Radian/minute to Degree/second (rad/min to °/s) Calculator & Formula

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute = 0.95492966 Degree/second

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

Decimals:

Certified Authority Value

0.95492966

°/s

From / Input

rad/min

Swap to Degree/second to Radian/minute

To / Result

°/s

Quick Values:

Conversion Formula

To convert Radian/minute to Degree/second, multiply by 0.95492966

rad/min × 0.95492966 = °/s

Calculation: 1 rad/min × 0.95492966 = 0.95492966 °/s

Common Radian/minute to Degree/second Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/minute is equal to 0.95493 °/s (Degree/second)

Radian/minute to Degree/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/min 0.00095493 °/s	9.549 × 10⁻⁴
0.01 rad/min 0.0095493 °/s	9.549 × 10⁻³
0.1 rad/min 0.095493 °/s	9.549 × 10⁻²
0.5 rad/min 0.477465 °/s	4.775 × 10⁻¹
1 rad/min 0.95493 °/s	9.549 × 10⁻¹
2 rad/min 1.909859 °/s	1.91 × 10⁰
5 rad/min 4.774648 °/s	4.775 × 10⁰
10 rad/min 9.549297 °/s	9.549 × 10⁰
20 rad/min 19.098593 °/s	1.91 × 10¹
25 rad/min 23.873241 °/s	2.387 × 10¹
50 rad/min 47.746483 °/s	4.775 × 10¹
100 rad/min 95.492966 °/s	9.549 × 10¹
250 rad/min 238.732415 °/s	2.387 × 10²
500 rad/min 477.464829 °/s	4.775 × 10²
1000 rad/min 954.929659 °/s	9.549 × 10²

Degree/second to Radian/minute: Reciprocal Summary

Rule: 1 Degree/second is equal to 1.047198 rad/min (Radian/minute)

Degree/second to Radian/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 °/s 1.047198 rad/min	1.047 × 10⁰
5 °/s 5.235988 rad/min	5.236 × 10⁰
10 °/s 10.471976 rad/min	1.047 × 10¹
50 °/s 52.359878 rad/min	5.236 × 10¹
100 °/s 104.719755 rad/min	1.047 × 10²

View Complete 15-Row Degree/second 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/second (°/s):

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/second References:

Second hand movement rate on standard analog clock 6 °/s
Human smooth pursuit eye tracking maximum visual velocity 30 °/s
Aerobatic competition stunt airplane maximum roll rate 360 °/s

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

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

How to Convert Radian/minute to Degree/second

Converting Radian/minute (rad/min) to Degree/second (°/s) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Degree/second is a broader physical scale than Radian/minute, converting from rad/min to °/s condenses the numerical figure. It takes 1.047198 Radian/minute to equal a single Degree/second (1 rad/min = 0.95493 °/s). To convert any quantity, multiply by 0.95493 (or divide by 1.047198).

Direct Factor1 rad/min = 0.95493 °/s

Inverse Ratio1 °/s = 1.047198 rad/min

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/min = 0.0166667 radian per second (rad/s)

2. Target SI Bridge (k_target):1 °/s = 0.0174533 radian per second (rad/s)

Step-by-step substitution for Radian/minute → Degree/second:V(°/s) = V(rad/min) × ( 0.0166667 / 0.0174533 ) = V(rad/min) × 0.95493

Mathematical FormulaValue in Degree/second = Value in Radian/minute × 0.95492966Direct computational formula applied for standard conversion.

Worked Example

Converting 250 rad/min yields an exact output of 238.732415 °/s in Degree/second. Under higher industrial throughput, 5000 rad/min translates to 4774.648293 °/s.

Inverse check: 1 °/s = 1.047198 rad/min.

Understanding Radian/minute and Degree/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): 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 0.95492966 degrees/second (°/s) in 1 radian/minute (rad/min). To calculate larger amounts manually, simply multiply your total number of radians/minute by the conversion multiplier of 0.95492966.

The mathematical formula to convert radians/minute to degrees/second is: [value] * 0.95492966 = degrees/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 degrees/second back to radians/minute, you must divide your starting value by 0.95492966. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree/second input field.

1 Degree/second is larger than 1 Radian/minute. Specifically, 1 Radian/minute equals 0.95492966 degrees/second, meaning 1 Degree/second is 1.0472 times larger than 1 Radian/minute (a difference of 0.02 orders of magnitude). Expressing measurements in radians/minute requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Radian/minute converts to 0.95492966 degrees/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There is exactly 0.95493 Degree/second in one Radian/minute. Expressed mathematically, 1 rad/min = 0.95493 °/s.

To convert from Radian/minute to Degree/second, multiply the angular velocity by 0.95493. The formal equation is: V(°/s) = V(rad/min) × 0.95493.

To switch from Degree/second back to Radian/minute, multiply the input by 1.0472. The inverse formula is: V(rad/min) = V(°/s) × 1.0472.

Aerospace gyro instrumentation and CNC machine tooling often log raw operational rates in rad/min which must be displayed in recognizable degree-per-second intervals for pilot or operator readability.