Angular velocity converter

Supported units are radians per second, degrees per second, revolutions per minute, and revolutions per second, plus everyday aliases such as rad/s, deg/s, rpm, rev/min, rps, and rev/s.

What the angular velocity converter returns and which units it understands

An angular velocity conversion answers a narrow question: given a magnitude in one rotational unit, what is the equivalent magnitude in another unit that people actually use for motors, wheels, robots, and rigid-body kinematics. This calculator accepts a numeric value, a source unit, and a target unit, then returns the converted result rounded to a stable precision, the canonical from and to identifiers, human-readable labels, the intermediate value in radians per second, and the kinematic factors used for the bridge. Canonical ids are rad_s for radians per second, deg_s for degrees per second, rpm for revolutions per minute, and rps for revolutions per second. Everyday spellings such as rad/s, radians_per_second, deg/s, degrees_per_second, rev/min, revolutions_per_minute, rev/s, and revolutions_per_second normalize to those ids so forms, query strings, and spreadsheets can reuse the same contract without inventing private enums. There is no approximate encoder-drift path and no temperature-compensated gear model: the engine either multiplies and divides by fixed factors inside the supported magnitude range or rejects the input with invalid_input. Rejected cases include missing value, from, or to; non-finite numbers; magnitudes above the documented ceiling; and any unit string that is not on the supported list.

How factors are defined and how results stay reproducible

Optional scientific notation on the value string is allowed when it parses as a finite decimal; embedded spaces, hex prefixes, and non-numeric tokens are rejected with a clear message so a bad cell does not become a wrong motor set-point. Zero is a valid value and simply yields zero in the target unit; negative values keep their sign so signed rates from gyros or reverse spindles stay meaningful. Computation multiplies value by the source factor in radians per second, then divides by the target factor: one degree per second is exactly pi over one hundred eighty radians per second because a full turn is three hundred sixty degrees or two pi radians; one revolution per minute is two pi over sixty radians per second; one revolution per second is exactly two pi radians per second. The preferred fields are value for the angular-velocity magnitude, from for the source unit, and to for the target unit, with aliases amount, omega, n, quantity, and speed for the value, unit, from_unit, source, and input_unit for from, and target, to_unit, output_unit, and into for to so heterogeneous clients can share one contract. An optional precision field, with aliases decimals and dp, chooses how many decimal places to expose for value, result, and value_rad_s, defaulting to ten and capped at fifteen so JSON goldens stay stable. Pair the free browser run on this page with the priced API when you need the identical mathematical result inside an automated pipeline without re-implementing unit tables yourself.

Where angular velocity conversion fits in motors, robotics, and software

On this page the work runs entirely in your browser; through the API each successful lookup costs $0.002, failed validation is not charged, and nothing is stored after the response returns. That split — free interactive exploration and a priced, identical API — matches the rest of the KIT tier-A catalog and lets you move from a classroom demo to an automated pipeline without changing the mathematical result.