Degrees/minute² to Radians/second² Converter (°/min² to rad/s²)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Degree/minute² = 4.84813682 × 10⁻⁶ Radian/second²

1 °/min² = 4.848137 × 10⁻⁶ rad/s² • 1 rad/s² = 206264.806 °/min²

Decimals:

Certified Authority Value

0.00000485

rad/s²

From / Input

°/min²

Swap to Radian/second² to Degree/minute²

To / Result

rad/s²

Quick Values:

Conversion Formula

To convert Degree/minute² to Radian/second², multiply by 4.84813682 × 10⁻⁶

°/min² × 4.84813682 × 10⁻⁶ = rad/s²

Calculation: 1 °/min² × 4.84813682 × 10⁻⁶ = 4.84813682 × 10⁻⁶ rad/s²

Common Degree/minute² to Radian/second² Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Degree/minute² (°/min²) and Radian/second² (rad/s²).

Tap any row to calculate

Degree/minute² to Radian/second²: Primary Direct Table (15 Steps)

Rule: 1 Degree/minute² is equal to 4.848137 × 10⁻⁶ rad/s² (Radian/second²)

Degree/minute² to Radian/second² Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/min² 4.848137 × 10⁻⁹ rad/s²	4.848 × 10⁻⁹
0.01 °/min² 4.848137 × 10⁻⁸ rad/s²	4.848 × 10⁻⁸
0.1 °/min² 4.848137 × 10⁻⁷ rad/s²	4.848 × 10⁻⁷
0.5 °/min² 2.424068 × 10⁻⁶ rad/s²	2.424 × 10⁻⁶
1 °/min² 4.848137 × 10⁻⁶ rad/s²	4.848 × 10⁻⁶
2 °/min² 9.696274 × 10⁻⁶ rad/s²	9.696 × 10⁻⁶
5 °/min² 2.424068 × 10⁻⁵ rad/s²	2.424 × 10⁻⁵
10 °/min² 4.848137 × 10⁻⁵ rad/s²	4.848 × 10⁻⁵
20 °/min² 9.696274 × 10⁻⁵ rad/s²	9.696 × 10⁻⁵
25 °/min² 0.000121203 rad/s²	1.212 × 10⁻⁴
50 °/min² 0.000242407 rad/s²	2.424 × 10⁻⁴
100 °/min² 0.000484814 rad/s²	4.848 × 10⁻⁴
250 °/min² 0.00121203 rad/s²	1.212 × 10⁻³
500 °/min² 0.00242407 rad/s²	2.424 × 10⁻³
1000 °/min² 0.00484814 rad/s²	4.848 × 10⁻³

Radian/second² to Degree/minute²: Reciprocal Summary

Rule: 1 Radian/second² is equal to 206264.806 °/min² (Degree/minute²)

Radian/second² to Degree/minute² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/s² 206264.806 °/min²	2.063 × 10⁵
5 rad/s² 1031324.03 °/min²	1.031 × 10⁶
10 rad/s² 2062648.06 °/min²	2.063 × 10⁶
50 rad/s² 1.031324 × 10⁷ °/min²	1.031 × 10⁷
100 rad/s² 2.062648 × 10⁷ °/min²	2.063 × 10⁷

View Complete 15-Row Radian/second² to Degree/minute² 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/minute² (°/min²) and Radian/second² (rad/s²):

Degree/minute² References:

Astronomical observatory telescope dome rotational slewing 36000 °/min²
Airport air-traffic radar antenna steady spin acceleration 180000 °/min²

Radian/second² References:

Laboratory benchtop centrifuge acceleration rate 50 rad/s²
High-performance sports car engine revving up in neutral 350 rad/s²
Computer 7200 RPM hard disk platter spin-up acceleration 1200 rad/s²

Tap any benchmark above to automatically calculate its exact equivalent in Radian/second².

ISQ Dimension: [T⁻²] Coherent SI Unit: radian per second squared (rad/s²) Classical Mechanics & Dimensional Metrology

How to Convert Degree/minute² to Radian/second²

Converting Degree/minute² (°/min²) to Radian/second² (rad/s²) is a core calculation in Angular Acceleration, which measures the rate of change of rotational velocity over time about a rotation axis. Because Radian/second² is a broader physical scale than Degree/minute², converting from °/min² to rad/s² condenses the numerical figure. It takes 206264.806 Degree/minute² to equal a single Radian/second² (1 °/min² = 4.848137 × 10⁻⁶ rad/s²). To convert any quantity, multiply by 4.848137 × 10⁻⁶ (or divide by 206264.806).

Direct Factor1 °/min² = 4.848137 × 10⁻⁶ rad/s²

Inverse Ratio1 rad/s² = 206264.806 °/min²

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 squared (rad/s²)) 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 °/min² = 4.848137 × 10⁻⁶ radian per second squared (rad/s²)

2. Target SI Bridge (k_target):1 rad/s² = 1 radian per second squared (rad/s²)

Step-by-step substitution for Degree/minute² → Radian/second²:V(rad/s²) = V(°/min²) × ( 4.848137 × 10⁻⁶ / 1 ) = V(°/min²) × 4.848137 × 10⁻⁶

Mathematical FormulaValue in Radian/second² = Value in Degree/minute² × 4.84813682 × 10⁻⁶Direct computational formula applied for standard conversion.

Worked Example

Converting 15 °/min² yields an exact output of 7.272205 × 10⁻⁵ rad/s² in Radian/second². Under higher industrial throughput, 10000 °/min² translates to 0.0484814 rad/s².

Inverse check: 1 rad/s² = 206264.806 °/min².

Understanding Degree/minute² and Radian/second²

Domain Metrology & Engineering Applications

Governing Law & Equation

Rotational Dynamics Equation (α = τ / I = dω/dt)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using angular rate gyroscopes, high-speed rotary quadrature encoders, and torsional laser vibrometers.

Primary Industry Sectors

Applied across industrial robotics positioning, satellite attitude control systems, and high-performance turbine dynamics 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 Dynamics Equation (α = τ / I = dω/dt) under ISO 80000 dimensional vector [T⁻²].

Multi-Variable Engineering Bridge Rotational Dynamics & Flywheel Torque

Angular Acceleration to Dynamic Torque Bridge (Newton-Meters • Foot-Pounds • Inch-Pounds)

Calculate required rotor dynamic torque τ = I × α across industrial machinery and flywheel moments of inertia, bridging angular acceleration [T⁻²] with rotational torque [M L² T⁻²].

Input Angular Acceleration Rate (α): °/min²

Select Rotor Moment of Inertia: 2.5 kg·m²

Governing Law: τ = I × α

Vector: [rad/s²] × [kg·m²] → [N·m]

Live Calculated Bridge Equivalent:

1 °/min² at Industrial Electric Motor Rotor (2.5 kg·m²) = 1.212 × 10⁻⁵ N·m

Equals 1.212 × 10⁻⁸ kN·m • 8.9395 × 10⁻⁶ lbf·ft • 0.0001073 lbf·in

SI Torque

1.212 × 10⁻⁵

N·m

Newton-Meters

Heavy Drivetrain

1.212 × 10⁻⁸

kN·m

Kilonewton-Meters

US Automotive

8.9395 × 10⁻⁶

lbf·ft

Foot-Pounds

Precision Fasteners

0.0001073

lbf·in

Inch-Pounds

Metric Torque

1.2359 × 10⁻⁶

kgf·m

Kilogram-Force Meters

CGS Torque

121.2

dyn·cm

Dyne-Centimeters

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s²):
α = 1 °/min² × 4.84813682 × 10⁻⁶ = 4.84813682 × 10⁻⁶ rad/s²
2. Apply Engineering Parameter (I):
Selected condition: Industrial Electric Motor Rotor (2.5 kg·m²) at I = 2.5 kg·m²
3. Execute Governing Physical Law in SI Units:
τ = I × α = (4.84813682 × 10⁻⁶ rad/s²) × (2.5 kg·m²) = 1.212034 × 10⁻⁵ N·m
4. Convert to Standard Engineering Units:
• N·m: 1.212034 × 10⁻⁵ × 1 = 1.212 × 10⁻⁵ N·m (Newton-Meters) • kN·m: 1.212034 × 10⁻⁵ × 0.001 = 1.212 × 10⁻⁸ kN·m (Kilonewton-Meters) • lbf·ft: 1.212034 × 10⁻⁵ × 0.7376 = 8.9395 × 10⁻⁶ lbf·ft (Foot-Pounds) • lbf·in: 1.212034 × 10⁻⁵ × 8.8507 = 0.0001073 lbf·in (Inch-Pounds) • kgf·m: 1.212034 × 10⁻⁵ × 0.102 = 1.2359 × 10⁻⁶ kgf·m (Kilogram-Force Meters) • dyn·cm: 1.212034 × 10⁻⁵ × 1 × 10⁷ = 121.2 dyn·cm (Dyne-Centimeters)

Explore Full Moment of Inertia Converter →

Engineering Substance / Operating Standard	Parameter Value (kg·m²)	Reference State / Condition	Typical Industrial & Engineering Application
Bicycle Wheel (0.14 kg·m²)	`0.14`	0.14 kg·m²	Standard 700c bicycle wheel rim and tire
Automotive Engine Flywheel (0.50 kg·m²)	`0.5`	0.50 kg·m²	Internal combustion engine dual-mass flywheel
Industrial Electric Motor Rotor (2.5 kg·m²)	`2.5`	2.5 kg·m²	50 kW three-phase induction motor rotor
Industrial Ventilation Fan (25 kg·m²)	`25`	25.0 kg·m²	Mine ventilation fan impeller
Utility Wind Turbine Rotor (50,000 kg·m²)	`50000`	50,000 kg·m²	2 MW commercial wind turbine rotor blade hub

Frequently Asked Questions

There are exactly 4.84813682 × 10⁻⁶ radians/second² (rad/s²) in 1 degree/minute² (°/min²). To calculate larger amounts manually, simply multiply your total number of degrees/minute² by the conversion multiplier of 4.84813682 × 10⁻⁶.

The mathematical formula to convert degrees/minute² to radians/second² is: [value] * 4.84813682 × 10⁻⁶ = radians/second². 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/second² back to degrees/minute², you must divide your starting value by 4.84813682 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/second² input field.

1 Radian/second² is larger than 1 Degree/minute². Specifically, 1 Degree/minute² equals 4.84813682 × 10⁻⁶ radians/second², meaning 1 Radian/second² is 206264.806 times larger than 1 Degree/minute² (a difference of 5.31 orders of magnitude). Expressing measurements in degrees/minute² requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Degree/minute² converts to 4.84813682 × 10⁻⁶ radians/second². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.