Revolutions/hour to Radians/second Converter (rev/h to rad/s)

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Live Conversion • ISO 80000-3:2019 Certified

1 Revolution/hour = 0.0017453293 Radian/second

1 rev/h = 0.00174533 rad/s • 1 rad/s = 572.957795 rev/h

Decimals:

Certified Authority Value

0.00174533

rad/s

From / Input

rev/h

Swap to Radian/second to Revolution/hour

To / Result

rad/s

Quick Values:

Conversion Formula

To convert Revolution/hour to Radian/second, multiply by 0.0017453293

rev/h × 0.0017453293 = rad/s

Calculation: 1 rev/h × 0.0017453293 = 0.0017453293 rad/s

Common Revolution/hour to Radian/second Calculations

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

Tap any row to calculate

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

Rule: 1 Revolution/hour is equal to 0.00174533 rad/s (Radian/second)

Revolution/hour to Radian/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rev/h 1.745329 × 10⁻⁶ rad/s	1.745 × 10⁻⁶
0.01 rev/h 1.745329 × 10⁻⁵ rad/s	1.745 × 10⁻⁵
0.1 rev/h 0.000174533 rad/s	1.745 × 10⁻⁴
0.5 rev/h 0.000872665 rad/s	8.727 × 10⁻⁴
1 rev/h 0.00174533 rad/s	1.745 × 10⁻³
2 rev/h 0.00349066 rad/s	3.491 × 10⁻³
5 rev/h 0.00872665 rad/s	8.727 × 10⁻³
10 rev/h 0.0174533 rad/s	1.745 × 10⁻²
20 rev/h 0.0349066 rad/s	3.491 × 10⁻²
25 rev/h 0.0436332 rad/s	4.363 × 10⁻²
50 rev/h 0.0872665 rad/s	8.727 × 10⁻²
100 rev/h 0.174533 rad/s	1.745 × 10⁻¹
250 rev/h 0.436332 rad/s	4.363 × 10⁻¹
500 rev/h 0.872665 rad/s	8.727 × 10⁻¹
1000 rev/h 1.745329 rad/s	1.745 × 10⁰

Radian/second to Revolution/hour: Reciprocal Summary

Rule: 1 Radian/second is equal to 572.957795 rev/h (Revolution/hour)

Radian/second to Revolution/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/s 572.957795 rev/h	5.73 × 10²
5 rad/s 2864.788976 rev/h	2.865 × 10³
10 rad/s 5729.577951 rev/h	5.73 × 10³
50 rad/s 28647.889757 rev/h	2.865 × 10⁴
100 rad/s 57295.779513 rev/h	5.73 × 10⁴

View Complete 15-Row Radian/second to Revolution/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 Revolution/hour (rev/h) and Radian/second (rad/s):

Revolution/hour References:

Analog clock minute hand complete revolutions per hour 1 rev/h
London Eye passenger observation wheel rotation rate 2 rev/h

Radian/second References:

Planet Earth rotational angular velocity on its polar axis 7.27E-5 rad/s
Four-pole AC induction electric motor synchronous speed at 60Hz 188.5 rad/s

Tap any benchmark above to automatically calculate its exact equivalent in Radian/second.

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

How to Convert Revolution/hour to Radian/second

Converting Revolution/hour (rev/h) to Radian/second (rad/s) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Radian/second is a broader physical scale than Revolution/hour, converting from rev/h to rad/s condenses the numerical figure. It takes 572.957795 Revolution/hour to equal a single Radian/second (1 rev/h = 0.00174533 rad/s). To convert any quantity, multiply by 0.00174533 (or divide by 572.957795).

Direct Factor1 rev/h = 0.00174533 rad/s

Inverse Ratio1 rad/s = 572.957795 rev/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 rev/h = 0.00174533 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rad/s = 1 radian per second (rad/s)

Step-by-step substitution for Revolution/hour → Radian/second:V(rad/s) = V(rev/h) × ( 0.00174533 / 1 ) = V(rev/h) × 0.00174533

Mathematical FormulaValue in Radian/second = Value in Revolution/hour × 0.0017453293Direct computational formula applied for standard conversion.

Worked Example

To convert 2.5 Revolution/hour (rev/h) to Radian/second (rad/s): multiply 2.5 by 0.00174533 to get 0.00436332 rad/s. At an industrial engineering scale, 1000 rev/h converts to 1.745329 rad/s.

Inverse check: 1 rad/s = 572.957795 rev/h.

Understanding Revolution/hour and Radian/second

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): rev/h

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rev/h at Passenger Car Engine (250 N·m) = 0.4363 W

Equals 0.0004363 kW • 4.363323 × 10⁻⁷ MW • 0.0005851 hp

SI Power

0.4363

Watts

Grid / Utility

0.0004363

Kilowatts

Power Plant

4.363323 × 10⁻⁷

Megawatts

Mechanical Rating

0.0005851

Horsepower (Mechanical)

Metric Horsepower

0.0005932

Metric Horsepower (PS)

HVAC Thermal Rating

1.49

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rev/h × 0.00174533 = 0.00174533 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 = (0.00174533 rad/s) × (250 N·m) = 0.436332 W
4. Convert to Standard Engineering Units:
• W: 0.436332 × 1 = 0.4363 W (Watts) • kW: 0.436332 × 0.001 = 0.0004363 kW (Kilowatts) • MW: 0.436332 × 1 × 10⁻⁶ = 4.363323 × 10⁻⁷ MW (Megawatts) • hp: 0.436332 × 0.001341 = 0.0005851 hp (Horsepower (Mechanical)) • PS: 0.436332 × 0.00136 = 0.0005932 PS (Metric Horsepower (PS)) • BTU/h: 0.436332 × 3.4121 = 1.49 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 0.0017453293 radians/second (rad/s) in 1 revolution/hour (rev/h). To calculate larger amounts manually, simply multiply your total number of revolutions/hour by the conversion multiplier of 0.0017453293.

The mathematical formula to convert revolutions/hour to radians/second is: [value] * 0.0017453293 = radians/second. 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 radians/second back to revolutions/hour, you must divide your starting value by 0.0017453293. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/second input field.

1 Radian/second is larger than 1 Revolution/hour. Specifically, 1 Revolution/hour equals 0.0017453293 radians/second, meaning 1 Radian/second is 572.9578 times larger than 1 Revolution/hour (a difference of 2.76 orders of magnitude). Expressing measurements in revolutions/hour requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Revolution/hour converts to 0.0017453293 radians/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.