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

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Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute = 0.0026525824 Revolution/second

1 rad/min = 0.00265258 rev/s • 1 rev/s = 376.991118 rad/min

Decimals:

Certified Authority Value

0.00265258

rev/s

From / Input

rad/min

Swap to Revolution/second to Radian/minute

To / Result

rev/s

Quick Values:

Conversion Formula

To convert Radian/minute to Revolution/second, multiply by 0.0026525824

rad/min × 0.0026525824 = rev/s

Calculation: 1 rad/min × 0.0026525824 = 0.0026525824 rev/s

Common Radian/minute to Revolution/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Radian/minute (rad/min) and Revolution/second (rev/s).

Tap any row to calculate

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

Rule: 1 Radian/minute is equal to 0.00265258 rev/s (Revolution/second)

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

Revolution/second to Radian/minute: Reciprocal Summary

Rule: 1 Revolution/second is equal to 376.991118 rad/min (Radian/minute)

Revolution/second to Radian/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/s 376.991118 rad/min	3.77 × 10²
5 rev/s 1884.955592 rad/min	1.885 × 10³
10 rev/s 3769.911184 rad/min	3.77 × 10³
50 rev/s 18849.555922 rad/min	1.885 × 10⁴
100 rev/s 37699.111843 rad/min	3.77 × 10⁴

View Complete 15-Row Revolution/second to Radian/minute 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/minute (rad/min) and Revolution/second (rev/s):

Radian/minute References:

Traditional vinyl LP phonograph record at 33⅓ RPM 3.49 rad/min
Classic fairground Ferris wheel slow passenger rotation 1.2 rad/min

Revolution/second References:

Passenger car alternator rotor shaft speed at engine idle 30 rev/s
Commercial high-speed blender blade rotational speed 350 rev/s
High-speed air-bearing dental drill turbine maximum velocity 6500 rev/s

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

ISQ Dimension: [T⁻¹] Coherent SI Unit: radian per second (rad/s) Classical Mechanics & Dimensional Metrology

How to Convert Radian/minute to Revolution/second

Converting Radian/minute (rad/min) to Revolution/second (rev/s) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Revolution/second is a broader physical scale than Radian/minute, converting from rad/min to rev/s condenses the numerical figure. It takes 376.991118 Radian/minute to equal a single Revolution/second (1 rad/min = 0.00265258 rev/s). To convert any quantity, multiply by 0.00265258 (or divide by 376.991118).

Direct Factor1 rad/min = 0.00265258 rev/s

Inverse Ratio1 rev/s = 376.991118 rad/min

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 (rad/s)) 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/min = 0.0166667 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rev/s = 6.283185 radian per second (rad/s)

Step-by-step substitution for Radian/minute → Revolution/second:V(rev/s) = V(rad/min) × ( 0.0166667 / 6.283185 ) = V(rad/min) × 0.00265258

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

Worked Example

Converting 8 rad/min yields an exact output of 0.0212207 rev/s in Revolution/second. Under higher industrial throughput, 100 rad/min translates to 0.265258 rev/s.

Inverse check: 1 rev/s = 376.991118 rad/min.

Understanding Radian/minute and Revolution/second

Domain Metrology & Engineering Applications

Governing Law & Equation

Rotational Kinematics Relation (ω = dθ/dt)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using optical non-contact tachometers, stroboscopes, and resolver feedback transducers.

Primary Industry Sectors

Applied across electric motor drives, wind turbine generator monitoring, centrifuge engineering, and automotive drivetrains 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 Kinematics Relation (ω = dθ/dt) under ISO 80000 dimensional vector [T⁻¹].

Multi-Variable Engineering Bridge Drivetrain Engineering & Shaft Power

Angular Velocity to Mechanical Power Bridge (Watts • Kilowatts • Horsepower)

Calculate total shaft power output P = τ × ω across standard torque load ratings, bridging rotational velocity [T⁻¹] with power [M L² T⁻³].

Input Rotational Angular Velocity (ω): rad/min

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rad/min at Passenger Car Engine (250 N·m) = 4.1667 W

Equals 0.004167 kW • 4.166667 × 10⁻⁶ MW • 0.005588 hp

SI Power

4.1667

Watts

Grid / Utility

0.004167

Kilowatts

Power Plant

4.166667 × 10⁻⁶

Megawatts

Mechanical Rating

0.005588

Horsepower (Mechanical)

Metric Horsepower

0.005665

Metric Horsepower (PS)

HVAC Thermal Rating

14.22

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rad/min × 0.01666667 = 0.01666667 rad/s
2. Apply Engineering Parameter (τ):
Selected condition: Passenger Car Engine (250 N·m) at τ = 250 N·m
3. Execute Governing Physical Law in SI Units:
P = τ × ω = (0.01666667 rad/s) × (250 N·m) = 4.166667 W
4. Convert to Standard Engineering Units:
• W: 4.166667 × 1 = 4.1667 W (Watts) • kW: 4.166667 × 0.001 = 0.004167 kW (Kilowatts) • MW: 4.166667 × 1 × 10⁻⁶ = 4.166667 × 10⁻⁶ MW (Megawatts) • hp: 4.166667 × 0.001341 = 0.005588 hp (Horsepower (Mechanical)) • PS: 4.166667 × 0.00136 = 0.005665 PS (Metric Horsepower (PS)) • BTU/h: 4.166667 × 3.4121 = 14.22 BTU/h (BTU per Hour)

Explore Full Torque Converter →

Engineering Substance / Operating Standard	Parameter Value (N·m)	Reference State / Condition	Typical Industrial & Engineering Application
Automation Servo Motor (2 N·m)	`2`	2.0 N·m	Packaging & robotics joint servo
Passenger Car Engine (250 N·m)	`250`	250.0 N·m	Typical 2.0L turbo automobile engine
Commercial Diesel Semi Truck (1,200 N·m)	`1200`	1,200 N·m	Heavy freight turbo diesel engine
Marine Propulsion Shaft (25,000 N·m)	`25000`	25,000 N·m	Container vessel direct drive shaft

Frequently Asked Questions

There are exactly 0.0026525824 revolutions/second (rev/s) in 1 radian/minute (rad/min). To calculate larger amounts manually, simply multiply your total number of radians/minute by the conversion multiplier of 0.0026525824.

The mathematical formula to convert radians/minute to revolutions/second is: [value] * 0.0026525824 = revolutions/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/second back to radians/minute, you must divide your starting value by 0.0026525824. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/second input field.

1 Revolution/second is larger than 1 Radian/minute. Specifically, 1 Radian/minute equals 0.0026525824 revolutions/second, meaning 1 Revolution/second is 376.9911 times larger than 1 Radian/minute (a difference of 2.58 orders of magnitude). Expressing measurements in radians/minute requires a larger numerical value to represent the equivalent physical magnitude.

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