formula":"result = value × factor, factor = (1 from_unit in Hz) / (1 to_unit in Hz)","method":"1 Hz = 1 cycle per second = 60 rpm = 60 bpm = 2π rad/s = 360 °/s.","sources":[{"name":"NIST Special Publication 811 – Guide for the Use of the International System of Units (SI), Appendix B conversion factors","url":"https://www.nist.gov/pml/special-publication-811","type":"standard","retrieved_at":"2026-09-23"},{"name":"BIPM – The International System of Units (SI Brochure, 9th edition)","url":"https://www.bipm.org/en/publications/si-brochure","type":"standard","retrieved_at":"2026-09-23"},{"name":"Wikipedia – Conversion of units","url":"https://en.wikipedia.org/wiki/Conversion_of_units","type":"reference","retrieved_at":"2026-09-23"}],"freshness":{"type":"static","max_age_seconds":null,"note":"Deterministic formula with fixed constants; results never go stale. Inputs supplied by the caller determine the output."},"examples":[{"name":"3000 rpm to hertz","inputs":{"value":3000,"from_unit":"rpm","to_unit":"Hz"},"expected":{"result":50,"formula":"1 rpm = 0.01666666667 Hz","conversion_table":{"rad/s":314.159,"kHz":0.05}},"url":"https://tttkmbb.com/api/v1/calculate/frequency?value=3000&from_unit=rpm&to_unit=Hz"},{"name":"2.4 GHz to MHz","inputs":{"value":2.4,"from_unit":"GHz","to_unit":"MHz"},"expected":{"result":2400,"factor":1000,"conversion_table":{"Hz":2400000000,"THz":0.0024}},"url":"https://tttkmbb.com/api/v1/calculate/frequency?value=2.4&from_unit=GHz&to_unit=MHz"}],"faq":[{"q":"How do rad/s and Hz relate?","a":"Angular frequency ω = 2πf: 1 Hz = 6.28319 rad/s, and 1 rad/s = 9.5493 rpm."},{"q":"Is rpm the same as Hz?","a":"Both count cycles, per minute versus per second: rpm / 60 = Hz. bpm (beats per minute) converts identically."}],"tags":["frequency converter","rpm to hz","hz to rpm","rad/s to rpm","ghz to mhz","bpm"],"related":[{"calculator_id":"wavelength-frequency","reason":"Wavelength of a wave at this frequency."},{"calculator_id":"angle","reason":"Angular units used in rad/s and °/s."},{"calculator_id":"pendulum","reason":"Period and frequency of a pendulum."}],"links":{"html":"https://tttkmbb.com/conversion/frequency","markdown":"https://tttkmbb.com/conversion/frequency.md","json":"https://tttkmbb.com/conversion/frequency.json","api":"https://tttkmbb.com/api/v1/calculate/frequency","schema":"https://tttkmbb.com/api/v1/calculators/frequency","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-23"},"timestamp":"2026-09-23T23:23:57Z","next_actions":[{"tool":"run_calculator","calculator_id":"frequency","reason":"Run Frequency Converter with the inputs above."}],"links":{"markdown":"https://tttkmbb.com/conversion/frequency.md"}}