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

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Degree/second = 240 Revolution/day

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

Decimals:

Certified Authority Value

240.00000000

rev/d

From / Input

°/s

Swap to Revolution/day to Degree/second

To / Result

rev/d

Quick Values:

Conversion Formula

To convert Degree/second to Revolution/day, multiply by 240

°/s × 240 = rev/d

Calculation: 1 °/s × 240 = 240 rev/d

Common Degree/second to Revolution/day Calculations

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

Tap any row to calculate

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

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

Degree/second to Revolution/day Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/s 0.24 rev/d	2.4 × 10⁻¹
0.01 °/s 2.4 rev/d	2.4 × 10⁰
0.1 °/s 24 rev/d	2.4 × 10¹
0.5 °/s 120 rev/d	1.2 × 10²
1 °/s 240 rev/d	2.4 × 10²
2 °/s 480 rev/d	4.8 × 10²
5 °/s 1200 rev/d	1.2 × 10³
10 °/s 2400 rev/d	2.4 × 10³
20 °/s 4800 rev/d	4.8 × 10³
25 °/s 6000 rev/d	6 × 10³
50 °/s 12000 rev/d	1.2 × 10⁴
100 °/s 24000 rev/d	2.4 × 10⁴
250 °/s 60000 rev/d	6 × 10⁴
500 °/s 120000 rev/d	1.2 × 10⁵
1000 °/s 240000 rev/d	2.4 × 10⁵

Revolution/day to Degree/second: Reciprocal Summary

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

Revolution/day to Degree/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/d 0.00416667 °/s	4.167 × 10⁻³
5 rev/d 0.0208333 °/s	2.083 × 10⁻²
10 rev/d 0.0416667 °/s	4.167 × 10⁻²
50 rev/d 0.208333 °/s	2.083 × 10⁻¹
100 rev/d 0.416667 °/s	4.167 × 10⁻¹

View Complete 15-Row Revolution/day to Degree/second Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Degree/second (°/s) and Revolution/day (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

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

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

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

How to Convert Degree/second to Revolution/day

Converting Degree/second (°/s) to Revolution/day (rev/d) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Degree/second represents a larger magnitude than Revolution/day, converting from °/s to rev/d expands the numerical figure. Exactly 1 Degree/second encompasses 240 Revolution/day. To convert any quantity, multiply the value in Degree/second by 240.

Direct Factor1 °/s = 240 rev/d

Inverse Ratio1 rev/d = 0.00416667 °/s

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 °/s = 0.0174533 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rev/d = 7.272205 × 10⁻⁵ radian per second (rad/s)

Step-by-step substitution for Degree/second → Revolution/day:V(rev/d) = V(°/s) × ( 0.0174533 / 7.272205 × 10⁻⁵ ) = V(°/s) × 240

Mathematical FormulaValue in Revolution/day = Value in Degree/second × 240Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Degree/second (°/s) produces 28800 Revolution/day (rev/d). In heavy-duty utility and industrial workloads, 2500 °/s equals 600000 rev/d.

Inverse check: 1 rev/d = 0.00416667 °/s.

Understanding Degree/second and Revolution/day

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): °/s

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 °/s at Passenger Car Engine (250 N·m) = 4.3633 W

Equals 0.004363 kW • 4.363323 × 10⁻⁶ MW • 0.005851 hp

SI Power

4.3633

Watts

Grid / Utility

0.004363

Kilowatts

Power Plant

4.363323 × 10⁻⁶

Megawatts

Mechanical Rating

0.005851

Horsepower (Mechanical)

Metric Horsepower

0.005932

Metric Horsepower (PS)

HVAC Thermal Rating

14.89

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 °/s × 0.01745329 = 0.01745329 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 = (0.01745329 rad/s) × (250 N·m) = 4.363323 W
4. Convert to Standard Engineering Units:
• W: 4.363323 × 1 = 4.3633 W (Watts) • kW: 4.363323 × 0.001 = 0.004363 kW (Kilowatts) • MW: 4.363323 × 1 × 10⁻⁶ = 4.363323 × 10⁻⁶ MW (Megawatts) • hp: 4.363323 × 0.001341 = 0.005851 hp (Horsepower (Mechanical)) • PS: 4.363323 × 0.00136 = 0.005932 PS (Metric Horsepower (PS)) • BTU/h: 4.363323 × 3.4121 = 14.89 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 240 revolutions/day (rev/d) in 1 degree/second (°/s). To calculate larger amounts manually, simply multiply your total number of degrees/second by the conversion multiplier of 240.

The mathematical formula to convert degrees/second to revolutions/day is: [value] * 240 = revolutions/day. 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/day back to degrees/second, you must divide your starting value by 240. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/day input field.

1 Degree/second is larger than 1 Revolution/day. Specifically, 1 Degree/second equals exactly 240 revolutions/day, making it 240 times larger (a difference of 2.38 orders of magnitude). Therefore, quantities expressed in revolutions/day require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Degree/second converts to 240 revolutions/day. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.