Angular rate converter
Converts turn and rotation rates: °/s, °/min, rad/s, rpm, and arcsec or mas per year.
3 °/s is 0.5 rpm.
- Input
Provenance
- Computed by
- units.angular-rate.convert 1.0.0, core 0.1.0
- Model
- Exact unit definitions
- Accuracy
- Exact to double precision: each conversion is one correctly rounded ratio of exact definitions
- Notes
- None
- Cites
- National Institute of Standards and Technology, Guide for the Use of the International System of Units (SI), NIST Special Publication 811
Something look off?
How we got thisFormula, worked example, sources, and proof
Model: Exact unit definitions
Accuracy: Exact to double precision: each conversion is one correctly rounded ratio of exact definitions
When to use this: Use this for a rate of turn or rotation: a standard-rate turn in degrees per second against a gyro output in rad/s, a shaft or rotor speed in rpm, or a plate-motion and station-velocity rotation published in milliarcseconds per year.
Limitations: The year in arcsec/yr and mas/yr is the Julian year of exactly 365.25 days, which is what published velocities are quoted against; a calendar year would move the answer by up to a fifth of a percent. This converts a rate, not a turn: how fast something rotates, not how far it has rotated, which is the angle converter. And a rate of turn is not a radius -- an aircraft turning at 3 °/s sweeps a different circle at every speed, so a turn radius needs the speed as well.
Worked example: A standard-rate turn (3 °/s) in rpm. Source: Exact unit definitions (NIST SP 811 Appendix B). It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.
You enter
- To unit
- rpm
- Value
- 3 deg/s
You get
- Converted
- 0.5 rpm
- Input
- 3 °/s
Review: Not yet independently reviewed by a metrologist.
Last verified: 2026-09-18, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.
Status: version 1.0.0, core 0.1.0. See this tool in the verification report.
Checked against: 40 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, National Institute of Standards and Technology, 2008 edition. Appendix B.8, Factors for units listed alphabetically.