Radian/minute to Radian/hour (rad/min to rad/h) Calculator & Formula

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-3:2019 Certified

1 Radian/minute = 60 Radian/hour

1 rad/min = 60 rad/h • 1 rad/h = 0.0166667 rad/min

Decimals:

Certified Authority Value

60.00000000

rad/h

From / Input

rad/min

Swap to Radian/hour to Radian/minute

To / Result

rad/h

Quick Values:

Conversion Formula

To convert Radian/minute to Radian/hour, multiply by 60

rad/min × 60 = rad/h

Calculation: 1 rad/min × 60 = 60 rad/h

Common Radian/minute to Radian/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Radian/minute (rad/min) and Radian/hour (rad/h).

Tap any row to calculate

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

Rule: 1 Radian/minute is equal to 60 rad/h (Radian/hour)

Radian/minute to Radian/hour Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 rad/min 0.06 rad/h	6 × 10⁻²
0.01 rad/min 0.6 rad/h	6 × 10⁻¹
0.1 rad/min 6 rad/h	6 × 10⁰
0.5 rad/min 30 rad/h	3 × 10¹
1 rad/min 60 rad/h	6 × 10¹
2 rad/min 120 rad/h	1.2 × 10²
5 rad/min 300 rad/h	3 × 10²
10 rad/min 600 rad/h	6 × 10²
20 rad/min 1200 rad/h	1.2 × 10³
25 rad/min 1500 rad/h	1.5 × 10³
50 rad/min 3000 rad/h	3 × 10³
100 rad/min 6000 rad/h	6 × 10³
250 rad/min 15000 rad/h	1.5 × 10⁴
500 rad/min 30000 rad/h	3 × 10⁴
1000 rad/min 60000 rad/h	6 × 10⁴

Radian/hour to Radian/minute: Reciprocal Summary

Rule: 1 Radian/hour is equal to 0.0166667 rad/min (Radian/minute)

Radian/hour to Radian/minute Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rad/h 0.0166667 rad/min	1.667 × 10⁻²
5 rad/h 0.0833333 rad/min	8.333 × 10⁻²
10 rad/h 0.166667 rad/min	1.667 × 10⁻¹
50 rad/h 0.833333 rad/min	8.333 × 10⁻¹
100 rad/h 1.666667 rad/min	1.667 × 10⁰

View Complete 15-Row Radian/hour to Radian/minute 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 Radian/minute (rad/min) and Radian/hour (rad/h):

Radian/minute References:

Traditional vinyl LP phonograph record at 33⅓ RPM 3.49 rad/min
Classic fairground Ferris wheel slow passenger rotation 1.2 rad/min

Radian/hour References:

Minute hand on traditional analog clock rotational velocity 6.28 rad/h
Hour hand on traditional analog clock rotational velocity 0.524 rad/h
Earth diurnal axial rotation angular rate (15 degrees/hour) 0.262 rad/h

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

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

How to Convert Radian/minute to Radian/hour

Converting Radian/minute (rad/min) to Radian/hour (rad/h) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Because Radian/minute represents a larger magnitude than Radian/hour, converting from rad/min to rad/h expands the numerical figure. Exactly 1 Radian/minute encompasses 60 Radian/hour. To convert any quantity, multiply the value in Radian/minute by 60.

Direct Factor1 rad/min = 60 rad/h

Inverse Ratio1 rad/h = 0.0166667 rad/min

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 rad/min = 0.0166667 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rad/h = 0.000277778 radian per second (rad/s)

Step-by-step substitution for Radian/minute → Radian/hour:V(rad/h) = V(rad/min) × ( 0.0166667 / 0.000277778 ) = V(rad/min) × 60

Mathematical FormulaValue in Radian/hour = Value in Radian/minute × 60Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Radian/minute (rad/min) produces 7200 Radian/hour (rad/h). In heavy-duty utility and industrial workloads, 1000 rad/min equals 60000 rad/h.

Inverse check: 1 rad/h = 0.0166667 rad/min.

Understanding Radian/minute and Radian/hour

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): rad/min

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 rad/min at Passenger Car Engine (250 N·m) = 4.1667 W

Equals 0.004167 kW • 4.166667 × 10⁻⁶ MW • 0.005588 hp

SI Power

4.1667

Watts

Grid / Utility

0.004167

Kilowatts

Power Plant

4.166667 × 10⁻⁶

Megawatts

Mechanical Rating

0.005588

Horsepower (Mechanical)

Metric Horsepower

0.005665

Metric Horsepower (PS)

HVAC Thermal Rating

14.22

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 rad/min × 0.01666667 = 0.01666667 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 = (0.01666667 rad/s) × (250 N·m) = 4.166667 W
4. Convert to Standard Engineering Units:
• W: 4.166667 × 1 = 4.1667 W (Watts) • kW: 4.166667 × 0.001 = 0.004167 kW (Kilowatts) • MW: 4.166667 × 1 × 10⁻⁶ = 4.166667 × 10⁻⁶ MW (Megawatts) • hp: 4.166667 × 0.001341 = 0.005588 hp (Horsepower (Mechanical)) • PS: 4.166667 × 0.00136 = 0.005665 PS (Metric Horsepower (PS)) • BTU/h: 4.166667 × 3.4121 = 14.22 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 60 radians/hour (rad/h) in 1 radian/minute (rad/min). To calculate larger amounts manually, simply multiply your total number of radians/minute by the conversion multiplier of 60.

The mathematical formula to convert radians/minute to radians/hour is: [value] * 60 = radians/hour. 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/hour back to radians/minute, you must divide your starting value by 60. Our bidirectional tool automatically computes this inverse equation the moment you type into the radian/hour input field.

1 Radian/minute is larger than 1 Radian/hour. Specifically, 1 Radian/minute equals exactly 60 radians/hour, making it 60 times larger (a difference of 1.78 orders of magnitude). Therefore, quantities expressed in radians/hour require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Radian/minute converts to 60 radians/hour. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 60 Radian/hour in one Radian/minute. The mathematical representation is 1 rad/min = 60 rad/h.

To calculate the conversion from Radian/minute to Radian/hour, multiply your measurement by 60. The formula stands as: V(rad/h) = V(rad/min) × 60.

For reversing the units, multiply the Radian/hour metric by 0.0166667. Expressed as an equation: V(rad/min) = V(rad/h) × 0.0166667.

This factor relates strongly to continuous processing lines, where spindle speeds monitored per minute scale directly up to hour-long cycle times for bulk angular displacement tracking.