Cubic meters per second (m3/s) to Cubic inches per hour (in3/h) conversion

Cubic meters per second to Cubic inches per hour conversion table

Cubic meters per second (m3/s)Cubic inches per hour (in3/h)
00
1219686491.34648
2439372982.69297
3659059474.03945
4878745965.38593
51098432456.7324
61318118948.0789
71537805439.4254
81757491930.7719
91977178422.1184
102196864913.4648
204393729826.9297
306590594740.3945
408787459653.8593
5010984324567.324
6013181189480.789
7015378054394.254
8017574919307.719
9019771784221.184
10021968649134.648
1000219686491346.48

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

Let's explore the conversion between cubic meters per second and cubic inches per hour, and discuss its relevance in practical applications.

Understanding Volume Flow Rate Conversion

Converting between cubic meters per second (m3/sm^3/s) and cubic inches per hour (in3/hrin^3/hr) involves understanding the relationships between metric and imperial units for volume and time. The process essentially consists of converting the volume unit from cubic meters to cubic inches and the time unit from seconds to hours. Because volume is a 3-dimensional quantity, the linear conversion factor needs to be cubed.

Conversion Factors and Formulas

Here are the essential conversion factors needed:

  • 1 meter = 39.37 inches (1 inch ≈ 0.0254 meters)
  • 1 hour = 3600 seconds

To convert m3/sm^3/s to in3/hrin^3/hr, we use the following formula:

Value in in3/hr=Value in m3/s×(39.37)3×3600\text{Value in } in^3/hr = \text{Value in } m^3/s \times (39.37)^3 \times 3600

To convert in3/hrin^3/hr to m3/sm^3/s, we reverse the process:

Value in m3/s=Value in in3/hr÷(39.37)3÷3600\text{Value in } m^3/s = \text{Value in } in^3/hr \div (39.37)^3 \div 3600

Step-by-Step Conversion

Converting 1 m3/sm^3/s to in3/hrin^3/hr

  1. Convert cubic meters to cubic inches:

    Since 1 meter is approximately 39.37 inches, then:

    1m3=(39.37 inches)3=61023.744in31 m^3 = (39.37 \text{ inches})^3 = 61023.744 in^3 (approximately)

  2. Convert seconds to hours:

    Since 1 hour = 3600 seconds, we multiply by 3600 to convert from per second to per hour.

  3. Combine the conversions:

    1m3s=1m3s×61023.744in31m3×3600s1hr=22×107in3hr1 \frac{m^3}{s} = 1 \frac{m^3}{s} \times \frac{61023.744 in^3}{1 m^3} \times \frac{3600 s}{1 hr} = 22 \times 10^7 \frac{in^3}{hr} (approximately)

Therefore, 1 cubic meter per second is approximately 22×10722 \times 10^7 cubic inches per hour.

Converting 1 in3/hrin^3/hr to m3/sm^3/s

  1. Convert cubic inches to cubic meters:

    1in3=(139.37m)3=1.6387×105m31 in^3 = (\frac{1}{39.37} m)^3 = 1.6387 \times 10^{-5} m^3 (approximately)

  2. Convert hours to seconds:

    Since 1 hour = 3600 seconds, we divide by 3600 to convert from per hour to per second.

  3. Combine the conversions:

    1in3hr=1in3hr×1.6387×105m31in3×1hr3600s=4.5519×109m3s1 \frac{in^3}{hr} = 1 \frac{in^3}{hr} \times \frac{1.6387 \times 10^{-5} m^3}{1 in^3} \times \frac{1 hr}{3600 s} = 4.5519 \times 10^{-9} \frac{m^3}{s} (approximately)

Therefore, 1 cubic inch per hour is approximately 4.5519×1094.5519 \times 10^{-9} cubic meters per second.

Relevance and Real-World Examples

Volume flow rate is commonly used in various engineering applications, including:

  • HVAC Systems: Engineers use volume flow rate to design Heating, Ventilation, and Air Conditioning (HVAC) systems. These systems need to deliver a certain volume of air per unit of time to maintain comfortable and healthy indoor environments. Accurate conversion between units is crucial for selecting appropriate equipment sizes and ensuring optimal system performance.
  • Hydraulics: Hydraulic systems use fluid flow to transmit power. Understanding and converting volume flow rates ensures proper system design, component selection, and performance evaluation in hydraulic applications such as industrial machinery, automotive systems, and aerospace engineering.
  • Wastewater Treatment: Wastewater treatment plants manage the flow of water and other liquids through various treatment processes. The volume of wastewater that can be processed in each stage is critical for compliance with environmental regulations.
  • Chemical Engineering: Chemical engineers often deal with the flow of reactants and products in chemical processes. Converting volume flow rates is essential for process design, optimization, and safety considerations.
  • Meteorology: Meterologists use volume flow rate to describe things such as rain water volume and how fast a hurricane moves.

Interesting Facts

  • Archimedes' Principle: While not directly related to unit conversion, Archimedes, a Greek mathematician and inventor, discovered the principle of buoyancy, which is fundamental to understanding fluid displacement and volume. Although he worked with different units, his work laid the groundwork for understanding volume and its properties.

By understanding these conversion factors and their applications, you can accurately convert between cubic meters per second and cubic inches per hour in various engineering and scientific 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 hour 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 hour?

Cubic inches per hour is a unit of volume flow rate. The following sections describe cubic inches per hour in more detail.

Understanding Cubic Inches per Hour

Cubic inches per hour (in$^3$/hr) is a unit used to measure the volume of a substance (liquid or gas) that flows past a certain point in a specific amount of time. It indicates how many cubic inches of a substance move within one hour.

Formation of Cubic Inches per Hour

This unit is derived from two base units:

  • Cubic inch (in$^3$): A unit of volume. It represents the volume of a cube with sides of 1 inch each.
  • Hour (hr): A unit of time.

The unit is formed by dividing a volume expressed in cubic inches by a time expressed in hours, resulting in a rate of flow:

Volume Flow Rate=Volume (in3)Time (hr)\text{Volume Flow Rate} = \frac{\text{Volume (in}^3)}{\text{Time (hr)}}

Applications of Cubic Inches per Hour

Cubic inches per hour is practically used in real-world applications where the measurement of slow, very small volume flow rate is important. The SI unit for Volume flow rate is m3/sm^3/s. Some examples are:

  • Small Engine Fuel Consumption: Measuring the fuel consumption of small engines, such as those in lawnmowers or model airplanes.
  • Medical Devices: Infusion pumps may use this unit to measure how slowly medicine flows into the patient.
  • Hydraulics: Very small scale of hydraulic flow, where precision is needed.
  • 3D Printing: Material extrusion volume in 3D printing, particularly for small-scale or intricate designs.

Conversion to Other Units

Cubic inches per hour can be converted to other units of volume flow rate, such as:

  • Cubic feet per hour (ft$^3$/hr)
  • Gallons per hour (gal/hr)
  • Liters per hour (L/hr)
  • Cubic meters per second (m$^3$/s)

Flow Rate

Flow rate, generally speaking, plays an important role in many different areas of science and engineering. For example, cardiovascular system uses the concept of flow rate to determine blood flow.

For more information check out this wikipedia page

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