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Degrees/second to Degrees/minute Converter (°/s to °/min)

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Live Conversion • ISO 80000-3:2019 Certified
1 Degree/second = 60 Degree/minute
1 °/s = 60 °/min • 1 °/min = 0.0166667 °/s
Degree/second to Degree/minute: One Degree/second is equal to 60 Degrees/minute.
Certified Authority Value
60.00000000
°/min
Exact: 1 °/min ≡ 0.01666666667 °/s
°/s
°/s
°/min
°/min 60
Quick Values:
Conversion Formula
To convert Degree/second to Degree/minute, multiply by 60
°/s × 60 = °/min

Calculation: 1 °/s × 60 = 60 °/min

Common Degree/second to Degree/minute Calculations

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

Tap any row to calculate
Degree/second to Degree/minute: Primary Direct Table (15 Steps)
Degree/second to Degree/minute Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 °/s 0.06 °/min 6 × 10⁻²
0.01 °/s 0.6 °/min 6 × 10⁻¹
0.1 °/s 6 °/min 6 × 10⁰
0.5 °/s 30 °/min 3 × 10¹
1 °/s 60 °/min 6 × 10¹
2 °/s 120 °/min 1.2 × 10²
5 °/s 300 °/min 3 × 10²
10 °/s 600 °/min 6 × 10²
20 °/s 1200 °/min 1.2 × 10³
25 °/s 1500 °/min 1.5 × 10³
50 °/s 3000 °/min 3 × 10³
100 °/s 6000 °/min 6 × 10³
250 °/s 15000 °/min 1.5 × 10⁴
500 °/s 30000 °/min 3 × 10⁴
1000 °/s 60000 °/min 6 × 10⁴
Degree/minute to Degree/second: Reciprocal Summary
Degree/minute to Degree/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 °/min 0.0166667 °/s 1.667 × 10⁻²
5 °/min 0.0833333 °/s 8.333 × 10⁻²
10 °/min 0.166667 °/s 1.667 × 10⁻¹
50 °/min 0.833333 °/s 8.333 × 10⁻¹
100 °/min 1.666667 °/s 1.667 × 10⁰

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 Degree/second (°/s) and Degree/minute (°/min):

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

Degree/minute References:

  • Second hand speed on standard mechanical sweep clock 360 °/min
  • Passenger observation wheel scenic rotation speed 72 °/min
ISQ Dimension: [T⁻¹] Coherent SI Unit: radian per second (rad/s) Classical Mechanics & Dimensional Metrology

How to Convert Degree/second to Degree/minute

Converting Degree/second (°/s) to Degree/minute (°/min) 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 Degree/minute, converting from °/s to °/min expands the numerical figure. Exactly 1 Degree/second encompasses 60 Degree/minute. To convert any quantity, multiply the value in Degree/second by 60.

Direct Factor1 °/s = 60 °/min
Inverse Ratio1 °/min = 0.0166667 °/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:

Vtarget=Vsource×(ksource→SIktarget→SI)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 (ksource):1 °/s = 0.0174533 radian per second (rad/s)
2. Target SI Bridge (ktarget):1 °/min = 0.000290888 radian per second (rad/s)
Step-by-step substitution for Degree/second → Degree/minute:V(°/min) = V(°/s) × ( 0.0174533 / 0.000290888 ) = V(°/s) × 60
Mathematical FormulaValue in Degree/minute = Value in Degree/second × 60Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 36 °/s, applying the conversion factor yields exactly 2160 °/min. At larger operational scale, 5000 Degree/second corresponds to 300000 °/min.

Inverse check: 1 °/min = 0.0166667 °/s.

Understanding Degree/second and Degree/minute

Degree/second

°/s
Standard Unit

A Degree/second (°/s) is a recognized unit for angular velocity.

Applications & Practical Context

In practical velocity angular terms, a second hand movement rate on standard analog clock equals 6 °/s, a human smooth pursuit eye tracking maximum visual velocity equals 30 °/s, a aerobatic competition stunt airplane maximum roll rate equals 360 °/s.

Physical Setup

A physical magnitude of 1 °/s corresponds to 0.0174533 rad/s in standard SI measurement.

Conversion to SI Unit: radian per second (rad/s)
1 °/s = 0.0174533 rad/s

Degree/minute

°/min
Standard Unit

A Degree/minute (°/min) is a recognized unit for angular velocity.

Applications & Practical Context

In practical velocity angular terms, a second hand speed on standard mechanical sweep clock equals 360 °/min, a passenger observation wheel scenic rotation speed equals 72 °/min.

Physical Setup

A physical magnitude of 1 °/min corresponds to 0.000290888 rad/s in standard SI measurement.

Conversion to SI Unit: radian per second (rad/s)
1 °/min = 0.000290888 rad/s

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].

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
W
Watts
Grid / Utility
0.004363
kW
Kilowatts
Power Plant
4.363323 × 10⁻⁶
MW
Megawatts
Mechanical Rating
0.005851
hp
Horsepower (Mechanical)
Metric Horsepower
0.005932
PS
Metric Horsepower (PS)
HVAC Thermal Rating
14.89
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (rad/s):
    ω = 1 °/s × 0.01745329 = 0.01745329 rad/s
  2. 2. Apply Engineering Parameter (τ):
    Selected condition: Passenger Car Engine (250 N·m) at τ = 250 N·m
  3. 3. Execute Governing Physical Law in SI Units:
    P = τ × ω = (0.01745329 rad/s) × (250 N·m) = 4.363323 W
  4. 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
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Frequently Asked Questions

There are exactly 60 degrees/minute (°/min) in 1 degree/second (°/s). To calculate larger amounts manually, simply multiply your total number of degrees/second by the conversion multiplier of 60.

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

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

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

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