Gallons per hour (gal/h) to Cubic Centimeters per second (cm3/s) conversion

1 gal/h = 1.0515032733906 cm3/scm3/sgal/h
Formula
1 gal/h = 1.0515032733906 cm3/s

Understanding Gallons per hour to Cubic Centimeters per second Conversion

Gallons per hour (gal/hgal/h) and cubic centimeters per second (cm3/scm^3/s) are both units of volumetric flow rate, which describes how much volume moves through a system over time. Gallons per hour is commonly used in fuel delivery, pumps, irrigation, and industrial equipment, while cubic centimeters per second is useful in scientific, laboratory, medical, and engineering contexts where smaller flow quantities are measured.

Converting between these units makes it easier to compare equipment specifications, interpret technical documents, and work across systems that use different measurement conventions. It is especially relevant when a device is rated in gallons per hour but calculations or standards require cubic centimeters per second.

Conversion Formula

Using the verified conversion factor:

1  gal/h=1.0515032733906  cm3/s1 \; gal/h = 1.0515032733906 \; cm^3/s

To convert from gallons per hour to cubic centimeters per second:

cm3/s=gal/h×1.0515032733906cm^3/s = gal/h \times 1.0515032733906

For the reverse conversion:

gal/h=cm3/s×0.9510193884375gal/h = cm^3/s \times 0.9510193884375

These formulas use the verified facts exactly as provided.

Step-by-Step Example

Suppose a dosing pump delivers 18.5  gal/h18.5 \; gal/h. The goal is to express this flow rate in cubic centimeters per second.

1. Write the formula

cm3/s=gal/h×1.0515032733906cm^3/s = gal/h \times 1.0515032733906

2. Substitute the value

cm3/s=18.5×1.0515032733906cm^3/s = 18.5 \times 1.0515032733906

3. Calculate

cm3/s=19.4528105577261cm^3/s = 19.4528105577261

So,

18.5  gal/h=19.4528105577261  cm3/s18.5 \; gal/h = 19.4528105577261 \; cm^3/s

Real-World Examples

  • A small chemical metering pump rated at 12  gal/h12 \; gal/h would be:

    12×1.0515032733906=12.6180392806872  cm3/s12 \times 1.0515032733906 = 12.6180392806872 \; cm^3/s

    This type of flow rate can appear in water treatment or pool chemical injection systems.

  • A fuel transfer system delivering 35  gal/h35 \; gal/h would be:

    35×1.0515032733906=36.802614568671  cm3/s35 \times 1.0515032733906 = 36.802614568671 \; cm^3/s

    This is a practical scale for light-duty fuel or oil circulation equipment.

  • An irrigation or nutrient feed line operating at 60  gal/h60 \; gal/h would be:

    60×1.0515032733906=63.090196403436  cm3/s60 \times 1.0515032733906 = 63.090196403436 \; cm^3/s

    Such a rate may be relevant in greenhouse fertigation systems or precision agricultural dosing.

  • A laboratory or process flow setup running at 7.25  gal/h7.25 \; gal/h would be:

    7.25×1.0515032733906=7.62339873208185  cm3/s7.25 \times 1.0515032733906 = 7.62339873208185 \; cm^3/s

    This illustrates how a moderate hourly flow can correspond to a relatively small per-second volumetric rate.

Interesting Facts

  • The gallon is not a universal single size. Different gallon definitions have existed historically, and the U.S. gallon and imperial gallon are not the same unit. This is one reason precise conversion factors are important in technical work.
    Source: Britannica - gallon

  • The cubic centimeter is exactly equal to a milliliter in volume, which makes cm3/scm^3/s especially convenient in scientific and medical measurement systems. This close connection to SI-derived usage helps when comparing flow rates in laboratory and engineering applications.
    Source: Wikipedia - Cubic centimetre

Summary

Gallons per hour and cubic centimeters per second both measure volume flow rate, but they are commonly used in different practical settings. The verified relationship is:

1  gal/h=1.0515032733906  cm3/s1 \; gal/h = 1.0515032733906 \; cm^3/s

This means any value in gallons per hour can be converted by multiplying by 1.05150327339061.0515032733906. For reverse conversion, cubic centimeters per second can be converted to gallons per hour using:

1  cm3/s=0.9510193884375  gal/h1 \; cm^3/s = 0.9510193884375 \; gal/h

This conversion is useful in engineering, fluid handling, laboratory work, dosing systems, fuel transfer, and many other applications where flow rates need to be expressed in compatible units.

How to Convert Gallons per hour to Cubic Centimeters per second

To convert Gallons per hour to Cubic Centimeters per second, multiply the flow rate by the unit conversion factor. In this case, use the verified factor from gal/h to cm3/s.

  1. Write the given value: Start with the flow rate in Gallons per hour.

    25 gal/h25 \ \text{gal/h}

  2. Use the conversion factor: The verified conversion factor is:

    1 gal/h=1.0515032733906 cm3/s1 \ \text{gal/h} = 1.0515032733906 \ \text{cm}^3/\text{s}

  3. Set up the multiplication: Multiply the given value by the conversion factor so the gallons per hour unit converts directly to cubic centimeters per second.

    25 gal/h×1.0515032733906 cm3/sgal/h25 \ \text{gal/h} \times 1.0515032733906 \ \frac{\text{cm}^3/\text{s}}{\text{gal/h}}

  4. Calculate the result: Perform the multiplication.

    25×1.0515032733906=26.28758183476625 \times 1.0515032733906 = 26.287581834766

  5. Result: Therefore,

    25 Gallons per hour=26.287581834766 Cubic Centimeters per second25 \ \text{Gallons per hour} = 26.287581834766 \ \text{Cubic Centimeters per second}

A quick check is to see that a larger flow in gal/h gives a proportionally larger value in cm3/s. Keeping the conversion factor handy makes similar volume flow conversions much faster.

Gallons per hour to Cubic Centimeters per second conversion table

Gallons per hour (gal/h)Cubic Centimeters per second (cm3/s)
00
11.0515032733906
22.1030065467813
33.1545098201719
44.2060130935626
55.2575163669532
66.3090196403439
77.3605229137345
88.4120261871252
99.4635294605158
1010.515032733906
1515.77254910086
2021.030065467813
2526.287581834766
3031.545098201719
4042.060130935626
5052.575163669532
6063.090196403439
7073.605229137345
8084.120261871252
9094.635294605158
100105.15032733906
150157.7254910086
200210.30065467813
250262.87581834766
300315.45098201719
400420.60130935626
500525.75163669532
600630.90196403439
700736.05229137345
800841.20261871252
900946.35294605158
10001051.5032733906
20002103.0065467813
30003154.5098201719
40004206.0130935626
50005257.5163669532
1000010515.032733906
2500026287.581834766
5000052575.163669532
100000105150.32733906
250000262875.81834766
500000525751.63669532
10000001051503.2733906

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.

What is Cubic Centimeters per second?

Cubic centimeters per second (cc/s or cm3/s\text{cm}^3/\text{s}) is a unit of volumetric flow rate. It describes the volume of a substance that passes through a given area per unit of time. In this case, it represents the volume in cubic centimeters that flows every second. This unit is often used when dealing with small flow rates, as cubic meters per second would be too large to be practical.

Understanding Cubic Centimeters

A cubic centimeter (cm3cm^3) is a unit of volume equivalent to a milliliter (mL). Imagine a cube with each side measuring one centimeter. The space contained within that cube is one cubic centimeter.

Defining "Per Second"

The "per second" part of the unit indicates the rate at which the cubic centimeters are flowing. So, 1 cc/s means one cubic centimeter of a substance is passing a specific point every second.

Formula for Volumetric Flow Rate

The volumetric flow rate (Q) can be calculated using the following formula:

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

Where:

  • QQ = Volumetric flow rate (in cm3/s\text{cm}^3/\text{s})
  • VV = Volume (in cm3\text{cm}^3)
  • tt = Time (in seconds)

Relationship to Other Units

Cubic centimeters per second can be converted to other units of flow rate. Here are a few common conversions:

  • 1 cm3/s\text{cm}^3/\text{s} = 0.000001 m3/s\text{m}^3/\text{s} (cubic meters per second)
  • 1 cm3/s\text{cm}^3/\text{s} ≈ 0.061 in3/s\text{in}^3/\text{s} (cubic inches per second)
  • 1 cm3/s\text{cm}^3/\text{s} = 1 mL/s\text{mL/s} (milliliters per second)

Applications in the Real World

While there isn't a specific "law" directly associated with cubic centimeters per second, it's a fundamental unit in fluid mechanics and is used extensively in various fields:

  • Medicine: Measuring the flow rate of intravenous (IV) fluids, where precise and relatively small volumes are crucial. For example, administering medication at a rate of 0.5 cc/s.
  • Chemistry: Controlling the flow rate of reactants in microfluidic devices and lab experiments. For example, dispensing a reagent at a flow rate of 2 cc/s into a reaction chamber.
  • Engineering: Testing the flow rate of fuel injectors in engines. Fuel injector flow rates are critical and are measured in terms of volume per time, such as 15 cc/s.
  • 3D Printing: Regulating the extrusion rate of material in some 3D printing processes. The rate at which filament extrudes could be controlled at levels of 1-5 cc/s.
  • HVAC Systems: Measuring air flow rates in small ducts or vents.

Relevant Physical Laws and Concepts

The concept of cubic centimeters per second ties into several important physical laws:

  • Continuity Equation: This equation states that for incompressible fluids, the mass flow rate is constant throughout a closed system. The continuity equation is expressed as:

    A1v1=A2v2A_1v_1 = A_2v_2

    where AA is the cross-sectional area and vv is the flow velocity.

    Khan Academy's explanation of the Continuity Equation further details the relationship between area, velocity, and flow rate.

  • Bernoulli's Principle: This principle relates the pressure, velocity, and height of a fluid in a flowing system. It states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.

    More information on Bernoulli's Principle can be found here.

Frequently Asked Questions

What is the formula to convert Gallons per hour to Cubic Centimeters per second?

To convert Gallons per hour to Cubic Centimeters per second, multiply the flow rate in gal/h by the verified factor 1.05150327339061.0515032733906. The formula is cm3/s=gal/h×1.0515032733906 \text{cm}^3/\text{s} = \text{gal/h} \times 1.0515032733906 . This gives the equivalent flow rate in Cubic Centimeters per second.

How many Cubic Centimeters per second are in 1 Gallon per hour?

There are exactly 1.0515032733906 cm3/s1.0515032733906\ \text{cm}^3/\text{s} in 1 gal/h1\ \text{gal/h} based on the verified conversion factor. This is useful as a reference value for quick single-unit conversions.

Why would I convert Gallons per hour to Cubic Centimeters per second?

This conversion is useful when comparing fluid flow rates across systems that use different unit standards. It often appears in engineering, laboratory equipment, medical devices, and small-scale fluid measurement where metric volume units are preferred.

How do I convert a larger Gallons per hour value to Cubic Centimeters per second?

Use the same multiplication formula for any value: cm3/s=gal/h×1.0515032733906 \text{cm}^3/\text{s} = \text{gal/h} \times 1.0515032733906 . For example, if you have a flow rate in gal/h, multiplying by 1.05150327339061.0515032733906 gives the corresponding rate in cm3/s\text{cm}^3/\text{s} directly.

Is this conversion used in real-world flow measurement?

Yes, this conversion is commonly used when working with pumps, dosing systems, filtration equipment, and fluid control devices. A manufacturer may specify output in gal/h, while technical calculations or scientific documentation may require cm3/s\text{cm}^3/\text{s}.

Does the conversion factor change depending on the liquid?

No, the factor 1.05150327339061.0515032733906 is a unit conversion and does not depend on the type of liquid. It converts only the flow rate units from gal/h to cm3/s\text{cm}^3/\text{s}, regardless of whether the fluid is water, oil, or another liquid.

Complete Gallons per hour conversion table

gal/h
UnitResult
Cubic Millimeters per second (mm3/s)1051.5032733906 mm3/s
Cubic Centimeters per second (cm3/s)1.0515032733906 cm3/s
Cubic Decimeters per second (dm3/s)0.001051503273391 dm3/s
Cubic Decimeters per minute (dm3/min)0.06309019640344 dm3/min
Cubic Decimeters per hour (dm3/h)3.7854117842063 dm3/h
Cubic Decimeters per day (dm3/d)90.849882820952 dm3/d
Cubic Decimeters per year (dm3/a)33182.919700353 dm3/a
Millilitres per second (ml/s)1.0515032733906 ml/s
Centilitres per second (cl/s)0.1051503273391 cl/s
Decilitres per second (dl/s)0.01051503273391 dl/s
Litres per second (l/s)0.001051503273391 l/s
Litres per minute (l/min)0.06309019640344 l/min
Litres per hour (l/h)3.7854117842063 l/h
Litres per day (l/d)90.849882820952 l/d
Litres per year (l/a)33182.919700353 l/a
Kilolitres per second (kl/s)0.000001051503273391 kl/s
Kilolitres per minute (kl/min)0.00006309019640344 kl/min
Kilolitres per hour (kl/h)0.003785411784206 kl/h
Cubic meters per second (m3/s)0.000001051503273391 m3/s
Cubic meters per minute (m3/min)0.00006309019640344 m3/min
Cubic meters per hour (m3/h)0.003785411784206 m3/h
Cubic meters per day (m3/d)0.09084988282095 m3/d
Cubic meters per year (m3/a)33.182919700353 m3/a
Cubic kilometers per second (km3/s)1.0515032733906e-15 km3/s
Teaspoons per second (tsp/s)0.2133333333333 tsp/s
Tablespoons per second (Tbs/s)0.07111111111111 Tbs/s
Cubic inches per second (in3/s)0.06416696243626 in3/s
Cubic inches per minute (in3/min)3.8500177461755 in3/min
Cubic inches per hour (in3/h)231.00106477053 in3/h
Fluid Ounces per second (fl-oz/s)0.03555555555556 fl-oz/s
Fluid Ounces per minute (fl-oz/min)2.1333333333333 fl-oz/min
Fluid Ounces per hour (fl-oz/h)128 fl-oz/h
Cups per second (cup/s)0.004444444444444 cup/s
Pints per second (pnt/s)0.002222222222222 pnt/s
Pints per minute (pnt/min)0.1333333333333 pnt/min
Pints per hour (pnt/h)8 pnt/h
Quarts per second (qt/s)0.001111111111111 qt/s
Gallons per second (gal/s)0.0002777777777778 gal/s
Gallons per minute (gal/min)0.01666666666667 gal/min
Cubic feet per second (ft3/s)0.00003713350679323 ft3/s
Cubic feet per minute (ft3/min)0.002228010407594 ft3/min
Cubic feet per hour (ft3/h)0.1336806244556 ft3/h
Cubic yards per second (yd3/s)0.000001375313044887 yd3/s
Cubic yards per minute (yd3/min)0.00008251878269323 yd3/min
Cubic yards per hour (yd3/h)0.004951126961594 yd3/h

Volume flow rate conversions