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

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Degree/second = 1.04719755 Radian/minute

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

Decimals:

Certified Authority Value

1.04719755

rad/min

From / Input

°/s

Swap to Radian/minute to Degree/second

To / Result

rad/min

Quick Values:

Conversion Formula

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

°/s × 1.04719755 = rad/min

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

Common Degree/second to Radian/minute Calculations

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

Tap any row to calculate

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

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

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

Radian/minute to Degree/second: Reciprocal Summary

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

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

View Complete 15-Row Radian/minute to Degree/second Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Degree/second (°/s) and Radian/minute (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

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

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

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

How to Convert Degree/second to Radian/minute

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

Direct Factor1 °/s = 1.047198 rad/min

Inverse Ratio1 rad/min = 0.95493 °/s

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 °/s = 0.0174533 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rad/min = 0.0166667 radian per second (rad/s)

Step-by-step substitution for Degree/second → Radian/minute:V(rad/min) = V(°/s) × ( 0.0174533 / 0.0166667 ) = V(°/s) × 1.047198

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

Worked Example

Converting 15 °/s yields an exact output of 15.707963 rad/min in Radian/minute. Under higher industrial throughput, 100 °/s translates to 104.719755 rad/min.

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

Understanding Degree/second and Radian/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): °/s

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 °/s at Passenger Car Engine (250 N·m) = 4.3633 W

Equals 0.004363 kW • 4.363323 × 10⁻⁶ MW • 0.005851 hp

SI Power

4.3633

Watts

Grid / Utility

0.004363

Kilowatts

Power Plant

4.363323 × 10⁻⁶

Megawatts

Mechanical Rating

0.005851

Horsepower (Mechanical)

Metric Horsepower

0.005932

Metric Horsepower (PS)

HVAC Thermal Rating

14.89

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 °/s × 0.01745329 = 0.01745329 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 = (0.01745329 rad/s) × (250 N·m) = 4.363323 W
4. Convert to Standard Engineering Units:
• W: 4.363323 × 1 = 4.3633 W (Watts) • kW: 4.363323 × 0.001 = 0.004363 kW (Kilowatts) • MW: 4.363323 × 1 × 10⁻⁶ = 4.363323 × 10⁻⁶ MW (Megawatts) • hp: 4.363323 × 0.001341 = 0.005851 hp (Horsepower (Mechanical)) • PS: 4.363323 × 0.00136 = 0.005932 PS (Metric Horsepower (PS)) • BTU/h: 4.363323 × 3.4121 = 14.89 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/minute (rad/min) in 1 degree/second (°/s). To calculate larger amounts manually, simply multiply your total number of degrees/second by the conversion multiplier of 1.04719755.

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

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

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

There is exactly 1.0472 Radian/minute in one Degree/second. In mathematical terms, this is written as 1 °/s = 1.0472 rad/min.

To convert from Degree/second to Radian/minute, simply multiply the velocity figure by 1.0472. The formula is represented as: V(rad/min) = V(°/s) × 1.0472.

To perform the reverse equation, multiply the Radian/minute measurement by 0.95493. The formula is: V(°/s) = V(rad/min) × 0.95493.

Robotic articulation programming generally defines actuator speeds in degrees per second, which systems integrators periodically translate into radians per minute for standardized payload stress simulations.