Revolutions/minute to Degrees/second Converter (rpm to °/s)

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Live Conversion • ISO 80000-3:2019 Certified

1 Revolution/minute = 6 Degree/second

1 rpm = 6 °/s • 1 °/s = 0.166667 rpm

Decimals:

Certified Authority Value

6.00000000

°/s

From / Input

rpm

Swap to Degree/second to Revolution/minute

To / Result

°/s

Quick Values:

Conversion Formula

To convert Revolution/minute to Degree/second, multiply by 6

rpm × 6 = °/s

Calculation: 1 rpm × 6 = 6 °/s

Common Revolution/minute to Degree/second Calculations

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

Tap any row to calculate

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

Rule: 1 Revolution/minute is equal to 6 °/s (Degree/second)

Revolution/minute to Degree/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rpm 0.006 °/s	6 × 10⁻³
0.01 rpm 0.06 °/s	6 × 10⁻²
0.1 rpm 0.6 °/s	6 × 10⁻¹
0.5 rpm 3 °/s	3 × 10⁰
1 rpm 6 °/s	6 × 10⁰
2 rpm 12 °/s	1.2 × 10¹
5 rpm 30 °/s	3 × 10¹
10 rpm 60 °/s	6 × 10¹
20 rpm 120 °/s	1.2 × 10²
25 rpm 150 °/s	1.5 × 10²
50 rpm 300 °/s	3 × 10²
100 rpm 600 °/s	6 × 10²
250 rpm 1500 °/s	1.5 × 10³
500 rpm 3000 °/s	3 × 10³
1000 rpm 6000 °/s	6 × 10³

Degree/second to Revolution/minute: Reciprocal Summary

Rule: 1 Degree/second is equal to 0.166667 rpm (Revolution/minute)

Degree/second to Revolution/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 °/s 0.166667 rpm	1.667 × 10⁻¹
5 °/s 0.833333 rpm	8.333 × 10⁻¹
10 °/s 1.666667 rpm	1.667 × 10⁰
50 °/s 8.333333 rpm	8.333 × 10⁰
100 °/s 16.666667 rpm	1.667 × 10¹

View Complete 15-Row Degree/second to Revolution/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 Revolution/minute (rpm) and Degree/second (°/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

Degree/second References:

Second hand movement rate on standard analog clock 6 °/s
Human smooth pursuit eye tracking maximum visual velocity 30 °/s
Aerobatic competition stunt airplane maximum roll rate 360 °/s

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

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

How to Convert Revolution/minute to Degree/second

Converting Revolution/minute (rpm) to Degree/second (°/s) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Revolution/minute represents a larger magnitude than Degree/second, converting from rpm to °/s expands the numerical figure. Exactly 1 Revolution/minute encompasses 6 Degree/second. To convert any quantity, multiply the value in Revolution/minute by 6.

Direct Factor1 rpm = 6 °/s

Inverse Ratio1 °/s = 0.166667 rpm

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 (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 rpm = 0.10472 radian per second (rad/s)

2. Target SI Bridge (k_target):1 °/s = 0.0174533 radian per second (rad/s)

Step-by-step substitution for Revolution/minute → Degree/second:V(°/s) = V(rpm) × ( 0.10472 / 0.0174533 ) = V(rpm) × 6

Mathematical FormulaValue in Degree/second = Value in Revolution/minute × 6Direct computational formula applied for standard conversion.

Worked Example

To convert 24 Revolution/minute (rpm) to Degree/second (°/s): multiply 24 by 6 to get 144 °/s. At an industrial engineering scale, 480 rpm converts to 2880 °/s.

Inverse check: 1 °/s = 0.166667 rpm.

Understanding Revolution/minute and Degree/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): rpm

Select Applied Shaft Torque: 250 N·m

Governing Law: 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

Watts

Grid / Utility

0.02618

Kilowatts

Power Plant

2.617994 × 10⁻⁵

Megawatts

Mechanical Rating

0.03511

Horsepower (Mechanical)

Metric Horsepower

0.03559

Metric Horsepower (PS)

HVAC Thermal Rating

89.33

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rpm × 0.10471976 = 0.10471976 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 = (0.10471976 rad/s) × (250 N·m) = 26.179939 W
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

Frequently Asked Questions

There are exactly 6 degrees/second (°/s) in 1 revolution/minute (rpm). To calculate larger amounts manually, simply multiply your total number of revolutions/minute by the conversion multiplier of 6.

The mathematical formula to convert revolutions/minute to degrees/second is: [value] * 6 = degrees/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 degrees/second back to revolutions/minute, you must divide your starting value by 6. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree/second input field.

1 Revolution/minute is larger than 1 Degree/second. Specifically, 1 Revolution/minute equals exactly 6 degrees/second, making it 6 times larger (a difference of 0.78 orders of magnitude). Therefore, quantities expressed in degrees/second require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Revolution/minute converts to 6 degrees/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.