Revolutions/hour to Radians/day Converter (rev/h to rad/d)

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Revolution/hour = 150.79644737 Radian/day

1 rev/h = 150.796447 rad/d • 1 rad/d = 0.00663146 rev/h

Decimals:

Certified Authority Value

150.79644737

rad/d

From / Input

rev/h

Swap to Radian/day to Revolution/hour

To / Result

rad/d

Quick Values:

Conversion Formula

To convert Revolution/hour to Radian/day, multiply by 150.79644737

rev/h × 150.79644737 = rad/d

Calculation: 1 rev/h × 150.79644737 = 150.79644737 rad/d

Common Revolution/hour to Radian/day Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Revolution/hour (rev/h) and Radian/day (rad/d).

Tap any row to calculate

Revolution/hour to Radian/day: Primary Direct Table (15 Steps)

Rule: 1 Revolution/hour is equal to 150.796447 rad/d (Radian/day)

Revolution/hour to Radian/day Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rev/h 0.150796 rad/d	1.508 × 10⁻¹
0.01 rev/h 1.507964 rad/d	1.508 × 10⁰
0.1 rev/h 15.079645 rad/d	1.508 × 10¹
0.5 rev/h 75.398224 rad/d	7.54 × 10¹
1 rev/h 150.796447 rad/d	1.508 × 10²
2 rev/h 301.592895 rad/d	3.016 × 10²
5 rev/h 753.982237 rad/d	7.54 × 10²
10 rev/h 1507.964474 rad/d	1.508 × 10³
20 rev/h 3015.928947 rad/d	3.016 × 10³
25 rev/h 3769.911184 rad/d	3.77 × 10³
50 rev/h 7539.822369 rad/d	7.54 × 10³
100 rev/h 15079.644737 rad/d	1.508 × 10⁴
250 rev/h 37699.111843 rad/d	3.77 × 10⁴
500 rev/h 75398.223686 rad/d	7.54 × 10⁴
1000 rev/h 150796.447372 rad/d	1.508 × 10⁵

Radian/day to Revolution/hour: Reciprocal Summary

Rule: 1 Radian/day is equal to 0.00663146 rev/h (Revolution/hour)

Radian/day to Revolution/hour Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/d 0.00663146 rev/h	6.631 × 10⁻³
5 rad/d 0.0331573 rev/h	3.316 × 10⁻²
10 rad/d 0.0663146 rev/h	6.631 × 10⁻²
50 rad/d 0.331573 rev/h	3.316 × 10⁻¹
100 rad/d 0.663146 rev/h	6.631 × 10⁻¹

View Complete 15-Row Radian/day to Revolution/hour 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 Revolution/hour (rev/h) and Radian/day (rad/d):

Revolution/hour References:

Analog clock minute hand complete revolutions per hour 1 rev/h
London Eye passenger observation wheel rotation rate 2 rev/h

Radian/day References:

Earth axial rotation angular velocity (one full turn) 6.28 rad/d
Moon synchronous orbital angular speed around Earth 0.23 rad/d

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

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

How to Convert Revolution/hour to Radian/day

Converting Revolution/hour (rev/h) to Radian/day (rad/d) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Revolution/hour represents a larger magnitude than Radian/day, converting from rev/h to rad/d expands the numerical figure. Exactly 1 Revolution/hour encompasses 150.796447 Radian/day. To convert any quantity, multiply the value in Revolution/hour by 150.796447.

Direct Factor1 rev/h = 150.796447 rad/d

Inverse Ratio1 rad/d = 0.00663146 rev/h

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 rev/h = 0.00174533 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rad/d = 1.157407 × 10⁻⁵ radian per second (rad/s)

Step-by-step substitution for Revolution/hour → Radian/day:V(rad/d) = V(rev/h) × ( 0.00174533 / 1.157407 × 10⁻⁵ ) = V(rev/h) × 150.796447

Mathematical FormulaValue in Radian/day = Value in Revolution/hour × 150.79644737Direct computational formula applied for standard conversion.

Worked Example

To convert 50 Revolution/hour (rev/h) to Radian/day (rad/d): multiply 50 by 150.796447 to get 7539.822369 rad/d. At an industrial engineering scale, 1000 rev/h converts to 150796.447372 rad/d.

Inverse check: 1 rad/d = 0.00663146 rev/h.

Understanding Revolution/hour and Radian/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): rev/h

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rev/h at Passenger Car Engine (250 N·m) = 0.4363 W

Equals 0.0004363 kW • 4.363323 × 10⁻⁷ MW • 0.0005851 hp

SI Power

0.4363

Watts

Grid / Utility

0.0004363

Kilowatts

Power Plant

4.363323 × 10⁻⁷

Megawatts

Mechanical Rating

0.0005851

Horsepower (Mechanical)

Metric Horsepower

0.0005932

Metric Horsepower (PS)

HVAC Thermal Rating

1.49

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/h × 0.00174533 = 0.00174533 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 = (0.00174533 rad/s) × (250 N·m) = 0.436332 W
4. Convert to Standard Engineering Units:
• W: 0.436332 × 1 = 0.4363 W (Watts) • kW: 0.436332 × 0.001 = 0.0004363 kW (Kilowatts) • MW: 0.436332 × 1 × 10⁻⁶ = 4.363323 × 10⁻⁷ MW (Megawatts) • hp: 0.436332 × 0.001341 = 0.0005851 hp (Horsepower (Mechanical)) • PS: 0.436332 × 0.00136 = 0.0005932 PS (Metric Horsepower (PS)) • BTU/h: 0.436332 × 3.4121 = 1.49 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 150.79644737 radians/day (rad/d) in 1 revolution/hour (rev/h). To calculate larger amounts manually, simply multiply your total number of revolutions/hour by the conversion multiplier of 150.79644737.

The mathematical formula to convert revolutions/hour to radians/day is: [value] * 150.79644737 = radians/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 radians/day back to revolutions/hour, you must divide your starting value by 150.79644737. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/day input field.

1 Revolution/hour is larger than 1 Radian/day. Specifically, 1 Revolution/hour equals exactly 150.79644737 radians/day, making it 150.7964 times larger (a difference of 2.18 orders of magnitude). Therefore, quantities expressed in radians/day require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Revolution/hour converts to 150.79644737 radians/day. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.