Radian/minute² to Revolution/minute² (rad/min² to rev/min²) Converter & Formula

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute² = 0.15915494 Revolution/minute²

1 rad/min² = 0.159155 rev/min² • 1 rev/min² = 6.283185 rad/min²

Decimals:

Certified Authority Value

0.15915494

rev/min²

From / Input

rad/min²

Swap to Revolution/minute² to Radian/minute²

To / Result

rev/min²

Quick Values:

Conversion Formula

To convert Radian/minute² to Revolution/minute², multiply by 0.15915494

rad/min² × 0.15915494 = rev/min²

Calculation: 1 rad/min² × 0.15915494 = 0.15915494 rev/min²

Common Radian/minute² to Revolution/minute² Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/minute² is equal to 0.159155 rev/min² (Revolution/minute²)

Radian/minute² to Revolution/minute² Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/min² 0.000159155 rev/min²	1.592 × 10⁻⁴
0.01 rad/min² 0.00159155 rev/min²	1.592 × 10⁻³
0.1 rad/min² 0.0159155 rev/min²	1.592 × 10⁻²
0.5 rad/min² 0.0795775 rev/min²	7.958 × 10⁻²
1 rad/min² 0.159155 rev/min²	1.592 × 10⁻¹
2 rad/min² 0.31831 rev/min²	3.183 × 10⁻¹
5 rad/min² 0.795775 rev/min²	7.958 × 10⁻¹
10 rad/min² 1.591549 rev/min²	1.592 × 10⁰
20 rad/min² 3.183099 rev/min²	3.183 × 10⁰
25 rad/min² 3.978874 rev/min²	3.979 × 10⁰
50 rad/min² 7.957747 rev/min²	7.958 × 10⁰
100 rad/min² 15.915494 rev/min²	1.592 × 10¹
250 rad/min² 39.788736 rev/min²	3.979 × 10¹
500 rad/min² 79.577472 rev/min²	7.958 × 10¹
1000 rad/min² 159.154943 rev/min²	1.592 × 10²

Revolution/minute² to Radian/minute²: Reciprocal Summary

Rule: 1 Revolution/minute² is equal to 6.283185 rad/min² (Radian/minute²)

Revolution/minute² to Radian/minute² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/min² 6.283185 rad/min²	6.283 × 10⁰
5 rev/min² 31.415927 rad/min²	3.142 × 10¹
10 rev/min² 62.831853 rad/min²	6.283 × 10¹
50 rev/min² 314.159265 rad/min²	3.142 × 10²
100 rev/min² 628.318531 rad/min²	6.283 × 10²

View Complete 15-Row Revolution/minute² to Radian/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 Radian/minute² (rad/min²) and Revolution/minute² (rev/min²):

Radian/minute² References:

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

Revolution/minute² References:

Heavy metalworking lathe spindle rotational acceleration 150000 rev/min²
Industrial CNC milling machine spindle angular acceleration 600000 rev/min²

Tap any benchmark above to automatically calculate its exact equivalent in Revolution/minute².

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

How to Convert Radian/minute² to Revolution/minute²

Converting Radian/minute² (rad/min²) to Revolution/minute² (rev/min²) is a core calculation in Angular Acceleration, which measures the rate of change of rotational velocity over time about a rotation axis. Because Revolution/minute² is a broader physical scale than Radian/minute², converting from rad/min² to rev/min² condenses the numerical figure. It takes 6.283185 Radian/minute² to equal a single Revolution/minute² (1 rad/min² = 0.159155 rev/min²). To convert any quantity, multiply by 0.159155 (or divide by 6.283185).

Direct Factor1 rad/min² = 0.159155 rev/min²

Inverse Ratio1 rev/min² = 6.283185 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/min² = 0.00174533 radian per second squared (rad/s²)

Step-by-step substitution for Radian/minute² → Revolution/minute²:V(rev/min²) = V(rad/min²) × ( 0.000277778 / 0.00174533 ) = V(rad/min²) × 0.159155

Mathematical FormulaValue in Revolution/minute² = Value in Radian/minute² × 0.15915494Direct computational formula applied for standard conversion.

Worked Example

Converting 36 rad/min² yields an exact output of 5.729578 rev/min² in Revolution/minute². Under higher industrial throughput, 2500 rad/min² translates to 397.887358 rev/min².

Inverse check: 1 rev/min² = 6.283185 rad/min².

Understanding Radian/minute² and Revolution/minute²

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 0.15915494 revolutions/minute² (rev/min²) in 1 radian/minute² (rad/min²). To calculate larger amounts manually, simply multiply your total number of radians/minute² by the conversion multiplier of 0.15915494.

The mathematical formula to convert radians/minute² to revolutions/minute² is: [value] * 0.15915494 = revolutions/minute². 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/minute² back to radians/minute², you must divide your starting value by 0.15915494. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/minute² input field.

1 Revolution/minute² is larger than 1 Radian/minute². Specifically, 1 Radian/minute² equals 0.15915494 revolutions/minute², meaning 1 Revolution/minute² is 6.2832 times larger than 1 Radian/minute² (a difference of 0.80 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 0.15915494 revolutions/minute². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 0.159155 rev/min² in 1 rad/min². Expressed mathematically: 1 rad/min² = 0.159155 rev/min².

The conversion formula is V(rev/min²) = V(rad/min²) × 0.159155. Multiply your Radian/minute² value by 0.159155 to obtain the result in Revolution/minute².

The inverse conversion formula is V(rad/min²) = V(rev/min²) × 6.28319. Multiply the Revolution/minute² value by 6.28319 (which is 2π) to convert back to Radian/minute².

These units are utilized in evaluating the extremely slow angular acceleration of massive industrial turntables or heavy rotary kilns, where changes in rotational speed are measured in revolutions or radians over minutes rather than seconds.