Cubic meters per second (m3/s) to Cubic inches per minute (in3/min) conversion

Cubic meters per second to Cubic inches per minute conversion table

Cubic meters per second (m3/s)Cubic inches per minute (in3/min)
00
13661441.5224414
27322883.0448828
310984324.567324
414645766.089766
518307207.612207
621968649.134648
725630090.65709
829291532.179531
932952973.701973
1036614415.224414
2073228830.448828
30109843245.67324
40146457660.89766
50183072076.12207
60219686491.34648
70256300906.5709
80292915321.79531
90329529737.01973
100366144152.24414
10003661441522.4414

How to convert cubic meters per second to cubic inches per minute?

To convert cubic meters per second (m³/s) to cubic inches per minute (in³/min), follow these steps:

Conversion Factors:

  1. 1 cubic meter (m³) = 61,023.7441 cubic inches (in³).
  2. 1 second (s) = 60 seconds per minute (min).

Conversion Process:

  1. Convert cubic meters to cubic inches:
    1 m³ = 61,023.7441 in³.

  2. Convert cubic meters per second to cubic meters per minute:
    1 m³/s = 1 m³/s × 60 s/min
    = 60 m³/min.

  3. Finally, convert the volume in cubic meters per minute to cubic inches per minute:
    60 m³/min × 61,023.7441 in³/m³
    = 3,661,424.646 in³/min.

1 m³/s = 3,661,424.646 in³/min.

Real World Examples of Different Flow Rates:

  • 0.01 m³/s (10 liters per second):

    • It's approximately the flow rate of a typical domestic shower.
  • 0.30 m³/s:

    • This could be the flow rate of a medium-sized industrial pump used in manufacturing processes.
  • 1 m³/s:

    • This flow rate might be found in larger municipal water distribution systems, managing the water supply for a small town.
  • 10 m³/s:

    • Often found in larger waterworks systems or in the cooling systems of large industrial facilities like power plants.
  • 100 m³/s:

    • Such high flow rates are observed in significant river flows or the output capacity of major hydroelectric dams.

By understanding these conversion steps and having practical examples, you can better grasp the impact and scope of various flow rates in both engineering and everyday contexts.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Cubic inches per minute to other unit conversions.

What is cubic meters per second?

What is Cubic meters per second?

Cubic meters per second (m3/sm^3/s) is the SI unit for volume flow rate, representing the volume of fluid passing a given point per unit of time. It's a measure of how quickly a volume of fluid is moving.

Understanding Cubic Meters per Second

Definition and Formation

One cubic meter per second is equivalent to a volume of one cubic meter flowing past a point in one second. It is derived from the base SI units of length (meter) and time (second).

Formula and Calculation

The volume flow rate (QQ) can be defined mathematically as:

Q=VtQ = \frac{V}{t}

Where:

  • QQ is the volume flow rate in m3/sm^3/s
  • VV is the volume in m3m^3
  • tt is the time in seconds

Alternatively, if you know the cross-sectional area (AA) of the flow and the average velocity (vv) of the fluid, you can calculate the volume flow rate as:

Q=AvQ = A \cdot v

Where:

  • AA is the cross-sectional area in m2m^2
  • vv is the average velocity in m/sm/s

Relevance and Applications

Relationship with Mass Flow Rate

Volume flow rate is closely related to mass flow rate (m˙\dot{m}), which represents the mass of fluid passing a point per unit of time. The relationship between them is:

m˙=ρQ\dot{m} = \rho \cdot Q

Where:

  • m˙\dot{m} is the mass flow rate in kg/skg/s
  • ρ\rho is the density of the fluid in kg/m3kg/m^3
  • QQ is the volume flow rate in m3/sm^3/s

Real-World Examples

  • Rivers and Streams: Measuring the flow rate of rivers helps hydrologists manage water resources and predict floods. The Amazon River, for example, has an average discharge of about 209,000 m3/sm^3/s.
  • Industrial Processes: Chemical plants and refineries use flow meters to control the rate at which liquids and gases are transferred between tanks and reactors. For instance, controlling the flow rate of reactants in a chemical reactor is crucial for achieving the desired product yield.
  • HVAC Systems: Heating, ventilation, and air conditioning systems use fans and ducts to circulate air. The flow rate of air through these systems is measured in m3/sm^3/s to ensure proper ventilation and temperature control.
  • Water Supply: Municipal water supply systems use pumps to deliver water to homes and businesses. The flow rate of water through these systems is measured in m3/sm^3/s to ensure adequate water pressure and availability.
  • Hydropower: Hydroelectric power plants use the flow of water through turbines to generate electricity. The volume flow rate of water is a key factor in determining the power output of the plant. The Three Gorges Dam for example, diverts over 45,000 m3/sm^3/s during peak flow.

Interesting Facts and Historical Context

While no specific law or famous person is directly linked to the unit itself, the concept of fluid dynamics, which uses volume flow rate extensively, is deeply rooted in the work of scientists and engineers like:

  • Daniel Bernoulli: Known for Bernoulli's principle, which relates the pressure, velocity, and elevation of a fluid in a stream.
  • Osborne Reynolds: Famous for the Reynolds number, a dimensionless quantity used to predict the flow regime (laminar or turbulent) in a fluid.

These concepts form the foundation for understanding and applying volume flow rate in various fields.

What is cubic inches per minute?

What is Cubic Inches per Minute?

Cubic inches per minute (in$^3$/min or CFM) is a unit of measure for volume flow rate. It represents the volume of a substance (typically a gas or liquid) that flows through a given area per minute, with the volume measured in cubic inches. It's a common unit in engineering and manufacturing, especially in the United States.

Understanding Cubic Inches and Volume Flow Rate

Cubic Inches

A cubic inch is a unit of volume equal to the volume of a cube with sides one inch long. It's part of the imperial system of measurement.

Volume Flow Rate

Volume flow rate, generally denoted as QQ, is the volume of fluid which passes per unit time. The SI unit for volume flow rate is cubic meters per second (m3/sm^3/s).

Formation of Cubic Inches per Minute

Cubic inches per minute is formed by combining a unit of volume (cubic inches) with a unit of time (minutes). This describes how many cubic inches of a substance pass a specific point or through a specific area in one minute.

Q=VtQ = \frac{V}{t}

Where:

  • QQ = Volume flow rate (in$^3$/min)
  • VV = Volume (in$^3$)
  • tt = Time (min)

Applications and Examples

Cubic inches per minute is used across various industries. Here are some real-world examples:

  • Automotive: Measuring the air intake of an engine or the flow rate of fuel injectors. For instance, a fuel injector might have a flow rate of 100 in$^3$/min.
  • HVAC (Heating, Ventilation, and Air Conditioning): Specifying the airflow capacity of fans and blowers. A small bathroom fan might move air at a rate of 50 in$^3$/min.
  • Pneumatics: Determining the flow rate of compressed air in pneumatic systems. An air compressor might deliver 500 in$^3$/min of air.
  • Manufacturing: Measuring the flow of liquids in industrial processes, such as coolant flow in machining operations. A coolant pump might have a flow rate of 200 in$^3$/min.
  • 3D Printing: When using liquid resins.

Conversions and Related Units

It's important to understand how cubic inches per minute relates to other units of flow rate:

  • Cubic Feet per Minute (CFM): 1 CFM = 1728 in$^3$/min
  • Liters per Minute (LPM): 1 in$^3$/min ≈ 0.01639 LPM
  • Gallons per Minute (GPM): 1 GPM ≈ 231 in$^3$/min

Interesting Facts

While there's no specific law directly associated with cubic inches per minute itself, the underlying principles of fluid dynamics that govern volume flow rate are described by fundamental laws such as the Navier-Stokes equations. These equations, developed in the 19th century, describe the motion of viscous fluids and are essential for understanding fluid flow in a wide range of applications. For more information you can read about it in the following Navier-Stokes Equations page from NASA.

Complete Cubic meters per second conversion table

Enter # of Cubic meters per second
Convert 1 m3/s to other unitsResult
Cubic meters per second to Cubic Millimeters per second (m3/s to mm3/s)1000000000
Cubic meters per second to Cubic Centimeters per second (m3/s to cm3/s)1000000
Cubic meters per second to Cubic Decimeters per second (m3/s to dm3/s)1000
Cubic meters per second to Cubic Decimeters per minute (m3/s to dm3/min)60000
Cubic meters per second to Cubic Decimeters per hour (m3/s to dm3/h)3600000
Cubic meters per second to Cubic Decimeters per day (m3/s to dm3/d)86400000
Cubic meters per second to Cubic Decimeters per year (m3/s to dm3/a)31557600000
Cubic meters per second to Millilitres per second (m3/s to ml/s)1000000
Cubic meters per second to Centilitres per second (m3/s to cl/s)100000
Cubic meters per second to Decilitres per second (m3/s to dl/s)10000
Cubic meters per second to Litres per second (m3/s to l/s)1000
Cubic meters per second to Litres per minute (m3/s to l/min)60000
Cubic meters per second to Litres per hour (m3/s to l/h)3600000
Cubic meters per second to Litres per day (m3/s to l/d)86400000
Cubic meters per second to Litres per year (m3/s to l/a)31557600000
Cubic meters per second to Kilolitres per second (m3/s to kl/s)1
Cubic meters per second to Kilolitres per minute (m3/s to kl/min)60
Cubic meters per second to Kilolitres per hour (m3/s to kl/h)3600
Cubic meters per second to Cubic meters per minute (m3/s to m3/min)60
Cubic meters per second to Cubic meters per hour (m3/s to m3/h)3600
Cubic meters per second to Cubic meters per day (m3/s to m3/d)86400
Cubic meters per second to Cubic meters per year (m3/s to m3/a)31557600
Cubic meters per second to Cubic kilometers per second (m3/s to km3/s)1e-9
Cubic meters per second to Teaspoons per second (m3/s to tsp/s)202884.1362
Cubic meters per second to Tablespoons per second (m3/s to Tbs/s)67628.0454
Cubic meters per second to Cubic inches per second (m3/s to in3/s)61024.025374023
Cubic meters per second to Cubic inches per minute (m3/s to in3/min)3661441.5224414
Cubic meters per second to Cubic inches per hour (m3/s to in3/h)219686491.34648
Cubic meters per second to Fluid Ounces per second (m3/s to fl-oz/s)33814.0227
Cubic meters per second to Fluid Ounces per minute (m3/s to fl-oz/min)2028841.362
Cubic meters per second to Fluid Ounces per hour (m3/s to fl-oz/h)121730481.72
Cubic meters per second to Cups per second (m3/s to cup/s)4226.7528375
Cubic meters per second to Pints per second (m3/s to pnt/s)2113.37641875
Cubic meters per second to Pints per minute (m3/s to pnt/min)126802.585125
Cubic meters per second to Pints per hour (m3/s to pnt/h)7608155.1075
Cubic meters per second to Quarts per second (m3/s to qt/s)1056.688209375
Cubic meters per second to Gallons per second (m3/s to gal/s)264.17205234375
Cubic meters per second to Gallons per minute (m3/s to gal/min)15850.323140625
Cubic meters per second to Gallons per hour (m3/s to gal/h)951019.3884375
Cubic meters per second to Cubic feet per second (m3/s to ft3/s)35.314684921034
Cubic meters per second to Cubic feet per minute (m3/s to ft3/min)2118.8810952621
Cubic meters per second to Cubic feet per hour (m3/s to ft3/h)127132.86571572
Cubic meters per second to Cubic yards per second (m3/s to yd3/s)1.3079493708587
Cubic meters per second to Cubic yards per minute (m3/s to yd3/min)78.476962251525
Cubic meters per second to Cubic yards per hour (m3/s to yd3/h)4708.6177350915

Volume flow rate conversions