Radian per second to revolution per second converter
The Radian per second to revolution per second converter computes radian per second to revolution per second from the relation rev/s = rad/s x 0.15915494309189535. It takes a single input (radian per second in rad/s) and returns the revolution per second in rev/s. These converters are for anyone who has a quantity written in one unit and needs it in another before acting on it: shoppers and cooks working from foreign packaging or recipes, students and technicians reading specifications drafted in a different system, and travellers and tradespeople judging whether a figure quoted in units they do not work in every day fits the limit they have to meet. Enter your values below and the result updates instantly, and you can share a permalink that pre-fills the exact calculation. Check that the unit named on the figure in front of you is the one you have selected, since names such as gallon, ton and ounce each cover more than one definition; convert directly from the original number rather than stepping through intermediate units; and carry no more decimal places into the answer than the original measurement genuinely had, because a converted value cannot be more precise than the reading behind it. For example, with radian per second = 10 rad/s, the revolution per second works out to 1.591549 rev/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. Some unit pairs convert by an exact rule while others give a result that never terminates and has to be rounded to fit the display, so the last digit shown here can differ from what another converter displays, and where a converted quantity governs a trade, dosing or contractual amount it is the tolerance allowed for that transaction, not the decimals on screen, that decides whether the value passes.
With radian per second = 10 rad/s, the result is 1.591549 rev/s.
Applies to: any numeric inputs. Method source: NIST SP 811 / BIPM SI, checked 2026-06-22.
The formula
rev/s = rad/s x 0.15915494309189535
Worked example
With radian per second = 10 rad/s:
- rev/s = rad/s x 0.15915494309189535
- revolution per second = 1.591549 rev/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 rev/s = rad/s x 0.15915494309189535; general information, not professional advice.
Frequently asked questions
What formula does this use?
rev/s = rad/s x 0.15915494309189535, 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.