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

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/second² = 572.957795 Revolution/minute²

1 rad/s² = 572.957795 rev/min² • 1 rev/min² = 0.00174533 rad/s²

Decimals:

Certified Authority Value

572.95779500

rev/min²

From / Input

rad/s²

Swap to Revolution/minute² to Radian/second²

To / Result

rev/min²

Quick Values:

Conversion Formula

To convert Radian/second² to Revolution/minute², multiply by 572.957795

rad/s² × 572.957795 = rev/min²

Calculation: 1 rad/s² × 572.957795 = 572.957795 rev/min²

Common Radian/second² to Revolution/minute² Calculations

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

Tap any row to calculate

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

Rule: 1 Radian/second² is equal to 572.957795 rev/min² (Revolution/minute²)

Radian/second² to Revolution/minute² Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/s² 0.572958 rev/min²	5.73 × 10⁻¹
0.01 rad/s² 5.729578 rev/min²	5.73 × 10⁰
0.1 rad/s² 57.29578 rev/min²	5.73 × 10¹
0.5 rad/s² 286.478898 rev/min²	2.865 × 10²
1 rad/s² 572.957795 rev/min²	5.73 × 10²
2 rad/s² 1145.91559 rev/min²	1.146 × 10³
5 rad/s² 2864.788975 rev/min²	2.865 × 10³
10 rad/s² 5729.57795 rev/min²	5.73 × 10³
20 rad/s² 11459.1559 rev/min²	1.146 × 10⁴
25 rad/s² 14323.944875 rev/min²	1.432 × 10⁴
50 rad/s² 28647.88975 rev/min²	2.865 × 10⁴
100 rad/s² 57295.7795 rev/min²	5.73 × 10⁴
250 rad/s² 143239.44875 rev/min²	1.432 × 10⁵
500 rad/s² 286478.8975 rev/min²	2.865 × 10⁵
1000 rad/s² 572957.795 rev/min²	5.73 × 10⁵

Revolution/minute² to Radian/second²: Reciprocal Summary

Rule: 1 Revolution/minute² is equal to 0.00174533 rad/s² (Radian/second²)

Revolution/minute² to Radian/second² Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/min² 0.00174533 rad/s²	1.745 × 10⁻³
5 rev/min² 0.00872665 rad/s²	8.727 × 10⁻³
10 rev/min² 0.0174533 rad/s²	1.745 × 10⁻²
50 rev/min² 0.0872665 rad/s²	8.727 × 10⁻²
100 rev/min² 0.174533 rad/s²	1.745 × 10⁻¹

View Complete 15-Row Revolution/minute² to Radian/second² 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/second² (rad/s²) and Revolution/minute² (rev/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

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/second² to Revolution/minute²

Converting Radian/second² (rad/s²) 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 Radian/second² represents a larger magnitude than Revolution/minute², converting from rad/s² to rev/min² expands the numerical figure. Exactly 1 Radian/second² encompasses 572.957795 Revolution/minute². To convert any quantity, multiply the value in Radian/second² by 572.957795.

Direct Factor1 rad/s² = 572.957795 rev/min²

Inverse Ratio1 rev/min² = 0.00174533 rad/s²

Conversion ScaleDirect Proportional Magnitude Expansion

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/s² = 1 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/second² → Revolution/minute²:V(rev/min²) = V(rad/s²) × ( 1 / 0.00174533 ) = V(rad/s²) × 572.957795

Mathematical FormulaValue in Revolution/minute² = Value in Radian/second² × 572.957795Direct computational formula applied for standard conversion.

Worked Example

Converting 8 rad/s² yields an exact output of 4583.66236 rev/min² in Revolution/minute². Under higher industrial throughput, 240 rad/s² translates to 137509.8708 rev/min².

Inverse check: 1 rev/min² = 0.00174533 rad/s².

Understanding Radian/second² 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/s²

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/s² at Industrial Electric Motor Rotor (2.5 kg·m²) = 2.5 N·m

Equals 0.0025 kN·m • 1.8439 lbf·ft • 22.1269 lbf·in

SI Torque

2.5

N·m

Newton-Meters

Heavy Drivetrain

0.0025

kN·m

Kilonewton-Meters

US Automotive

1.8439

lbf·ft

Foot-Pounds

Precision Fasteners

22.1269

lbf·in

Inch-Pounds

Metric Torque

0.2549

kgf·m

Kilogram-Force Meters

CGS Torque

2.5 × 10⁷

dyn·cm

Dyne-Centimeters

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s²):
α = 1 rad/s² × 1 = 1 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 = (1 rad/s²) × (2.5 kg·m²) = 2.5 N·m
4. Convert to Standard Engineering Units:
• N·m: 2.5 × 1 = 2.5 N·m (Newton-Meters) • kN·m: 2.5 × 0.001 = 0.0025 kN·m (Kilonewton-Meters) • lbf·ft: 2.5 × 0.7376 = 1.8439 lbf·ft (Foot-Pounds) • lbf·in: 2.5 × 8.8507 = 22.1269 lbf·in (Inch-Pounds) • kgf·m: 2.5 × 0.102 = 0.2549 kgf·m (Kilogram-Force Meters) • dyn·cm: 2.5 × 1 × 10⁷ = 2.5 × 10⁷ 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 572.957795 revolutions/minute² (rev/min²) in 1 radian/second² (rad/s²). To calculate larger amounts manually, simply multiply your total number of radians/second² by the conversion multiplier of 572.957795.

The mathematical formula to convert radians/second² to revolutions/minute² is: [value] * 572.957795 = 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/second², you must divide your starting value by 572.957795. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/minute² input field.

1 Radian/second² is larger than 1 Revolution/minute². Specifically, 1 Radian/second² equals exactly 572.957795 revolutions/minute², making it 572.9578 times larger (a difference of 2.76 orders of magnitude). Therefore, quantities expressed in revolutions/minute² require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Radian/second² converts to 572.957795 revolutions/minute². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 572.958 Revolution/minute² in 1 Radian/second². The conversion ratio is expressed as 1 rad/s² = 572.958 rev/min².

To convert from Radian/second² to Revolution/minute², multiply the value by 572.958. The formula is V(rev/min²) = V(rad/s²) × 572.958.

To convert from Revolution/minute² to Radian/second², multiply the value by 0.00174533. The reverse formula is V(rad/s²) = V(rev/min²) × 0.00174533.

Radian/second² is the preferred SI unit for theoretical mechanics and dynamics. Revolution/minute² is occasionally used in specialized industrial machine specifications where changes in motor RPM over longer minute intervals are tracked.