Radians/hour to Revolutions/minute Converter (rad/h to rpm)

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/hour = 0.0026525824 Revolution/minute

1 rad/h = 0.00265258 rpm • 1 rpm = 376.991118 rad/h

Decimals:

Certified Authority Value

0.00265258

rpm

From / Input

rad/h

Swap to Revolution/minute to Radian/hour

To / Result

rpm

Quick Values:

Conversion Formula

To convert Radian/hour to Revolution/minute, multiply by 0.0026525824

rad/h × 0.0026525824 = rpm

Calculation: 1 rad/h × 0.0026525824 = 0.0026525824 rpm

Common Radian/hour to Revolution/minute Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/hour is equal to 0.00265258 rpm (Revolution/minute)

Radian/hour to Revolution/minute Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/h 2.652582 × 10⁻⁶ rpm	2.653 × 10⁻⁶
0.01 rad/h 2.652582 × 10⁻⁵ rpm	2.653 × 10⁻⁵
0.1 rad/h 0.000265258 rpm	2.653 × 10⁻⁴
0.5 rad/h 0.00132629 rpm	1.326 × 10⁻³
1 rad/h 0.00265258 rpm	2.653 × 10⁻³
2 rad/h 0.00530516 rpm	5.305 × 10⁻³
5 rad/h 0.0132629 rpm	1.326 × 10⁻²
10 rad/h 0.0265258 rpm	2.653 × 10⁻²
20 rad/h 0.0530516 rpm	5.305 × 10⁻²
25 rad/h 0.0663146 rpm	6.631 × 10⁻²
50 rad/h 0.132629 rpm	1.326 × 10⁻¹
100 rad/h 0.265258 rpm	2.653 × 10⁻¹
250 rad/h 0.663146 rpm	6.631 × 10⁻¹
500 rad/h 1.326291 rpm	1.326 × 10⁰
1000 rad/h 2.652582 rpm	2.653 × 10⁰

Revolution/minute to Radian/hour: Reciprocal Summary

Rule: 1 Revolution/minute is equal to 376.991118 rad/h (Radian/hour)

Revolution/minute to Radian/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rpm 376.991118 rad/h	3.77 × 10²
5 rpm 1884.955592 rad/h	1.885 × 10³
10 rpm 3769.911184 rad/h	3.77 × 10³
50 rpm 18849.555922 rad/h	1.885 × 10⁴
100 rpm 37699.111843 rad/h	3.77 × 10⁴

View Complete 15-Row Revolution/minute 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 Revolution/minute (rpm):

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

Revolution/minute References:

Standard 12-inch vinyl LP record phonograph playback turntable speed 33.3 rpm
Standard 7-inch vinyl single record phonograph playback speed 45 rpm
Passenger car gasoline engine steady idling rotation speed 750 rpm
Desktop computer high-airflow cooling fan maximum speed 2000 rpm
High-speed dental clinic air turbine drill rotation speed 350000 rpm

Tap any benchmark above to automatically calculate its exact equivalent in Revolution/minute.

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

How to Convert Radian/hour to Revolution/minute

Converting Radian/hour (rad/h) to Revolution/minute (rpm) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Revolution/minute is a broader physical scale than Radian/hour, converting from rad/h to rpm condenses the numerical figure. It takes 376.991118 Radian/hour to equal a single Revolution/minute (1 rad/h = 0.00265258 rpm). To convert any quantity, multiply by 0.00265258 (or divide by 376.991118).

Direct Factor1 rad/h = 0.00265258 rpm

Inverse Ratio1 rpm = 376.991118 rad/h

Conversion ScaleDirect Proportional Magnitude Compression

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 rpm = 0.10472 radian per second (rad/s)

Step-by-step substitution for Radian/hour → Revolution/minute:V(rpm) = V(rad/h) × ( 0.000277778 / 0.10472 ) = V(rad/h) × 0.00265258

Mathematical FormulaValue in Revolution/minute = Value in Radian/hour × 0.0026525824Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Radian/hour (rad/h) produces 0.31831 Revolution/minute (rpm). In heavy-duty utility and industrial workloads, 480 rad/h equals 1.27324 rpm.

Inverse check: 1 rpm = 376.991118 rad/h.

Understanding Radian/hour and Revolution/minute

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 0.0026525824 revolutions/minute (rpm) in 1 radian/hour (rad/h). To calculate larger amounts manually, simply multiply your total number of radians/hour by the conversion multiplier of 0.0026525824.

The mathematical formula to convert radians/hour to revolutions/minute is: [value] * 0.0026525824 = revolutions/minute. 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 revolutions/minute back to radians/hour, you must divide your starting value by 0.0026525824. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/minute input field.

1 Revolution/minute is larger than 1 Radian/hour. Specifically, 1 Radian/hour equals 0.0026525824 revolutions/minute, meaning 1 Revolution/minute is 376.9911 times larger than 1 Radian/hour (a difference of 2.58 orders of magnitude). Expressing measurements in radians/hour requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Radian/hour converts to 0.0026525824 revolutions/minute. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.