Cubic inches per hour (in3/h) to Gallons per minute (gal/min) conversion

Cubic inches per hour to Gallons per minute conversion table

Cubic inches per hour (in3/h)Gallons per minute (gal/min)
00
10.00007214973958333
20.0001442994791667
30.00021644921875
40.0002885989583333
50.0003607486979167
60.0004328984375
70.0005050481770833
80.0005771979166667
90.00064934765625
100.0007214973958333
200.001442994791667
300.0021644921875
400.002885989583333
500.003607486979167
600.004328984375
700.005050481770833
800.005771979166667
900.0064934765625
1000.007214973958333
10000.07214973958333

How to convert cubic inches per hour to gallons per minute?

Converting cubic inches per hour to gallons per minute involves understanding the relationships between these units of volume and time. Let's break down the process.

Conversion Fundamentals

To convert cubic inches per hour to gallons per minute, we need to know the conversion factors between cubic inches and gallons, and between hours and minutes. The key is applying these factors sequentially to transform the original unit to the desired one.

Step-by-Step Conversion: Cubic Inches per Hour to Gallons per Minute

Here’s how to convert 1 cubic inch per hour to gallons per minute:

  1. Cubic Inches to Gallons:

    • 1 U.S. gallon = 231 cubic inches
  2. Hours to Minutes:

    • 1 hour = 60 minutes

Now, let's combine these to perform the conversion:

1cubic inchhour×1 gallon231 cubic inches×1 hour60 minutes1 \frac{\text{cubic inch}}{\text{hour}} \times \frac{1 \text{ gallon}}{231 \text{ cubic inches}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}

=1231×60gallonsminute= \frac{1}{231 \times 60} \frac{\text{gallons}}{\text{minute}}

=113860gallonsminute0.00007216 GPM= \frac{1}{13860} \frac{\text{gallons}}{\text{minute}} \approx 0.00007216 \text{ GPM}

So, 1 cubic inch per hour is approximately 0.00007216 gallons per minute.

Step-by-Step Conversion: Gallons per Minute to Cubic Inches per Hour

To convert 1 gallon per minute to cubic inches per hour, we simply invert the process:

  1. Gallons to Cubic Inches:

    • 1 gallon = 231 cubic inches
  2. Minutes to Hours:

    • 1 minute = 160\frac{1}{60} hour

Now, let's combine these to perform the conversion:

1gallonminute×231 cubic inches1 gallon×60 minutes1 hour1 \frac{\text{gallon}}{\text{minute}} \times \frac{231 \text{ cubic inches}}{1 \text{ gallon}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}

=231×60cubic incheshour= 231 \times 60 \frac{\text{cubic inches}}{\text{hour}}

=13860cubic incheshour= 13860 \frac{\text{cubic inches}}{\text{hour}}

So, 1 gallon per minute is exactly 13,860 cubic inches per hour.

Historical Context and Relevance

While there isn't a specific law or person directly associated with the cubic inches per hour to gallons per minute conversion, the standardization of units of measurement has been an ongoing effort throughout history. For example, the standardization of gallons in the US was influenced by the need for consistent taxation of alcoholic beverages and the winchester gallon which was in use in England. NIST plays a crucial role in maintaining and standardizing measurement units.

Real-World Examples and Applications

Here are a few real-world examples where these conversions might be used:

  1. Fluid Pump Flow Rates:

    • Specifying the output of a small pump, particularly in scientific or laboratory settings where precision is essential. For example, a microfluidic pump might be rated in cubic inches per hour, while larger industrial pumps are often rated in gallons per minute.
  2. Leakage Rates:

    • Measuring very small leaks in hydraulic systems or fuel lines. A slow leak might be quantified in cubic inches per hour, while larger leaks are assessed in gallons per minute.
  3. Chemical Dosing:

    • In chemical processing or water treatment, extremely precise dosing of additives may be measured in cubic inches per hour. Larger-scale dosing is typically measured in gallons per minute.
  4. HVAC Systems:

  • Condensate drain from HVAC systems. They usually drip slowly and measured by the cubic inches per hour while the output may be measured in gallons per minute.

These examples highlight the practical relevance of converting between cubic inches per hour and gallons per minute across various fields.

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 minute to other unit conversions.

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

What is Gallons Per Minute (GPM)?

Gallons per minute (GPM) is a unit of measurement that expresses the volume of a liquid that flows past a specific point in one minute. It's commonly used to quantify the rate of fluid transfer or consumption.

Understanding Gallons

A gallon is a unit of volume in the United States customary and imperial systems of measurement. There are different types of gallons, but the U.S. liquid gallon is most relevant here:

  • 1 U.S. liquid gallon = 231 cubic inches
  • 1 U.S. liquid gallon ≈ 3.785 liters

Therefore, 1 GPM is equivalent to 3.785 liters per minute.

Calculating GPM

The flow rate (Q) in GPM can be calculated using different methods, depending on the available information. Here are a couple of common scenarios:

  • From Volume and Time:

    If you know the volume (V) of liquid that flows in a specific time (t), you can calculate GPM using the following formula:

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

    Where:

    • Q = Flow rate in gallons per minute (GPM)
    • V = Volume in gallons
    • t = Time in minutes
  • From Velocity and Area:

    If you know the average velocity (v) of the liquid flow and the cross-sectional area (A) of the pipe or channel, you can calculate GPM using the following formula:

    Q=vAQ = v \cdot A

    Where:

    • Q = Flow rate (convert to GPM using appropriate conversion factors)
    • v = Average velocity (e.g., feet per second)
    • A = Cross-sectional area (e.g., square feet)

    Conversion Factors: Remember to use appropriate conversion factors to ensure your final answer is in GPM.

Real-World Examples of GPM

  • Water Usage in Homes: Showerheads and faucets often have flow rates specified in GPM. For example, a low-flow showerhead might have a flow rate of 2.5 GPM or less.
  • Pumps: Pumps used in various applications (e.g., sump pumps, water pumps for irrigation) are often rated by their GPM capacity. A sump pump might be rated to pump 15 GPM or more.
  • Industrial Processes: In manufacturing and chemical processing, GPM is crucial for controlling the flow of liquids in pipelines, reactors, and other equipment. Specific processes might require flow rates ranging from a few GPM to hundreds or even thousands of GPM.
  • HVAC Systems: Chillers and cooling towers in HVAC systems use GPM to measure the flow rate of coolant water.
  • Irrigation: Sprinkler systems are often rated in GPM to ensure sufficient water distribution for plant growth.

Interesting Facts and Connections

  • Plumbing Codes: Plumbing codes often specify maximum allowable flow rates for fixtures (e.g., faucets, showerheads) in order to conserve water.
  • Water Conservation: Reducing GPM is a key strategy for water conservation efforts in residential, commercial, and industrial settings.
  • Hydraulic Engineering: GPM is a fundamental unit in hydraulic engineering for designing and analyzing fluid flow systems.

Additional Resources

For more information on flow rate and related concepts, refer to the following resources:

Complete Cubic inches per hour conversion table

Enter # of Cubic inches per hour
Convert 1 in3/h to other unitsResult
Cubic inches per hour to Cubic Millimeters per second (in3/h to mm3/s)4.5519412407695
Cubic inches per hour to Cubic Centimeters per second (in3/h to cm3/s)0.004551941240769
Cubic inches per hour to Cubic Decimeters per second (in3/h to dm3/s)0.000004551941240769
Cubic inches per hour to Cubic Decimeters per minute (in3/h to dm3/min)0.0002731164744462
Cubic inches per hour to Cubic Decimeters per hour (in3/h to dm3/h)0.01638698846677
Cubic inches per hour to Cubic Decimeters per day (in3/h to dm3/d)0.3932877232025
Cubic inches per hour to Cubic Decimeters per year (in3/h to dm3/a)143.64834089971
Cubic inches per hour to Millilitres per second (in3/h to ml/s)0.004551941240769
Cubic inches per hour to Centilitres per second (in3/h to cl/s)0.0004551941240769
Cubic inches per hour to Decilitres per second (in3/h to dl/s)0.00004551941240769
Cubic inches per hour to Litres per second (in3/h to l/s)0.000004551941240769
Cubic inches per hour to Litres per minute (in3/h to l/min)0.0002731164744462
Cubic inches per hour to Litres per hour (in3/h to l/h)0.01638698846677
Cubic inches per hour to Litres per day (in3/h to l/d)0.3932877232025
Cubic inches per hour to Litres per year (in3/h to l/a)143.64834089971
Cubic inches per hour to Kilolitres per second (in3/h to kl/s)4.5519412407695e-9
Cubic inches per hour to Kilolitres per minute (in3/h to kl/min)2.7311647444617e-7
Cubic inches per hour to Kilolitres per hour (in3/h to kl/h)0.00001638698846677
Cubic inches per hour to Cubic meters per second (in3/h to m3/s)4.5519412407695e-9
Cubic inches per hour to Cubic meters per minute (in3/h to m3/min)2.7311647444617e-7
Cubic inches per hour to Cubic meters per hour (in3/h to m3/h)0.00001638698846677
Cubic inches per hour to Cubic meters per day (in3/h to m3/d)0.0003932877232025
Cubic inches per hour to Cubic meters per year (in3/h to m3/a)0.1436483408997
Cubic inches per hour to Cubic kilometers per second (in3/h to km3/s)4.5519412407695e-18
Cubic inches per hour to Teaspoons per second (in3/h to tsp/s)0.0009235166666667
Cubic inches per hour to Tablespoons per second (in3/h to Tbs/s)0.0003078388888889
Cubic inches per hour to Cubic inches per second (in3/h to in3/s)0.0002777777777778
Cubic inches per hour to Cubic inches per minute (in3/h to in3/min)0.01666666666667
Cubic inches per hour to Fluid Ounces per second (in3/h to fl-oz/s)0.0001539194444444
Cubic inches per hour to Fluid Ounces per minute (in3/h to fl-oz/min)0.009235166666667
Cubic inches per hour to Fluid Ounces per hour (in3/h to fl-oz/h)0.55411
Cubic inches per hour to Cups per second (in3/h to cup/s)0.00001923993055556
Cubic inches per hour to Pints per second (in3/h to pnt/s)0.000009619965277778
Cubic inches per hour to Pints per minute (in3/h to pnt/min)0.0005771979166667
Cubic inches per hour to Pints per hour (in3/h to pnt/h)0.034631875
Cubic inches per hour to Quarts per second (in3/h to qt/s)0.000004809982638889
Cubic inches per hour to Gallons per second (in3/h to gal/s)0.000001202495659722
Cubic inches per hour to Gallons per minute (in3/h to gal/min)0.00007214973958333
Cubic inches per hour to Gallons per hour (in3/h to gal/h)0.004328984375
Cubic inches per hour to Cubic feet per second (in3/h to ft3/s)1.6075037069684e-7
Cubic inches per hour to Cubic feet per minute (in3/h to ft3/min)0.00000964502224181
Cubic inches per hour to Cubic feet per hour (in3/h to ft3/h)0.0005787013345086
Cubic inches per hour to Cubic yards per second (in3/h to yd3/s)5.9537086820504e-9
Cubic inches per hour to Cubic yards per minute (in3/h to yd3/min)3.5722252092302e-7
Cubic inches per hour to Cubic yards per hour (in3/h to yd3/h)0.00002143335125538

Volume flow rate conversions