Radian/minute² to RPM/second (rad/min² to rev/(min·s)) Converter

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute² = 0.0026525824 RPM/second

1 rad/min² = 0.00265258 rev/(min·s) • 1 rev/(min·s) = 376.991118 rad/min²

Decimals:

Certified Authority Value

0.00265258

rev/(min·s)

From / Input

rad/min²

Swap to RPM/second to Radian/minute²

To / Result

rev/(min·s)

Quick Values:

Conversion Formula

To convert Radian/minute² to RPM/second, multiply by 0.0026525824

rad/min² × 0.0026525824 = rev/(min·s)

Calculation: 1 rad/min² × 0.0026525824 = 0.0026525824 rev/(min·s)

Common Radian/minute² to RPM/second Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/minute² is equal to 0.00265258 rev/(min·s) (RPM/second)

Radian/minute² to RPM/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/min² 2.652582 × 10⁻⁶ rev/(min·s)	2.653 × 10⁻⁶
0.01 rad/min² 2.652582 × 10⁻⁵ rev/(min·s)	2.653 × 10⁻⁵
0.1 rad/min² 0.000265258 rev/(min·s)	2.653 × 10⁻⁴
0.5 rad/min² 0.00132629 rev/(min·s)	1.326 × 10⁻³
1 rad/min² 0.00265258 rev/(min·s)	2.653 × 10⁻³
2 rad/min² 0.00530516 rev/(min·s)	5.305 × 10⁻³
5 rad/min² 0.0132629 rev/(min·s)	1.326 × 10⁻²
10 rad/min² 0.0265258 rev/(min·s)	2.653 × 10⁻²
20 rad/min² 0.0530516 rev/(min·s)	5.305 × 10⁻²
25 rad/min² 0.0663146 rev/(min·s)	6.631 × 10⁻²
50 rad/min² 0.132629 rev/(min·s)	1.326 × 10⁻¹
100 rad/min² 0.265258 rev/(min·s)	2.653 × 10⁻¹
250 rad/min² 0.663146 rev/(min·s)	6.631 × 10⁻¹
500 rad/min² 1.326291 rev/(min·s)	1.326 × 10⁰
1000 rad/min² 2.652582 rev/(min·s)	2.653 × 10⁰

RPM/second to Radian/minute²: Reciprocal Summary

Rule: 1 RPM/second is equal to 376.991118 rad/min² (Radian/minute²)

RPM/second to Radian/minute² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/(min·s) 376.991118 rad/min²	3.77 × 10²
5 rev/(min·s) 1884.955592 rad/min²	1.885 × 10³
10 rev/(min·s) 3769.911184 rad/min²	3.77 × 10³
50 rev/(min·s) 18849.555921 rad/min²	1.885 × 10⁴
100 rev/(min·s) 37699.111841 rad/min²	3.77 × 10⁴

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

Radian/minute² References:

Commercial wind turbine rotor slow start acceleration 18000 rad/min²
Industrial flywheel energy storage spin-up acceleration 72000 rad/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 Radian/minute² to RPM/second

Converting Radian/minute² (rad/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 Radian/minute², converting from rad/min² to rev/(min·s) condenses the numerical figure. It takes 376.991118 Radian/minute² to equal a single RPM/second (1 rad/min² = 0.00265258 rev/(min·s)). To convert any quantity, multiply by 0.00265258 (or divide by 376.991118).

Direct Factor1 rad/min² = 0.00265258 rev/(min·s)

Inverse Ratio1 rev/(min·s) = 376.991118 rad/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 rad/min² = 0.000277778 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 Radian/minute² → RPM/second:V(rev/(min·s)) = V(rad/min²) × ( 0.000277778 / 0.10472 ) = V(rad/min²) × 0.00265258

Mathematical FormulaValue in RPM/second = Value in Radian/minute² × 0.0026525824Direct computational formula applied for standard conversion.

Worked Example

To convert 50 Radian/minute² (rad/min²) to RPM/second (rev/(min·s)): multiply 50 by 0.00265258 to get 0.132629 rev/(min·s). At an industrial engineering scale, 1000 rad/min² converts to 2.652582 rev/(min·s).

Inverse check: 1 rev/(min·s) = 376.991118 rad/min².

Understanding Radian/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): rad/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 rad/min² at Industrial Electric Motor Rotor (2.5 kg·m²) = 0.0006944 N·m

Equals 6.9444 × 10⁻⁷ kN·m • 0.0005122 lbf·ft • 0.006146 lbf·in

SI Torque

0.0006944

N·m

Newton-Meters

Heavy Drivetrain

6.9444 × 10⁻⁷

kN·m

Kilonewton-Meters

US Automotive

0.0005122

lbf·ft

Foot-Pounds

Precision Fasteners

0.006146

lbf·in

Inch-Pounds

Metric Torque

7.0814 × 10⁻⁵

kgf·m

Kilogram-Force Meters

CGS Torque

6944.44

dyn·cm

Dyne-Centimeters

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s²):
α = 1 rad/min² × 0.00027778 = 0.00027778 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 = (0.00027778 rad/s²) × (2.5 kg·m²) = 0.00069444 N·m
4. Convert to Standard Engineering Units:
• N·m: 0.00069444 × 1 = 0.0006944 N·m (Newton-Meters) • kN·m: 0.00069444 × 0.001 = 6.9444 × 10⁻⁷ kN·m (Kilonewton-Meters) • lbf·ft: 0.00069444 × 0.7376 = 0.0005122 lbf·ft (Foot-Pounds) • lbf·in: 0.00069444 × 8.8507 = 0.006146 lbf·in (Inch-Pounds) • kgf·m: 0.00069444 × 0.102 = 7.0814 × 10⁻⁵ kgf·m (Kilogram-Force Meters) • dyn·cm: 0.00069444 × 1 × 10⁷ = 6944.44 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 0.0026525824 revolutions per minute/second (rev/(min·s)) in 1 radian/minute² (rad/min²). To calculate larger amounts manually, simply multiply your total number of radians/minute² by the conversion multiplier of 0.0026525824.

The mathematical formula to convert radians/minute² to revolutions per minute/second is: [value] * 0.0026525824 = 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 radians/minute², you must divide your starting value by 0.0026525824. 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 Radian/minute². Specifically, 1 Radian/minute² equals 0.0026525824 revolutions per minute/second, meaning 1 RPM/second is 376.9911 times larger than 1 Radian/minute² (a difference of 2.58 orders of magnitude). Expressing measurements in radians/minute² requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Radian/minute² converts to 0.0026525824 revolutions per minute/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are 0.00265258 RPM/second in 1 Radian/minute². The precise equation is 1 rad/min² = 0.00265258 rev/(min· s).

The conversion formula is V(rev/(min· s)) = V(rad/min²) × 0.00265258. Simply multiply the value in rad/min² by 0.00265258 to find the RPM/s.

To convert from RPM/second back to Radian/minute², multiply the RPM/s value by 376.991. The formula is V(rad/min²) = V(rev/(min· s)) × 376.991.

Converting to RPM/second is highly practical in mechanical engineering for evaluating the spool-up time of turbines and electric motors, where velocity is standardly measured in RPM but acceleration is timed in seconds.