Radians/hour to Degrees/hour Converter (rad/h to °/h)

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/hour = 57.29577951 Degree/hour

1 rad/h = 57.29578 °/h • 1 °/h = 0.0174533 rad/h

Decimals:

Certified Authority Value

57.29577951

°/h

From / Input

rad/h

Swap to Degree/hour to Radian/hour

To / Result

°/h

Quick Values:

Conversion Formula

To convert Radian/hour to Degree/hour, multiply by 57.29577951

rad/h × 57.29577951 = °/h

Calculation: 1 rad/h × 57.29577951 = 57.29577951 °/h

Common Radian/hour to Degree/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Radian/hour (rad/h) and Degree/hour (°/h).

Tap any row to calculate

Radian/hour to Degree/hour: Primary Direct Table (15 Steps)

Rule: 1 Radian/hour is equal to 57.29578 °/h (Degree/hour)

Radian/hour to Degree/hour Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/h 0.0572958 °/h	5.73 × 10⁻²
0.01 rad/h 0.572958 °/h	5.73 × 10⁻¹
0.1 rad/h 5.729578 °/h	5.73 × 10⁰
0.5 rad/h 28.64789 °/h	2.865 × 10¹
1 rad/h 57.29578 °/h	5.73 × 10¹
2 rad/h 114.591559 °/h	1.146 × 10²
5 rad/h 286.478898 °/h	2.865 × 10²
10 rad/h 572.957795 °/h	5.73 × 10²
20 rad/h 1145.91559 °/h	1.146 × 10³
25 rad/h 1432.394488 °/h	1.432 × 10³
50 rad/h 2864.788976 °/h	2.865 × 10³
100 rad/h 5729.577951 °/h	5.73 × 10³
250 rad/h 14323.944878 °/h	1.432 × 10⁴
500 rad/h 28647.889757 °/h	2.865 × 10⁴
1000 rad/h 57295.779513 °/h	5.73 × 10⁴

Degree/hour to Radian/hour: Reciprocal Summary

Rule: 1 Degree/hour is equal to 0.0174533 rad/h (Radian/hour)

Degree/hour to Radian/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 °/h 0.0174533 rad/h	1.745 × 10⁻²
5 °/h 0.0872665 rad/h	8.727 × 10⁻²
10 °/h 0.174533 rad/h	1.745 × 10⁻¹
50 °/h 0.872665 rad/h	8.727 × 10⁻¹
100 °/h 1.745329 rad/h	1.745 × 10⁰

View Complete 15-Row Degree/hour to Radian/hour Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Radian/hour (rad/h) and Degree/hour (°/h):

Radian/hour References:

Minute hand on traditional analog clock rotational velocity 6.28 rad/h
Hour hand on traditional analog clock rotational velocity 0.524 rad/h
Earth diurnal axial rotation angular rate (15 degrees/hour) 0.262 rad/h

Degree/hour References:

Earth rotational speed relative to celestial stars 15 °/h
Minute hand rotational speed on traditional wall clock 360 °/h
Hour hand rotational speed on standard 12-hour clock 30 °/h

Tap any benchmark above to automatically calculate its exact equivalent in Degree/hour.

ISQ Dimension: [T⁻¹] Coherent SI Unit: radian per second (rad/s) Classical Mechanics & Dimensional Metrology

How to Convert Radian/hour to Degree/hour

Converting Radian/hour (rad/h) to Degree/hour (°/h) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Radian/hour represents a larger magnitude than Degree/hour, converting from rad/h to °/h expands the numerical figure. Exactly 1 Radian/hour encompasses 57.29578 Degree/hour. To convert any quantity, multiply the value in Radian/hour by 57.29578.

Direct Factor1 rad/h = 57.29578 °/h

Inverse Ratio1 °/h = 0.0174533 rad/h

Conversion ScaleDirect Proportional Magnitude Expansion

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (radian per second (rad/s)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 rad/h = 0.000277778 radian per second (rad/s)

2. Target SI Bridge (k_target):1 °/h = 4.848137 × 10⁻⁶ radian per second (rad/s)

Step-by-step substitution for Radian/hour → Degree/hour:V(°/h) = V(rad/h) × ( 0.000277778 / 4.848137 × 10⁻⁶ ) = V(rad/h) × 57.29578

Mathematical FormulaValue in Degree/hour = Value in Radian/hour × 57.29577951Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 36 rad/h, applying the conversion factor yields exactly 2062.648062 °/h. At larger operational scale, 2500 Radian/hour corresponds to 143239.448783 °/h.

Inverse check: 1 °/h = 0.0174533 rad/h.

Understanding Radian/hour and Degree/hour

Domain Metrology & Engineering Applications

Governing Law & Equation

Rotational Kinematics Relation (ω = dθ/dt)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using optical non-contact tachometers, stroboscopes, and resolver feedback transducers.

Primary Industry Sectors

Applied across electric motor drives, wind turbine generator monitoring, centrifuge engineering, and automotive drivetrains under international metrology standard ISO 80000-3:2019.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-3:2019 and the BIPM SI Brochure (9th Edition). Governed by Rotational Kinematics Relation (ω = dθ/dt) under ISO 80000 dimensional vector [T⁻¹].

Multi-Variable Engineering Bridge Drivetrain Engineering & Shaft Power

Angular Velocity to Mechanical Power Bridge (Watts • Kilowatts • Horsepower)

Calculate total shaft power output P = τ × ω across standard torque load ratings, bridging rotational velocity [T⁻¹] with power [M L² T⁻³].

Input Rotational Angular Velocity (ω): rad/h

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rad/h at Passenger Car Engine (250 N·m) = 0.06944 W

Equals 6.9444 × 10⁻⁵ kW • 6.944444 × 10⁻⁸ MW • 9.3127 × 10⁻⁵ hp

SI Power

0.06944

Watts

Grid / Utility

6.9444 × 10⁻⁵

Kilowatts

Power Plant

6.944444 × 10⁻⁸

Megawatts

Mechanical Rating

9.3127 × 10⁻⁵

Horsepower (Mechanical)

Metric Horsepower

9.4418 × 10⁻⁵

Metric Horsepower (PS)

HVAC Thermal Rating

0.24

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rad/h × 0.00027778 = 0.00027778 rad/s
2. Apply Engineering Parameter (τ):
Selected condition: Passenger Car Engine (250 N·m) at τ = 250 N·m
3. Execute Governing Physical Law in SI Units:
P = τ × ω = (0.00027778 rad/s) × (250 N·m) = 0.0694444 W
4. Convert to Standard Engineering Units:
• W: 0.0694444 × 1 = 0.06944 W (Watts) • kW: 0.0694444 × 0.001 = 6.9444 × 10⁻⁵ kW (Kilowatts) • MW: 0.0694444 × 1 × 10⁻⁶ = 6.944444 × 10⁻⁸ MW (Megawatts) • hp: 0.0694444 × 0.001341 = 9.3127 × 10⁻⁵ hp (Horsepower (Mechanical)) • PS: 0.0694444 × 0.00136 = 9.4418 × 10⁻⁵ PS (Metric Horsepower (PS)) • BTU/h: 0.0694444 × 3.4121 = 0.24 BTU/h (BTU per Hour)

Explore Full Torque Converter →

Engineering Substance / Operating Standard	Parameter Value (N·m)	Reference State / Condition	Typical Industrial & Engineering Application
Automation Servo Motor (2 N·m)	`2`	2.0 N·m	Packaging & robotics joint servo
Passenger Car Engine (250 N·m)	`250`	250.0 N·m	Typical 2.0L turbo automobile engine
Commercial Diesel Semi Truck (1,200 N·m)	`1200`	1,200 N·m	Heavy freight turbo diesel engine
Marine Propulsion Shaft (25,000 N·m)	`25000`	25,000 N·m	Container vessel direct drive shaft

Frequently Asked Questions

There are exactly 57.29577951 degrees/hour (°/h) in 1 radian/hour (rad/h). To calculate larger amounts manually, simply multiply your total number of radians/hour by the conversion multiplier of 57.29577951.

The mathematical formula to convert radians/hour to degrees/hour is: [value] * 57.29577951 = degrees/hour. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from degrees/hour back to radians/hour, you must divide your starting value by 57.29577951. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree/hour input field.

1 Radian/hour is larger than 1 Degree/hour. Specifically, 1 Radian/hour equals exactly 57.29577951 degrees/hour, making it 57.2958 times larger (a difference of 1.76 orders of magnitude). Therefore, quantities expressed in degrees/hour require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Radian/hour converts to 57.29577951 degrees/hour. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.