Convert Radians per Hour to Gradians per Second
Radian per Hour (rad/h) to Gradian per Second (grad/s) unit conversion — enter any value below to get an instant result, or use the table for common values.
Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.
Result
1 rad/h = 0.017683884 grad/s
1 Radian per Hour = 0.017683884 Gradians per Second
1 Gradian per Second = 56.548663 Radians per Hour
1 rad/h in every supported unit
Conversion chart: Radian per Hour to Gradians per Second
Conversion table
| Radian per Hour (rad/h) | Gradian per Second (grad/s) |
|---|---|
| 0.01 rad/h | 0.00017683884 grad/s |
| 0.1 rad/h | 0.0017683884 grad/s |
| 1 rad/h | 0.017683884 grad/s |
| 2 rad/h | 0.035367768 grad/s |
| 3 rad/h | 0.053051652 grad/s |
| 5 rad/h | 0.08841942 grad/s |
| 10 rad/h | 0.17683884 grad/s |
| 20 rad/h | 0.35367768 grad/s |
| 50 rad/h | 0.8841942 grad/s |
| 100 rad/h | 1.7683884 grad/s |
| 1000 rad/h | 17.683884 grad/s |
Radian per Hour (rad/h)
Definition: An even further scaled-down unit of angular velocity, measuring radians swept per hour — suited to very slow rotational processes.
History: Constructed the same way as radian per minute, simply substituting hours for the time base, for describing extremely gradual angular motion.
Current use: Used in geology, astronomy, and some structural monitoring contexts to describe extremely slow rotational drift, such as tectonic plate rotation or long-term structural torsion.
Gradian per Second (grad/s)
Definition: An angular velocity unit based on the gradian (also called the gon), where a full circle is divided into 400 gradians instead of 360 degrees or 2π radians.
History: The gradian was introduced during the French metrication push of the late 18th century as a decimal-friendly alternative to the degree, so a right angle equals a clean 100 gradians instead of 90 degrees.
Current use: Still used today in surveying and geodesy in parts of Europe, where gradian-based angular measurements simplify certain trigonometric field calculations.
Supported Units
| Unit | Symbol | In Radians per Second |
|---|---|---|
| Radian per Second | rad/s | 1 rad/s |
| Radian per Minute | rad/min | 0.016666667 rad/s |
| Radian per Hour | rad/h | 0.0002777778 rad/s |
| Degree per Second | °/s | 0.017453292 rad/s |
| Degree per Minute | °/min | 0.0002908882 rad/s |
| Degree per Hour | °/h | 4.8481E-06 rad/s |
| Revolution per Second | rps | 6.2831853 rad/s |
| Revolution per Minute | rpm | 0.10471976 rad/s |
| Revolution per Hour | rph | 0.0017453293 rad/s |
| Gradian per Second | grad/s | 0.015707963 rad/s |
About These Parameters
- Value
- The rotational speed you want to convert, expressed in the "From" unit. Accepts decimals.
- From Unit
- The angular velocity unit your input value is currently measured in — for example, RPM on a motor nameplate or degrees per second on a sensor datasheet.
- To Unit
- The angular velocity unit you want the result converted into. Use the swap button to flip From and To instantly.
How Angular Velocity Conversion Works
The Formula
Every unit here is defined by a fixed multiplier relative to the radian per second. To convert a value from one unit to another:
result = value × (factor of "From" unit ÷ factor of "To" unit)
For Radian per Hour → Gradian per Second: multiply by 0.017683884. For example, 1 rad/h × 0.017683884 = 0.017683884 grad/s.
Radians, Degrees, and Revolutions
Angular velocity can be measured in three fundamentally different angle units. The radian is the mathematically natural unit — one full turn equals 2π radians — and is what appears directly in physics formulas like v = ωr, linking angular speed to linear speed through a radius. The degree divides a full turn into 360 familiar parts and is more intuitive for humans, which is why robotics and sensor datasheets favor it. The revolution simply counts whole turns, making it the natural choice for anything with a spinning shaft — engines, motors, hard drives, turbines — since RPM (revolutions per minute) is the number a tachometer actually displays.
From Angular Velocity to Linear Speed
Angular velocity and linear speed are related through the radius of rotation by v = ωr, where ω is angular velocity in radians per second and r is the distance from the rotation axis. This is why a point near the center of a spinning wheel moves much slower than a point on its rim, even though both share the same angular velocity — the outer point simply has a larger radius to sweep through. This relationship is fundamental in mechanical engineering for converting a motor's rotational speed into the linear speed of whatever it drives, such as a conveyor belt or vehicle wheel.
Example
1 rad/h equals 0.017683884 grad/s. For scale, a typical car engine idling at around 800 RPM is spinning at roughly 301592.87 rad/h, while a washing machine's spin cycle at around 1,200 RPM works out to about 452389.31 rad/h.
Frequently Asked Questions
How many Gradians per Second are in 1 Radian per Hour?
1 Radian per Hour (rad/h) equals exactly 0.017683884 Gradians per Second (grad/s).
Why does physics use radians per second instead of RPM?
Radians are the angle unit that makes calculus-based physics formulas work cleanly — derivatives and integrals of trigonometric functions only simplify nicely when angles are in radians. RPM is easier for humans to picture (whole turns per minute), so engineering datasheets and tachometers use it, but the underlying physics equations almost always convert back to radians per second first.
How do I convert RPM to radians per second?
Multiply the RPM value by 2π and divide by 60, since each revolution is 2π radians and there are 60 seconds in a minute. This converter applies that exact factor (0.1047197551) automatically, so entering a value in revolutions per minute and selecting radians per second as the target gives the precise result instantly.
How accurate are these conversions?
Every conversion factor used here is derived from the exact mathematical relationships between radians, degrees, and revolutions (e.g. 1 revolution = 2π radians = 360 degrees exactly) — results are limited only by floating-point display precision, not by rounded conversion constants.