Radian/minute² to Revolution/second² (rad/min² to rev/s²) Converter

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute² = 4.42097064 × 10⁻⁵ Revolution/second²

1 rad/min² = 4.420971 × 10⁻⁵ rev/s² • 1 rev/s² = 22619.467119 rad/min²

Decimals:

Certified Authority Value

0.00004421

rev/s²

From / Input

rad/min²

Swap to Revolution/second² to Radian/minute²

To / Result

rev/s²

Quick Values:

Conversion Formula

To convert Radian/minute² to Revolution/second², multiply by 4.42097064 × 10⁻⁵

rad/min² × 4.42097064 × 10⁻⁵ = rev/s²

Calculation: 1 rad/min² × 4.42097064 × 10⁻⁵ = 4.42097064 × 10⁻⁵ rev/s²

Common Radian/minute² to Revolution/second² Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/minute² is equal to 4.420971 × 10⁻⁵ rev/s² (Revolution/second²)

Radian/minute² to Revolution/second² Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/min² 4.420971 × 10⁻⁸ rev/s²	4.421 × 10⁻⁸
0.01 rad/min² 4.420971 × 10⁻⁷ rev/s²	4.421 × 10⁻⁷
0.1 rad/min² 4.420971 × 10⁻⁶ rev/s²	4.421 × 10⁻⁶
0.5 rad/min² 2.210485 × 10⁻⁵ rev/s²	2.21 × 10⁻⁵
1 rad/min² 4.420971 × 10⁻⁵ rev/s²	4.421 × 10⁻⁵
2 rad/min² 8.841941 × 10⁻⁵ rev/s²	8.842 × 10⁻⁵
5 rad/min² 0.000221049 rev/s²	2.21 × 10⁻⁴
10 rad/min² 0.000442097 rev/s²	4.421 × 10⁻⁴
20 rad/min² 0.000884194 rev/s²	8.842 × 10⁻⁴
25 rad/min² 0.00110524 rev/s²	1.105 × 10⁻³
50 rad/min² 0.00221049 rev/s²	2.21 × 10⁻³
100 rad/min² 0.00442097 rev/s²	4.421 × 10⁻³
250 rad/min² 0.0110524 rev/s²	1.105 × 10⁻²
500 rad/min² 0.0221049 rev/s²	2.21 × 10⁻²
1000 rad/min² 0.0442097 rev/s²	4.421 × 10⁻²

Revolution/second² to Radian/minute²: Reciprocal Summary

Rule: 1 Revolution/second² is equal to 22619.467119 rad/min² (Radian/minute²)

Revolution/second² to Radian/minute² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/s² 22619.467119 rad/min²	2.262 × 10⁴
5 rev/s² 113097.335595 rad/min²	1.131 × 10⁵
10 rev/s² 226194.671189 rad/min²	2.262 × 10⁵
50 rev/s² 1130973.355945 rad/min²	1.131 × 10⁶
100 rev/s² 2261946.711891 rad/min²	2.262 × 10⁶

View Complete 15-Row Revolution/second² 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 Revolution/second² (rev/s²):

Radian/minute² References:

Commercial wind turbine rotor slow start acceleration 18000 rad/min²
Industrial flywheel energy storage spin-up acceleration 72000 rad/min²

Revolution/second² References:

Heavy-duty industrial electric power drill spindle acceleration 50 rev/s²
High-speed air-turbine dental drill spindle ramp-up 5000 rev/s²

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

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

How to Convert Radian/minute² to Revolution/second²

Converting Radian/minute² (rad/min²) to Revolution/second² (rev/s²) is a core calculation in Angular Acceleration, which measures the rate of change of rotational velocity over time about a rotation axis. Because Revolution/second² is a broader physical scale than Radian/minute², converting from rad/min² to rev/s² condenses the numerical figure. It takes 22619.467119 Radian/minute² to equal a single Revolution/second² (1 rad/min² = 4.420971 × 10⁻⁵ rev/s²). To convert any quantity, multiply by 4.420971 × 10⁻⁵ (or divide by 22619.467119).

Direct Factor1 rad/min² = 4.420971 × 10⁻⁵ rev/s²

Inverse Ratio1 rev/s² = 22619.467119 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/s² = 6.283185 radian per second squared (rad/s²)

Step-by-step substitution for Radian/minute² → Revolution/second²:V(rev/s²) = V(rad/min²) × ( 0.000277778 / 6.283185 ) = V(rad/min²) × 4.420971 × 10⁻⁵

Mathematical FormulaValue in Revolution/second² = Value in Radian/minute² × 4.42097064 × 10⁻⁵Direct computational formula applied for standard conversion.

Worked Example

Converting 250 rad/min² yields an exact output of 0.0110524 rev/s² in Revolution/second². Under higher industrial throughput, 480 rad/min² translates to 0.0212207 rev/s².

Inverse check: 1 rev/s² = 22619.467119 rad/min².

Understanding Radian/minute² and Revolution/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): 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 4.42097064 × 10⁻⁵ revolutions/second² (rev/s²) in 1 radian/minute² (rad/min²). To calculate larger amounts manually, simply multiply your total number of radians/minute² by the conversion multiplier of 4.42097064 × 10⁻⁵.

The mathematical formula to convert radians/minute² to revolutions/second² is: [value] * 4.42097064 × 10⁻⁵ = revolutions/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 revolutions/second² back to radians/minute², you must divide your starting value by 4.42097064 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/second² input field.

1 Revolution/second² is larger than 1 Radian/minute². Specifically, 1 Radian/minute² equals 4.42097064 × 10⁻⁵ revolutions/second², meaning 1 Revolution/second² is 22619.4671 times larger than 1 Radian/minute² (a difference of 4.35 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 4.42097064 × 10⁻⁵ revolutions/second². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 4.42097 × 10⁻⁵ Revolution/second² in 1 Radian/minute². The equivalence is expressed as 1 rad/min² = 4.42097 × 10⁻⁵ rev/s².

To convert from Radian/minute² to Revolution/second², multiply the angular acceleration value by 4.42097 × 10⁻⁵. The formula is V(rev/s²) = V(rad/min²) × 4.42097 × 10⁻⁵.

To convert Revolution/second² to Radian/minute², multiply the value by 22619.5. The reverse formula is V(rad/min²) = V(rev/s²) × 22619.5.

Radian/minute² is often used to describe slow changes in angular velocity, such as the initial spin-up of large industrial centrifuges, whereas Revolution/second² (rev/s²) is more commonly applied to high-speed rotational dynamics and motor shaft acceleration.