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

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute = 57.29577951 Degree/minute

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

Decimals:

Certified Authority Value

57.29577951

°/min

From / Input

rad/min

Swap to Degree/minute to Radian/minute

To / Result

°/min

Quick Values:

Conversion Formula

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

rad/min × 57.29577951 = °/min

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

Common Radian/minute to Degree/minute Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/minute is equal to 57.29578 °/min (Degree/minute)

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

Degree/minute to Radian/minute: Reciprocal Summary

Rule: 1 Degree/minute is equal to 0.0174533 rad/min (Radian/minute)

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

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

Radian/minute References:

Traditional vinyl LP phonograph record at 33⅓ RPM 3.49 rad/min
Classic fairground Ferris wheel slow passenger rotation 1.2 rad/min

Degree/minute References:

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

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

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

How to Convert Radian/minute to Degree/minute

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

Direct Factor1 rad/min = 57.29578 °/min

Inverse Ratio1 °/min = 0.0174533 rad/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 rad/min = 0.0166667 radian per second (rad/s)

2. Target SI Bridge (k_target):1 °/min = 0.000290888 radian per second (rad/s)

Step-by-step substitution for Radian/minute → Degree/minute:V(°/min) = V(rad/min) × ( 0.0166667 / 0.000290888 ) = V(rad/min) × 57.29578

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

Worked Example

To convert 120 Radian/minute (rad/min) to Degree/minute (°/min): multiply 120 by 57.29578 to get 6875.493542 °/min. At an industrial engineering scale, 100 rad/min converts to 5729.577951 °/min.

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

Understanding Radian/minute and Degree/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/min

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rad/min at Passenger Car Engine (250 N·m) = 4.1667 W

Equals 0.004167 kW • 4.166667 × 10⁻⁶ MW • 0.005588 hp

SI Power

4.1667

Watts

Grid / Utility

0.004167

Kilowatts

Power Plant

4.166667 × 10⁻⁶

Megawatts

Mechanical Rating

0.005588

Horsepower (Mechanical)

Metric Horsepower

0.005665

Metric Horsepower (PS)

HVAC Thermal Rating

14.22

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/min × 0.01666667 = 0.01666667 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 = (0.01666667 rad/s) × (250 N·m) = 4.166667 W
4. Convert to Standard Engineering Units:
• W: 4.166667 × 1 = 4.1667 W (Watts) • kW: 4.166667 × 0.001 = 0.004167 kW (Kilowatts) • MW: 4.166667 × 1 × 10⁻⁶ = 4.166667 × 10⁻⁶ MW (Megawatts) • hp: 4.166667 × 0.001341 = 0.005588 hp (Horsepower (Mechanical)) • PS: 4.166667 × 0.00136 = 0.005665 PS (Metric Horsepower (PS)) • BTU/h: 4.166667 × 3.4121 = 14.22 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/minute (°/min) in 1 radian/minute (rad/min). To calculate larger amounts manually, simply multiply your total number of radians/minute by the conversion multiplier of 57.29577951.

The mathematical formula to convert radians/minute to degrees/minute is: [value] * 57.29577951 = degrees/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 degrees/minute back to radians/minute, you must divide your starting value by 57.29577951. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree/minute input field.

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

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