Cubic meters per second (m3/s) to Gallons per hour (gal/h) conversion

Cubic meters per second to Gallons per hour conversion table

Cubic meters per second (m3/s)Gallons per hour (gal/h)
00
1951019.3884375
21902038.776875
32853058.1653125
43804077.55375
54755096.9421875
65706116.330625
76657135.7190625
87608155.1075
98559174.4959375
109510193.884375
2019020387.76875
3028530581.653125
4038040775.5375
5047550969.421875
6057061163.30625
7066571357.190625
8076081551.075
9085591744.959375
10095101938.84375
1000951019388.4375

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

Converting between cubic meters per second (m3/sm^3/s) and gallons per hour (gal/hr) involves understanding the relationship between metric and imperial units of volume and time. This conversion is commonly encountered in fields like fluid mechanics, environmental engineering, and industrial processes.

Conversion Factors

To convert cubic meters per second to gallons per hour, you need two primary conversion factors:

  1. Cubic meters to gallons: 1m3264.1721 m^3 \approx 264.172 US gallons
  2. Seconds to hours: 1hour=3600seconds1 hour = 3600 seconds

Converting Cubic Meters per Second to Gallons per Hour

Step-by-Step Conversion

To convert 1 cubic meter per second to gallons per hour:

  1. Convert cubic meters to gallons:

    1m3/s×264.172gallonsm3=264.172gallonss1 m^3/s \times 264.172 \frac{gallons}{m^3} = 264.172 \frac{gallons}{s}

  2. Convert seconds to hours:

    264.172gallonss×3600shour=941,019.2gallonshour264.172 \frac{gallons}{s} \times 3600 \frac{s}{hour} = 941,019.2 \frac{gallons}{hour}

Therefore, 1 cubic meter per second is approximately 941,019.2 gallons per hour.

Formula

The conversion formula can be expressed as:

Gallons per hour=Cubic meters per second×264.172×3600\text{Gallons per hour} = \text{Cubic meters per second} \times 264.172 \times 3600

Converting Gallons per Hour to Cubic Meters per Second

Step-by-Step Conversion

To convert 1 gallon per hour to cubic meters per second:

  1. Convert gallons to cubic meters:

    1gallonhour×1m3264.172gallons=0.00378541m3hour1 \frac{gallon}{hour} \times \frac{1 m^3}{264.172 gallons} = 0.00378541 \frac{m^3}{hour}

  2. Convert hours to seconds:

    0.00378541m3hour×1hour3600s=0.0000010515m3s0.00378541 \frac{m^3}{hour} \times \frac{1 hour}{3600 s} = 0.0000010515 \frac{m^3}{s}

Therefore, 1 gallon per hour is approximately 0.00000105150.0000010515 cubic meters per second.

Formula

The conversion formula can be expressed as:

Cubic meters per second=Gallons per hour÷264.172÷3600\text{Cubic meters per second} = \text{Gallons per hour} \div 264.172 \div 3600

Interesting Facts and History

The concept of volume flow rate is fundamental in fluid dynamics, a field extensively studied by scientists and engineers. One notable figure is Osborne Reynolds, an Irish engineer and physicist. Reynolds made significant contributions to fluid mechanics, particularly in understanding fluid flow behavior, such as laminar and turbulent flow. The Reynolds number, a dimensionless quantity, is named in his honor and is used to predict flow patterns in different fluid flow situations.

Real-World Examples

  1. River Discharge:

    • The flow rate of a river can be measured in cubic meters per second (m3/sm^3/s). For example, a small river might have a discharge of 10m3/s10 m^3/s, while a large river like the Amazon has a discharge of over 200,000m3/s200,000 m^3/s. Converting these values to gallons per hour can provide a more intuitive understanding of the water volume for those familiar with imperial units.
  2. Industrial Pumping:

    • Industrial pumps often have flow rates specified in gallons per hour (gal/hr). For instance, a pump used in a chemical plant might be rated to deliver 5000 gal/hr. Converting this to m3/sm^3/s allows engineers to compare the pump's capacity with other components in a system designed using metric units.
  3. Wastewater Treatment:

    • Wastewater treatment plants process water at a specific flow rate, often measured in cubic meters per second. Converting this to gallons per hour helps operators monitor and manage the plant's throughput effectively, ensuring compliance with regulatory standards.
  4. Irrigation Systems:

    • Large-scale irrigation systems distribute water to fields, and their flow rates can be measured in either cubic meters per second or gallons per hour. Converting between these units helps farmers and agricultural engineers optimize water usage and manage resources efficiently.

These examples illustrate how conversions between cubic meters per second and gallons per hour are essential in various practical applications, providing a common ground for understanding and comparing flow rates across different measurement systems.

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 Gallons 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 "Per Hour"?

"Per hour" specifies the time frame over which the volume of gallons is measured. It represents the rate at which something is flowing or being consumed during each hour.

How Gallons per Hour is Formed

Gallons per hour combines the unit of volume (gallons) with a unit of time (hour) to express flow rate. It indicates how many gallons of a substance pass through a given point in one hour. The formula to calculate flow rate in GPH is:

Flow Rate (GPH)=Volume (Gallons)Time (Hours)\text{Flow Rate (GPH)} = \frac{\text{Volume (Gallons)}}{\text{Time (Hours)}}

Real-World Examples of Gallons per Hour

  • Fuel Consumption: Vehicles, generators, and machinery often measure fuel consumption in gallons per hour. For instance, a generator might consume 2 gallons of gasoline per hour at full load.
  • Water Flow: Well pumps and irrigation systems can be rated by their GPH output. A well pump might deliver 5 gallons per minute, which is equivalent to 300 gallons per hour.
  • HVAC Systems: Condensate pumps in air conditioning systems often have a GPH rating, indicating how much condensate they can remove per hour.
  • Industrial Processes: Chemical plants and manufacturing facilities use GPH to measure the flow rates of various liquids in their processes, ensuring correct proportions and efficient operation.
  • Aquariums and Water Features: Water pumps in aquariums and water features are often rated in GPH to ensure proper water circulation and filtration.

Interesting Facts and Historical Context

While no specific law or famous person is directly linked to the "gallons per hour" unit itself, the concept of volume flow rate is fundamental in fluid dynamics and engineering. People like Evangelista Torricelli, who studied fluid flow and pressure, laid groundwork for understanding fluid dynamics concepts. Torricelli's law relates the speed of fluid flowing out of an opening to the height of fluid above the opening. Torricelli's Law is derived from the conservation of energy and is a cornerstone in understanding fluid dynamics.

The measurement of flow rates is crucial in numerous applications, from simple household uses to complex industrial processes.

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