Radian per second to degree per second converter
The Radian per second to degree per second converter computes radian per second to degree per second from the relation deg/s = rad/s x 57.29577951308232. It takes a single input (radian per second in rad/s) and returns the degree per second in deg/s. Because this is a pure mathematical or physical formula rather than a jurisdiction-specific rule, the result never changes over time: the same inputs always produce the same answer, so you can rely on it whether you are checking homework, sizing a design, or sanity-checking another tool. Enter your values in the fields below and the result updates instantly; you can also share a permalink that pre-fills the exact calculation, which is useful for teaching, reports, or collaboration. For example, with radian per second = 10 rad/s, the degree per second works out to 572.957795 deg/s, and the worked example further down the page shows every step so you can follow the arithmetic and reproduce it by hand. The method is the standard form documented by NIST SP 811 / BIPM SI, and the figure above each result carries the date it was last verified. This tool is general information and is not a substitute for professional engineering, medical, financial, or scientific advice; always check critical results against the primary source and your own judgement.
With radian per second = 10 rad/s, the result is 572.957795 deg/s.
Applies to: any numeric inputs. Method source: NIST SP 811 / BIPM SI, checked 2026-06-22.
The formula
deg/s = rad/s x 57.29577951308232
Worked example
With radian per second = 10 rad/s:
- deg/s = rad/s x 57.29577951308232
- degree per second = 572.957795 deg/s
This worked example is one of the automated golden-value tests this calculator must pass before it can publish.
What this assumes
- Inputs are real numbers in the units shown.
- The result is the exact value of deg/s = rad/s x 57.29577951308232; general information, not professional advice.
Frequently asked questions
What formula does this use?
deg/s = rad/s x 57.29577951308232, the standard form documented by NIST SP 811 / BIPM SI.
Does the result ever change over time?
No. This is a pure formula with no external rate, so the same inputs always give the same result.
Official sources and verification
- Method: NIST SP 811 / BIPM SI, checked 2026-06-22.
Reviewed by the CalculatorHub team, edited by James Graham, 2026-06-22. See our methodology. General information, not professional advice.