Revolutions/day to Degrees/second Converter (rev/d to °/s)

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Live Conversion • ISO 80000-3:2019 Certified

1 Revolution/day = 0.0041666667 Degree/second

1 rev/d = 0.00416667 °/s • 1 °/s = 240 rev/d

Decimals:

Certified Authority Value

0.00416667

°/s

From / Input

rev/d

Swap to Degree/second to Revolution/day

To / Result

°/s

Quick Values:

Conversion Formula

To convert Revolution/day to Degree/second, multiply by 0.0041666667

rev/d × 0.0041666667 = °/s

Calculation: 1 rev/d × 0.0041666667 = 0.0041666667 °/s

Common Revolution/day to Degree/second Calculations

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

Tap any row to calculate

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

Rule: 1 Revolution/day is equal to 0.00416667 °/s (Degree/second)

Revolution/day to Degree/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rev/d 4.166667 × 10⁻⁶ °/s	4.167 × 10⁻⁶
0.01 rev/d 4.166667 × 10⁻⁵ °/s	4.167 × 10⁻⁵
0.1 rev/d 0.000416667 °/s	4.167 × 10⁻⁴
0.5 rev/d 0.00208333 °/s	2.083 × 10⁻³
1 rev/d 0.00416667 °/s	4.167 × 10⁻³
2 rev/d 0.00833333 °/s	8.333 × 10⁻³
5 rev/d 0.0208333 °/s	2.083 × 10⁻²
10 rev/d 0.0416667 °/s	4.167 × 10⁻²
20 rev/d 0.0833333 °/s	8.333 × 10⁻²
25 rev/d 0.104167 °/s	1.042 × 10⁻¹
50 rev/d 0.208333 °/s	2.083 × 10⁻¹
100 rev/d 0.416667 °/s	4.167 × 10⁻¹
250 rev/d 1.041667 °/s	1.042 × 10⁰
500 rev/d 2.083333 °/s	2.083 × 10⁰
1000 rev/d 4.166667 °/s	4.167 × 10⁰

Degree/second to Revolution/day: Reciprocal Summary

Rule: 1 Degree/second is equal to 240 rev/d (Revolution/day)

Degree/second to Revolution/day Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 °/s 240 rev/d	2.4 × 10²
5 °/s 1200 rev/d	1.2 × 10³
10 °/s 2400 rev/d	2.4 × 10³
50 °/s 12000 rev/d	1.2 × 10⁴
100 °/s 24000 rev/d	2.4 × 10⁴

View Complete 15-Row Degree/second to Revolution/day 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/day (rev/d) and Degree/second (°/s):

Revolution/day References:

Earth diurnal rotation cycle relative to celestial background 1 rev/d
International Space Station ISS low Earth orbits per day 15.5 rev/d
Geostationary communications satellite orbital revolution rate 1 rev/d

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/day to Degree/second

Converting Revolution/day (rev/d) 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 Degree/second is a broader physical scale than Revolution/day, converting from rev/d to °/s condenses the numerical figure. It takes 240 Revolution/day to equal a single Degree/second (1 rev/d = 0.00416667 °/s). To convert any quantity, multiply by 0.00416667 (or divide by 240).

Direct Factor1 rev/d = 0.00416667 °/s

Inverse Ratio1 °/s = 240 rev/d

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 rev/d = 7.272205 × 10⁻⁵ 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/day → Degree/second:V(°/s) = V(rev/d) × ( 7.272205 × 10⁻⁵ / 0.0174533 ) = V(rev/d) × 0.00416667

Mathematical FormulaValue in Degree/second = Value in Revolution/day × 0.0041666667Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 250 rev/d, applying the conversion factor yields exactly 1.041667 °/s. At larger operational scale, 240 Revolution/day corresponds to 1 °/s.

Inverse check: 1 °/s = 240 rev/d.

Understanding Revolution/day 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): rev/d

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rev/d at Passenger Car Engine (250 N·m) = 0.01818 W

Equals 1.8181 × 10⁻⁵ kW • 1.818051 × 10⁻⁸ MW • 2.438 × 10⁻⁵ hp

SI Power

0.01818

Watts

Grid / Utility

1.8181 × 10⁻⁵

Kilowatts

Power Plant

1.818051 × 10⁻⁸

Megawatts

Mechanical Rating

2.438 × 10⁻⁵

Horsepower (Mechanical)

Metric Horsepower

2.4719 × 10⁻⁵

Metric Horsepower (PS)

HVAC Thermal Rating

0.062

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rev/d × 7.27220522 × 10⁻⁵ = 7.27220522 × 10⁻⁵ 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 = (7.27220522 × 10⁻⁵ rad/s) × (250 N·m) = 0.0181805 W
4. Convert to Standard Engineering Units:
• W: 0.0181805 × 1 = 0.01818 W (Watts) • kW: 0.0181805 × 0.001 = 1.8181 × 10⁻⁵ kW (Kilowatts) • MW: 0.0181805 × 1 × 10⁻⁶ = 1.818051 × 10⁻⁸ MW (Megawatts) • hp: 0.0181805 × 0.001341 = 2.438 × 10⁻⁵ hp (Horsepower (Mechanical)) • PS: 0.0181805 × 0.00136 = 2.4719 × 10⁻⁵ PS (Metric Horsepower (PS)) • BTU/h: 0.0181805 × 3.4121 = 0.062 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 0.0041666667 degrees/second (°/s) in 1 revolution/day (rev/d). To calculate larger amounts manually, simply multiply your total number of revolutions/day by the conversion multiplier of 0.0041666667.

The mathematical formula to convert revolutions/day to degrees/second is: [value] * 0.0041666667 = 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/day, you must divide your starting value by 0.0041666667. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree/second input field.

1 Degree/second is larger than 1 Revolution/day. Specifically, 1 Revolution/day equals 0.0041666667 degrees/second, meaning 1 Degree/second is 240 times larger than 1 Revolution/day (a difference of 2.38 orders of magnitude). Expressing measurements in revolutions/day requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Revolution/day converts to 0.0041666667 degrees/second. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.