Degrees/minute² to Revolutions per minute/second Converter (°/min² to rev/(min·s))

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Live Conversion • ISO 80000-3:2019 Certified

1 Degree/minute² = 4.62962964 × 10⁻⁵ RPM/second

1 °/min² = 4.62963 × 10⁻⁵ rev/(min·s) • 1 rev/(min·s) = 21599.999973 °/min²

Decimals:

Certified Authority Value

0.00004630

rev/(min·s)

From / Input

°/min²

Swap to RPM/second to Degree/minute²

To / Result

rev/(min·s)

Quick Values:

Conversion Formula

To convert Degree/minute² to RPM/second, multiply by 4.62962964 × 10⁻⁵

°/min² × 4.62962964 × 10⁻⁵ = rev/(min·s)

Calculation: 1 °/min² × 4.62962964 × 10⁻⁵ = 4.62962964 × 10⁻⁵ rev/(min·s)

Common Degree/minute² to RPM/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Degree/minute² (°/min²) and RPM/second (rev/(min·s)).

Tap any row to calculate

Degree/minute² to RPM/second: Primary Direct Table (15 Steps)

Rule: 1 Degree/minute² is equal to 4.62963 × 10⁻⁵ rev/(min·s) (RPM/second)

Degree/minute² to RPM/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/min² 4.62963 × 10⁻⁸ rev/(min·s)	4.63 × 10⁻⁸
0.01 °/min² 4.62963 × 10⁻⁷ rev/(min·s)	4.63 × 10⁻⁷
0.1 °/min² 4.62963 × 10⁻⁶ rev/(min·s)	4.63 × 10⁻⁶
0.5 °/min² 2.314815 × 10⁻⁵ rev/(min·s)	2.315 × 10⁻⁵
1 °/min² 4.62963 × 10⁻⁵ rev/(min·s)	4.63 × 10⁻⁵
2 °/min² 9.259259 × 10⁻⁵ rev/(min·s)	9.259 × 10⁻⁵
5 °/min² 0.000231481 rev/(min·s)	2.315 × 10⁻⁴
10 °/min² 0.000462963 rev/(min·s)	4.63 × 10⁻⁴
20 °/min² 0.000925926 rev/(min·s)	9.259 × 10⁻⁴
25 °/min² 0.00115741 rev/(min·s)	1.157 × 10⁻³
50 °/min² 0.00231481 rev/(min·s)	2.315 × 10⁻³
100 °/min² 0.00462963 rev/(min·s)	4.63 × 10⁻³
250 °/min² 0.0115741 rev/(min·s)	1.157 × 10⁻²
500 °/min² 0.0231481 rev/(min·s)	2.315 × 10⁻²
1000 °/min² 0.0462963 rev/(min·s)	4.63 × 10⁻²

RPM/second to Degree/minute²: Reciprocal Summary

Rule: 1 RPM/second is equal to 21599.999973 °/min² (Degree/minute²)

RPM/second to Degree/minute² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/(min·s) 21599.999973 °/min²	2.16 × 10⁴
5 rev/(min·s) 107999.999865 °/min²	1.08 × 10⁵
10 rev/(min·s) 215999.99973 °/min²	2.16 × 10⁵
50 rev/(min·s) 1079999.998651 °/min²	1.08 × 10⁶
100 rev/(min·s) 2159999.997302 °/min²	2.16 × 10⁶

View Complete 15-Row RPM/second to Degree/minute² 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/minute² (°/min²) and RPM/second (rev/(min·s)):

Degree/minute² References:

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

RPM/second References:

Passenger automobile engine free revving in neutral 2500 rev/(min·s)
Superbike racing motorcycle engine throttle response rate 6000 rev/(min·s)
Formula 1 racing engine transient throttle rev acceleration 10000 rev/(min·s)

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

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

How to Convert Degree/minute² to RPM/second

Converting Degree/minute² (°/min²) to RPM/second (rev/(min·s)) is a core calculation in Angular Acceleration, which measures the rate of change of rotational velocity over time about a rotation axis. Because RPM/second is a broader physical scale than Degree/minute², converting from °/min² to rev/(min·s) condenses the numerical figure. It takes 21599.999973 Degree/minute² to equal a single RPM/second (1 °/min² = 4.62963 × 10⁻⁵ rev/(min·s)). To convert any quantity, multiply by 4.62963 × 10⁻⁵ (or divide by 21599.999973).

Direct Factor1 °/min² = 4.62963 × 10⁻⁵ rev/(min·s)

Inverse Ratio1 rev/(min·s) = 21599.999973 °/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 rev/(min·s) = 0.10472 radian per second squared (rad/s²)

Step-by-step substitution for Degree/minute² → RPM/second:V(rev/(min·s)) = V(°/min²) × ( 4.848137 × 10⁻⁶ / 0.10472 ) = V(°/min²) × 4.62963 × 10⁻⁵

Mathematical FormulaValue in RPM/second = Value in Degree/minute² × 4.62962964 × 10⁻⁵Direct computational formula applied for standard conversion.

Worked Example

Converting 15 °/min² yields an exact output of 0.000694444 rev/(min·s) in RPM/second. Under higher industrial throughput, 480 °/min² translates to 0.0222222 rev/(min·s).

Inverse check: 1 rev/(min·s) = 21599.999973 °/min².

Understanding Degree/minute² and RPM/second

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 4.62962964 × 10⁻⁵ revolutions per minute/second (rev/(min·s)) in 1 degree/minute² (°/min²). To calculate larger amounts manually, simply multiply your total number of degrees/minute² by the conversion multiplier of 4.62962964 × 10⁻⁵.

The mathematical formula to convert degrees/minute² to revolutions per minute/second is: [value] * 4.62962964 × 10⁻⁵ = revolutions per minute/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 revolutions per minute/second back to degrees/minute², you must divide your starting value by 4.62962964 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the rpm/second input field.

1 RPM/second is larger than 1 Degree/minute². Specifically, 1 Degree/minute² equals 4.62962964 × 10⁻⁵ revolutions per minute/second, meaning 1 RPM/second is 21600 times larger than 1 Degree/minute² (a difference of 4.33 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 4.62962964 × 10⁻⁵ revolutions per minute/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.