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Revolutions/minute to Revolutions/second Converter (rpm to rev/s)

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Live Conversion • ISO 80000-3:2019 Certified
1 Revolution/minute = 0.016666667 Revolution/second
1 rpm = 0.0166667 rev/s • 1 rev/s = 60 rpm
Revolution/minute to Revolution/second: One Revolution/minute is equal to 0.016666667 Revolutions/second.
Certified Authority Value
0.01666667
rev/s
Exact: 1 rev/s ≡ 60 rpm
rpm
rpm
rev/s
rev/s 0.016666667
Quick Values:
Conversion Formula
To convert Revolution/minute to Revolution/second, multiply by 0.016666667
rpm × 0.016666667 = rev/s

Calculation: 1 rpm × 0.016666667 = 0.016666667 rev/s

Common Revolution/minute to Revolution/second Calculations

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

Tap any row to calculate
Revolution/minute to Revolution/second: Primary Direct Table (15 Steps)
Revolution/minute to Revolution/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 rpm 1.666667 × 10⁻⁵ rev/s 1.667 × 10⁻⁵
0.01 rpm 0.000166667 rev/s 1.667 × 10⁻⁴
0.1 rpm 0.00166667 rev/s 1.667 × 10⁻³
0.5 rpm 0.00833333 rev/s 8.333 × 10⁻³
1 rpm 0.0166667 rev/s 1.667 × 10⁻²
2 rpm 0.0333333 rev/s 3.333 × 10⁻²
5 rpm 0.0833333 rev/s 8.333 × 10⁻²
10 rpm 0.166667 rev/s 1.667 × 10⁻¹
20 rpm 0.333333 rev/s 3.333 × 10⁻¹
25 rpm 0.416667 rev/s 4.167 × 10⁻¹
50 rpm 0.833333 rev/s 8.333 × 10⁻¹
100 rpm 1.666667 rev/s 1.667 × 10⁰
250 rpm 4.166667 rev/s 4.167 × 10⁰
500 rpm 8.333333 rev/s 8.333 × 10⁰
1000 rpm 16.666667 rev/s 1.667 × 10¹
Revolution/second to Revolution/minute: Reciprocal Summary
Revolution/second to Revolution/minute Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 rev/s 60 rpm 6 × 10¹
5 rev/s 300 rpm 3 × 10²
10 rev/s 600 rpm 6 × 10²
50 rev/s 3000 rpm 3 × 10³
100 rev/s 6000 rpm 6 × 10³

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 Revolution/minute (rpm) and Revolution/second (rev/s):

Revolution/minute References:

  • Standard 12-inch vinyl LP record phonograph playback turntable speed 33.3 rpm
  • Standard 7-inch vinyl single record phonograph playback speed 45 rpm
  • Passenger car gasoline engine steady idling rotation speed 750 rpm
  • Desktop computer high-airflow cooling fan maximum speed 2000 rpm
  • High-speed dental clinic air turbine drill rotation speed 350000 rpm

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

How to Convert Revolution/minute to Revolution/second

Converting Revolution/minute (rpm) 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 Revolution/minute, converting from rpm to rev/s condenses the numerical figure. It takes 60 Revolution/minute to equal a single Revolution/second (1 rpm = 0.0166667 rev/s). To convert any quantity, multiply by 0.0166667 (or divide by 60).

Direct Factor1 rpm = 0.0166667 rev/s
Inverse Ratio1 rev/s = 60 rpm
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:

Vtarget=Vsource×(ksource→SIktarget→SI)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 (ksource):1 rpm = 0.10472 radian per second (rad/s)
2. Target SI Bridge (ktarget):1 rev/s = 6.283185 radian per second (rad/s)
Step-by-step substitution for Revolution/minute → Revolution/second:V(rev/s) = V(rpm) × ( 0.10472 / 6.283185 ) = V(rpm) × 0.0166667
Mathematical FormulaValue in Revolution/second = Value in Revolution/minute × 0.016666667Direct computational formula applied for standard conversion.
Worked Example

Converting 250 rpm yields an exact output of 4.166667 rev/s in Revolution/second. Under higher industrial throughput, 10000 rpm translates to 166.666667 rev/s.

Inverse check: 1 rev/s = 60 rpm.

Understanding Revolution/minute and Revolution/second

Revolution/minute

rpm
Standard Unit

A Revolution/minute (rpm) is a recognized unit for angular velocity.

Applications & Practical Context

In practical velocity angular terms, a standard 12-inch vinyl LP record phonograph playback turntable speed equals 33.3 rpm, a standard 7-inch vinyl single record phonograph playback speed equals 45 rpm, a passenger car gasoline engine steady idling rotation speed equals 750 rpm.

Physical Setup

A physical magnitude of 1 rpm corresponds to 0.10472 rad/s in standard SI measurement.

Conversion to SI Unit: radian per second (rad/s)
1 rpm = 0.10472 rad/s

Revolution/second

rev/s
Standard Unit

A Revolution/second (rev/s) is a recognized unit for angular velocity.

Applications & Practical Context

In practical velocity angular terms, a passenger car alternator rotor shaft speed at engine idle equals 30 rev/s, a commercial high-speed blender blade rotational speed equals 350 rev/s, a high-speed air-bearing dental drill turbine maximum velocity equals 6500 rev/s.

Physical Setup

A physical magnitude of 1 rev/s corresponds to 6.283185 rad/s in standard SI measurement.

Conversion to SI Unit: radian per second (rad/s)
1 rev/s = 6.283185 rad/s

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].

P = τ × ω
Vector: [rad/s] × [N·m] → [W]
Live Calculated Bridge Equivalent:
1 rpm at Passenger Car Engine (250 N·m) = 26.1799 W
Equals 0.02618 kW • 2.617994 × 10⁻⁵ MW • 0.03511 hp
SI Power
26.1799
W
Watts
Grid / Utility
0.02618
kW
Kilowatts
Power Plant
2.617994 × 10⁻⁵
MW
Megawatts
Mechanical Rating
0.03511
hp
Horsepower (Mechanical)
Metric Horsepower
0.03559
PS
Metric Horsepower (PS)
HVAC Thermal Rating
89.33
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (rad/s):
    ω = 1 rpm × 0.10471976 = 0.10471976 rad/s
  2. 2. Apply Engineering Parameter (τ):
    Selected condition: Passenger Car Engine (250 N·m) at τ = 250 N·m
  3. 3. Execute Governing Physical Law in SI Units:
    P = τ × ω = (0.10471976 rad/s) × (250 N·m) = 26.179939 W
  4. 4. Convert to Standard Engineering Units:
    • W: 26.179939 × 1 = 26.1799 W (Watts) • kW: 26.179939 × 0.001 = 0.02618 kW (Kilowatts) • MW: 26.179939 × 1 × 10⁻⁶ = 2.617994 × 10⁻⁵ MW (Megawatts) • hp: 26.179939 × 0.001341 = 0.03511 hp (Horsepower (Mechanical)) • PS: 26.179939 × 0.00136 = 0.03559 PS (Metric Horsepower (PS)) • BTU/h: 26.179939 × 3.4121 = 89.33 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
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Frequently Asked Questions

There are exactly 0.016666667 revolutions/second (rev/s) in 1 revolution/minute (rpm). To calculate larger amounts manually, simply multiply your total number of revolutions/minute by the conversion multiplier of 0.016666667.

The mathematical formula to convert revolutions/minute to revolutions/second is: [value] * 0.016666667 = 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 revolutions/minute, you must divide your starting value by 0.016666667. 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 Revolution/minute. Specifically, 1 Revolution/minute equals 0.016666667 revolutions/second, meaning 1 Revolution/second is 60 times larger than 1 Revolution/minute (a difference of 1.78 orders of magnitude). Expressing measurements in revolutions/minute requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Revolution/minute converts to 0.016666667 revolutions/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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