Degrees/hour to Revolutions/second Converter (°/h to rev/s)

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Live Conversion • ISO 80000-3:2019 Certified

1 Degree/hour = 7.71604938 × 10⁻⁷ Revolution/second

1 °/h = 7.716049 × 10⁻⁷ rev/s • 1 rev/s = 1,296,000 °/h

Decimals:

Certified Authority Value

0.00000077

rev/s

From / Input

°/h

Swap to Revolution/second to Degree/hour

To / Result

rev/s

Quick Values:

Conversion Formula

To convert Degree/hour to Revolution/second, multiply by 7.71604938 × 10⁻⁷

°/h × 7.71604938 × 10⁻⁷ = rev/s

Calculation: 1 °/h × 7.71604938 × 10⁻⁷ = 7.71604938 × 10⁻⁷ rev/s

Common Degree/hour to Revolution/second Calculations

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

Tap any row to calculate

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

Rule: 1 Degree/hour is equal to 7.716049 × 10⁻⁷ rev/s (Revolution/second)

Degree/hour to Revolution/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/h 7.716049 × 10⁻¹⁰ rev/s	7.716 × 10⁻¹⁰
0.01 °/h 7.716049 × 10⁻⁹ rev/s	7.716 × 10⁻⁹
0.1 °/h 7.716049 × 10⁻⁸ rev/s	7.716 × 10⁻⁸
0.5 °/h 3.858025 × 10⁻⁷ rev/s	3.858 × 10⁻⁷
1 °/h 7.716049 × 10⁻⁷ rev/s	7.716 × 10⁻⁷
2 °/h 1.54321 × 10⁻⁶ rev/s	1.543 × 10⁻⁶
5 °/h 3.858025 × 10⁻⁶ rev/s	3.858 × 10⁻⁶
10 °/h 7.716049 × 10⁻⁶ rev/s	7.716 × 10⁻⁶
20 °/h 1.54321 × 10⁻⁵ rev/s	1.543 × 10⁻⁵
25 °/h 1.929012 × 10⁻⁵ rev/s	1.929 × 10⁻⁵
50 °/h 3.858025 × 10⁻⁵ rev/s	3.858 × 10⁻⁵
100 °/h 7.716049 × 10⁻⁵ rev/s	7.716 × 10⁻⁵
250 °/h 0.000192901 rev/s	1.929 × 10⁻⁴
500 °/h 0.000385802 rev/s	3.858 × 10⁻⁴
1000 °/h 0.000771605 rev/s	7.716 × 10⁻⁴

Revolution/second to Degree/hour: Reciprocal Summary

Rule: 1 Revolution/second is equal to 1,296,000 °/h (Degree/hour)

Revolution/second to Degree/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/s 1296000 °/h	1.296 × 10⁶
5 rev/s 6480000 °/h	6.48 × 10⁶
10 rev/s 1.296 × 10⁷ °/h	1.296 × 10⁷
50 rev/s 6.48 × 10⁷ °/h	6.48 × 10⁷
100 rev/s 1.296 × 10⁸ °/h	1.296 × 10⁸

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

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

Revolution/second References:

Passenger car alternator rotor shaft speed at engine idle 30 rev/s
Commercial high-speed blender blade rotational speed 350 rev/s
High-speed air-bearing dental drill turbine maximum velocity 6500 rev/s

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

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

How to Convert Degree/hour to Revolution/second

Converting Degree/hour (°/h) to Revolution/second (rev/s) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Revolution/second is a broader physical scale than Degree/hour, converting from °/h to rev/s condenses the numerical figure. It takes 1296000 Degree/hour to equal a single Revolution/second (1 °/h = 7.716049 × 10⁻⁷ rev/s). To convert any quantity, multiply by 7.716049 × 10⁻⁷ (or divide by 1296000).

Direct Factor1 °/h = 7.716049 × 10⁻⁷ rev/s

Inverse Ratio1 rev/s = 1296000 °/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 °/h = 4.848137 × 10⁻⁶ radian per second (rad/s)

2. Target SI Bridge (k_target):1 rev/s = 6.283185 radian per second (rad/s)

Step-by-step substitution for Degree/hour → Revolution/second:V(rev/s) = V(°/h) × ( 4.848137 × 10⁻⁶ / 6.283185 ) = V(°/h) × 7.716049 × 10⁻⁷

Mathematical FormulaValue in Revolution/second = Value in Degree/hour × 7.71604938 × 10⁻⁷Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Degree/hour (°/h) produces 9.259259 × 10⁻⁵ Revolution/second (rev/s). In heavy-duty utility and industrial workloads, 240 °/h equals 0.000185185 rev/s.

Inverse check: 1 rev/s = 1296000 °/h.

Understanding Degree/hour and Revolution/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): °/h

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 °/h at Passenger Car Engine (250 N·m) = 0.001212 W

Equals 1.212 × 10⁻⁶ kW • 1.212034 × 10⁻⁹ MW • 1.6254 × 10⁻⁶ hp

SI Power

0.001212

Watts

Grid / Utility

1.212 × 10⁻⁶

Kilowatts

Power Plant

1.212034 × 10⁻⁹

Megawatts

Mechanical Rating

1.6254 × 10⁻⁶

Horsepower (Mechanical)

Metric Horsepower

1.6479 × 10⁻⁶

Metric Horsepower (PS)

HVAC Thermal Rating

0.0041

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 °/h × 4.84813681 × 10⁻⁶ = 4.84813681 × 10⁻⁶ 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 = (4.84813681 × 10⁻⁶ rad/s) × (250 N·m) = 0.00121203 W
4. Convert to Standard Engineering Units:
• W: 0.00121203 × 1 = 0.001212 W (Watts) • kW: 0.00121203 × 0.001 = 1.212 × 10⁻⁶ kW (Kilowatts) • MW: 0.00121203 × 1 × 10⁻⁶ = 1.212034 × 10⁻⁹ MW (Megawatts) • hp: 0.00121203 × 0.001341 = 1.6254 × 10⁻⁶ hp (Horsepower (Mechanical)) • PS: 0.00121203 × 0.00136 = 1.6479 × 10⁻⁶ PS (Metric Horsepower (PS)) • BTU/h: 0.00121203 × 3.4121 = 0.0041 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 7.71604938 × 10⁻⁷ revolutions/second (rev/s) in 1 degree/hour (°/h). To calculate larger amounts manually, simply multiply your total number of degrees/hour by the conversion multiplier of 7.71604938 × 10⁻⁷.

The mathematical formula to convert degrees/hour to revolutions/second is: [value] * 7.71604938 × 10⁻⁷ = revolutions/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 revolutions/second back to degrees/hour, you must divide your starting value by 7.71604938 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/second input field.

1 Revolution/second is larger than 1 Degree/hour. Specifically, 1 Degree/hour equals 7.71604938 × 10⁻⁷ revolutions/second, meaning 1 Revolution/second is 1296000 times larger than 1 Degree/hour (a difference of 6.11 orders of magnitude). Expressing measurements in degrees/hour requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Degree/hour converts to 7.71604938 × 10⁻⁷ revolutions/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.