Revolutions/minute/second to Radians/second² Converter (rev/(min·s) to rad/s²)

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Live Conversion • ISO 80000-3:2019 Certified

1 RPM/second = 0.10471976 Radian/second²

1 rev/(min·s) = 0.10472 rad/s² • 1 rad/s² = 9.549297 rev/(min·s)

Decimals:

Certified Authority Value

0.10471976

rad/s²

From / Input

rev/(min·s)

Swap to Radian/second² to RPM/second

To / Result

rad/s²

Quick Values:

Conversion Formula

To convert RPM/second to Radian/second², multiply by 0.10471976

rev/(min·s) × 0.10471976 = rad/s²

Calculation: 1 rev/(min·s) × 0.10471976 = 0.10471976 rad/s²

Common RPM/second to Radian/second² Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between RPM/second (rev/(min·s)) and Radian/second² (rad/s²).

Tap any row to calculate

RPM/second to Radian/second²: Primary Direct Table (15 Steps)

Rule: 1 RPM/second is equal to 0.10472 rad/s² (Radian/second²)

RPM/second to Radian/second² Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rev/(min·s) 0.00010472 rad/s²	1.047 × 10⁻⁴
0.01 rev/(min·s) 0.0010472 rad/s²	1.047 × 10⁻³
0.1 rev/(min·s) 0.010472 rad/s²	1.047 × 10⁻²
0.5 rev/(min·s) 0.0523599 rad/s²	5.236 × 10⁻²
1 rev/(min·s) 0.10472 rad/s²	1.047 × 10⁻¹
2 rev/(min·s) 0.20944 rad/s²	2.094 × 10⁻¹
5 rev/(min·s) 0.523599 rad/s²	5.236 × 10⁻¹
10 rev/(min·s) 1.047198 rad/s²	1.047 × 10⁰
20 rev/(min·s) 2.094395 rad/s²	2.094 × 10⁰
25 rev/(min·s) 2.617994 rad/s²	2.618 × 10⁰
50 rev/(min·s) 5.235988 rad/s²	5.236 × 10⁰
100 rev/(min·s) 10.471976 rad/s²	1.047 × 10¹
250 rev/(min·s) 26.179939 rad/s²	2.618 × 10¹
500 rev/(min·s) 52.359878 rad/s²	5.236 × 10¹
1000 rev/(min·s) 104.719755 rad/s²	1.047 × 10²

Radian/second² to RPM/second: Reciprocal Summary

Rule: 1 Radian/second² is equal to 9.549297 rev/(min·s) (RPM/second)

Radian/second² to RPM/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/s² 9.549297 rev/(min·s)	9.549 × 10⁰
5 rad/s² 47.746483 rev/(min·s)	4.775 × 10¹
10 rad/s² 95.492966 rev/(min·s)	9.549 × 10¹
50 rad/s² 477.464829 rev/(min·s)	4.775 × 10²
100 rad/s² 954.929659 rev/(min·s)	9.549 × 10²

View Complete 15-Row Radian/second² to RPM/second 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 RPM/second (rev/(min·s)) and Radian/second² (rad/s²):

RPM/second References:

Laboratory benchtop centrifuge acceleration rate 477.46 rev/(min·s)
High-performance sports car engine revving up in neutral 3342.25 rev/(min·s)
Computer 7200 RPM hard disk platter spin-up acceleration 11459.16 rev/(min·s)

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

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

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

How to Convert RPM/second to Radian/second²

Converting RPM/second (rev/(min·s)) to Radian/second² (rad/s²) 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 is a broader physical scale than RPM/second, converting from rev/(min·s) to rad/s² condenses the numerical figure. It takes 9.549297 RPM/second to equal a single Radian/second² (1 rev/(min·s) = 0.10472 rad/s²). To convert any quantity, multiply by 0.10472 (or divide by 9.549297).

Direct Factor1 rev/(min·s) = 0.10472 rad/s²

Inverse Ratio1 rad/s² = 9.549297 rev/(min·s)

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 rev/(min·s) = 0.10472 radian per second squared (rad/s²)

2. Target SI Bridge (k_target):1 rad/s² = 1 radian per second squared (rad/s²)

Step-by-step substitution for RPM/second → Radian/second²:V(rad/s²) = V(rev/(min·s)) × ( 0.10472 / 1 ) = V(rev/(min·s)) × 0.10472

Mathematical FormulaValue in Radian/second² = Value in RPM/second × 0.10471976Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 8 rev/(min·s), applying the conversion factor yields exactly 0.837758 rad/s². At larger operational scale, 480 RPM/second corresponds to 50.265482 rad/s².

Inverse check: 1 rad/s² = 9.549297 rev/(min·s).

Understanding RPM/second and Radian/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): rev/(min·s)

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 rev/(min·s) at Industrial Electric Motor Rotor (2.5 kg·m²) = 0.2618 N·m

Equals 0.0002618 kN·m • 0.1931 lbf·ft • 2.3171 lbf·in

SI Torque

0.2618

N·m

Newton-Meters

Heavy Drivetrain

0.0002618

kN·m

Kilonewton-Meters

US Automotive

0.1931

lbf·ft

Foot-Pounds

Precision Fasteners

2.3171

lbf·in

Inch-Pounds

Metric Torque

0.0267

kgf·m

Kilogram-Force Meters

CGS Torque

2617993.88

dyn·cm

Dyne-Centimeters

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s²):
α = 1 rev/(min·s) × 0.10471976 = 0.10471976 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 = (0.10471976 rad/s²) × (2.5 kg·m²) = 0.261799 N·m
4. Convert to Standard Engineering Units:
• N·m: 0.261799 × 1 = 0.2618 N·m (Newton-Meters) • kN·m: 0.261799 × 0.001 = 0.0002618 kN·m (Kilonewton-Meters) • lbf·ft: 0.261799 × 0.7376 = 0.1931 lbf·ft (Foot-Pounds) • lbf·in: 0.261799 × 8.8507 = 2.3171 lbf·in (Inch-Pounds) • kgf·m: 0.261799 × 0.102 = 0.0267 kgf·m (Kilogram-Force Meters) • dyn·cm: 0.261799 × 1 × 10⁷ = 2617993.88 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 0.10471976 radians/second² (rad/s²) in 1 rpm/second (rev/(min·s)). To calculate larger amounts manually, simply multiply your total number of revolutions/minute/second by the conversion multiplier of 0.10471976.

The mathematical formula to convert revolutions/minute/second to radians/second² is: [value] * 0.10471976 = radians/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 radians/second² back to revolutions/minute/second, you must divide your starting value by 0.10471976. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/second² input field.

1 Radian/second² is larger than 1 RPM/second. Specifically, 1 RPM/second equals 0.10471976 radians/second², meaning 1 Radian/second² is 9.5493 times larger than 1 RPM/second (a difference of 0.98 orders of magnitude). Expressing measurements in revolutions/minute/second requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 RPM/second converts to 0.10471976 radians/second². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.