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

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Live Conversion • ISO 80000-3:2019 Certified

1 Degree/minute = 1.04719755 Radian/hour

1 °/min = 1.047198 rad/h • 1 rad/h = 0.95493 °/min

Decimals:

Certified Authority Value

1.04719755

rad/h

From / Input

°/min

Swap to Radian/hour to Degree/minute

To / Result

rad/h

Quick Values:

Conversion Formula

To convert Degree/minute to Radian/hour, multiply by 1.04719755

°/min × 1.04719755 = rad/h

Calculation: 1 °/min × 1.04719755 = 1.04719755 rad/h

Common Degree/minute to Radian/hour Calculations

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

Tap any row to calculate

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

Rule: 1 Degree/minute is equal to 1.047198 rad/h (Radian/hour)

Degree/minute to Radian/hour Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/min 0.0010472 rad/h	1.047 × 10⁻³
0.01 °/min 0.010472 rad/h	1.047 × 10⁻²
0.1 °/min 0.10472 rad/h	1.047 × 10⁻¹
0.5 °/min 0.523599 rad/h	5.236 × 10⁻¹
1 °/min 1.047198 rad/h	1.047 × 10⁰
2 °/min 2.094395 rad/h	2.094 × 10⁰
5 °/min 5.235988 rad/h	5.236 × 10⁰
10 °/min 10.471976 rad/h	1.047 × 10¹
20 °/min 20.943951 rad/h	2.094 × 10¹
25 °/min 26.179939 rad/h	2.618 × 10¹
50 °/min 52.359878 rad/h	5.236 × 10¹
100 °/min 104.719755 rad/h	1.047 × 10²
250 °/min 261.799388 rad/h	2.618 × 10²
500 °/min 523.598776 rad/h	5.236 × 10²
1000 °/min 1047.197551 rad/h	1.047 × 10³

Radian/hour to Degree/minute: Reciprocal Summary

Rule: 1 Radian/hour is equal to 0.95493 °/min (Degree/minute)

Radian/hour to Degree/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/h 0.95493 °/min	9.549 × 10⁻¹
5 rad/h 4.774648 °/min	4.775 × 10⁰
10 rad/h 9.549297 °/min	9.549 × 10⁰
50 rad/h 47.746483 °/min	4.775 × 10¹
100 rad/h 95.492966 °/min	9.549 × 10¹

View Complete 15-Row Radian/hour to Degree/minute 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/minute (°/min) and Radian/hour (rad/h):

Degree/minute References:

Second hand speed on standard mechanical sweep clock 360 °/min
Passenger observation wheel scenic rotation speed 72 °/min

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

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

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

How to Convert Degree/minute to Radian/hour

Converting Degree/minute (°/min) to Radian/hour (rad/h) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Degree/minute represents a larger magnitude than Radian/hour, converting from °/min to rad/h expands the numerical figure. Exactly 1 Degree/minute encompasses 1.047198 Radian/hour. To convert any quantity, multiply the value in Degree/minute by 1.047198.

Direct Factor1 °/min = 1.047198 rad/h

Inverse Ratio1 rad/h = 0.95493 °/min

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 °/min = 0.000290888 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rad/h = 0.000277778 radian per second (rad/s)

Step-by-step substitution for Degree/minute → Radian/hour:V(rad/h) = V(°/min) × ( 0.000290888 / 0.000277778 ) = V(°/min) × 1.047198

Mathematical FormulaValue in Radian/hour = Value in Degree/minute × 1.04719755Direct computational formula applied for standard conversion.

Worked Example

To convert 120 Degree/minute (°/min) to Radian/hour (rad/h): multiply 120 by 1.047198 to get 125.663706 rad/h. At an industrial engineering scale, 100 °/min converts to 104.719755 rad/h.

Inverse check: 1 rad/h = 0.95493 °/min.

Understanding Degree/minute and Radian/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): °/min

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 °/min at Passenger Car Engine (250 N·m) = 0.07272 W

Equals 7.2722 × 10⁻⁵ kW • 7.272205 × 10⁻⁸ MW • 9.7522 × 10⁻⁵ hp

SI Power

0.07272

Watts

Grid / Utility

7.2722 × 10⁻⁵

Kilowatts

Power Plant

7.272205 × 10⁻⁸

Megawatts

Mechanical Rating

9.7522 × 10⁻⁵

Horsepower (Mechanical)

Metric Horsepower

9.8874 × 10⁻⁵

Metric Horsepower (PS)

HVAC Thermal Rating

0.25

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 °/min × 0.00029089 = 0.00029089 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 = (0.00029089 rad/s) × (250 N·m) = 0.0727221 W
4. Convert to Standard Engineering Units:
• W: 0.0727221 × 1 = 0.07272 W (Watts) • kW: 0.0727221 × 0.001 = 7.2722 × 10⁻⁵ kW (Kilowatts) • MW: 0.0727221 × 1 × 10⁻⁶ = 7.272205 × 10⁻⁸ MW (Megawatts) • hp: 0.0727221 × 0.001341 = 9.7522 × 10⁻⁵ hp (Horsepower (Mechanical)) • PS: 0.0727221 × 0.00136 = 9.8874 × 10⁻⁵ PS (Metric Horsepower (PS)) • BTU/h: 0.0727221 × 3.4121 = 0.25 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 1.04719755 radians/hour (rad/h) in 1 degree/minute (°/min). To calculate larger amounts manually, simply multiply your total number of degrees/minute by the conversion multiplier of 1.04719755.

The mathematical formula to convert degrees/minute to radians/hour is: [value] * 1.04719755 = radians/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 radians/hour back to degrees/minute, you must divide your starting value by 1.04719755. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/hour input field.

1 Degree/minute is larger than 1 Radian/hour. Specifically, 1 Degree/minute equals exactly 1.04719755 radians/hour, making it 1.0472 times larger (a difference of 0.02 orders of magnitude). Therefore, quantities expressed in radians/hour require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Degree/minute converts to 1.04719755 radians/hour. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.