Cubic Centimeters per second (cm3/s) to Cubic feet per hour (ft3/h) conversion

Cubic Centimeters per second to Cubic feet per hour conversion table

Cubic Centimeters per second (cm3/s)Cubic feet per hour (ft3/h)
00
10.1271328657157
20.2542657314314
30.3813985971472
40.5085314628629
50.6356643285786
60.7627971942943
70.8899300600101
81.0170629257258
91.1441957914415
101.2713286571572
202.5426573143145
303.8139859714717
405.085314628629
506.3566432857862
607.6279719429434
708.8993006001007
8010.170629257258
9011.441957914415
10012.713286571572
1000127.13286571572

How to convert cubic centimeters per second to cubic feet per hour?

Here's a breakdown of how to convert between cubic centimeters per second and cubic feet per hour. This explanation will cover the conversion process, relevant formulas, and practical examples.

Understanding Volume Flow Rate Conversion

Volume flow rate measures the volume of fluid that passes through a given area per unit of time. Converting between cubic centimeters per second (cm3/scm^3/s) and cubic feet per hour (ft3/hft^3/h) involves understanding the relationships between these units.

Conversion Formula

To convert from cubic centimeters per second to cubic feet per hour, you can use the following conversions:

  • 1 foot = 30.48 centimeters
  • 1 hour = 3600 seconds

Therefore:

1cm3s=1ft3(30.48cm)33600s1h1 \frac{cm^3}{s} = \frac{1 ft^3}{(30.48 cm)^3} \cdot \frac{3600 s}{1 h}

1cm3s=3600(30.48)3ft3h1 \frac{cm^3}{s} = \frac{3600}{(30.48)^3} \frac{ft^3}{h}

1cm3s0.12713275ft3h1 \frac{cm^3}{s} \approx 0.12713275 \frac{ft^3}{h}

Step-by-Step Conversion: cm3/scm^3/s to ft3/hft^3/h

  1. Start with the value in cubic centimeters per second: Let's say you have 1 cm3/scm^3/s.

  2. Multiply by the conversion factor:

    1cm3s0.12713275ft3/hcm3/s0.12713275ft3h1 \frac{cm^3}{s} \cdot 0.12713275 \frac{ft^3/h}{cm^3/s} \approx 0.12713275 \frac{ft^3}{h}

So, 1 cubic centimeter per second is approximately equal to 0.12713275 cubic feet per hour.

Step-by-Step Conversion: ft3/hft^3/h to cm3/scm^3/s

To convert from cubic feet per hour to cubic centimeters per second, you'll use the reciprocal of the conversion factor:

1ft3h=(30.48cm)31ft31h3600s1 \frac{ft^3}{h} = \frac{(30.48 cm)^3}{1 ft^3} \cdot \frac{1 h}{3600 s}

1ft3h=(30.48)33600cm3s1 \frac{ft^3}{h} = \frac{(30.48)^3}{3600} \frac{cm^3}{s}

1ft3h7.866667cm3s1 \frac{ft^3}{h} \approx 7.866667 \frac{cm^3}{s}

  1. Start with the value in cubic feet per hour: Let's say you have 1 ft3/hft^3/h.

  2. Multiply by the conversion factor:

    1ft3h7.866667cm3/sft3/h7.866667cm3s1 \frac{ft^3}{h} \cdot 7.866667 \frac{cm^3/s}{ft^3/h} \approx 7.866667 \frac{cm^3}{s}

So, 1 cubic foot per hour is approximately equal to 7.866667 cubic centimeters per second.

Historical Context and Relevance

While there isn't a specific law or famous person directly associated with this particular unit conversion, the broader context of fluid dynamics and volume flow rate is deeply rooted in scientific history. People such as:

  • Isaac Newton: His work on fluid dynamics laid the groundwork for understanding flow rates.
  • Daniel Bernoulli: Developed Bernoulli's principle, which relates fluid speed to pressure.

Real-World Examples

Here are some real-world examples where converting between cubic centimeters per second and cubic feet per hour might be useful:

  1. Medical Infusion Rates:

    • Doctors and nurses often deal with precise fluid infusion rates. For instance, a medication might need to be administered at 5 cm3/scm^3/s. Converting this to ft3/hft^3/h helps in calibrating certain medical devices or comparing rates across different systems.
  2. HVAC Systems:

    • In heating, ventilation, and air conditioning (HVAC) systems, airflow rates are critical. An engineer might measure an air duct's flow rate and need to convert it to ensure proper ventilation. For example, maintaining an airflow of 200 ft3/hft^3/h might be essential, and converting back to cm3/scm^3/s is useful for detailed analysis or equipment calibration.
  3. Small Engine Fuel Consumption:

    • Measuring the fuel consumption of a small engine, like that in a lawnmower or small generator, often involves tracking the volume of fuel used over time. If an engine consumes 1.5 cm3/scm^3/s of fuel, converting this to ft3/hft^3/h can provide a more relatable figure for overall fuel efficiency.
  4. 3D Printing:

    • In fused deposition modeling (FDM) 3D printing, the flow rate of plastic filament is crucial. If a printer extrudes plastic at a rate of 0.8 cm3/scm^3/s, converting this to ft3/hft^3/h helps in large-scale calculations or comparisons with industrial standards.
  5. Water Flow in Small Streams:

    • Environmental scientists might measure the flow rate of small streams or experimental setups in laboratories. A stream with a flow rate of 10 cm3/scm^3/s could be converted to ft3/hft^3/h to compare with larger water systems or report data in a more accessible unit.

These examples show how the conversion between cubic centimeters per second and cubic feet per hour is relevant in various fields, aiding in precise measurements, system calibrations, and data comparisons.

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 feet per hour to other unit conversions.

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.

What is Cubic feet per hour?

Cubic feet per hour (CFH) is a unit used to measure the volumetric flow rate. It represents the volume of a substance (gas or liquid) that passes through a specific area per hour, measured in cubic feet. It's a common unit in various fields, especially when dealing with gas and air flow.

Definition of Cubic Feet per Hour

Cubic feet per hour (CFH) is defined as the volume of a substance, measured in cubic feet, that flows past a point in one hour.

1 CFH=1ft3hour1 \text{ CFH} = 1 \frac{\text{ft}^3}{\text{hour}}

How CFH is Formed

CFH is derived from the basic units of volume (cubic feet) and time (hour). It directly expresses how many cubic feet of a substance move within one hour. No special law or constant is specifically tied to the definition of CFH itself. It is a direct measure of flow rate, useful in practical applications.

Calculating Volume Flow Rate

The volume flow rate (Q) in cubic feet per hour can be determined using the following formula:

Q=AvQ = A \cdot v

Where:

  • QQ = Volume flow rate (ft³/hour)
  • AA = Cross-sectional area of the flow (ft²)
  • vv = Average velocity of the flow (ft/hour)

Another way to calculate it is:

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

Where:

  • QQ = Volume flow rate (ft³/hour)
  • VV = Volume (ft³)
  • tt = Time (hours)

Real-World Examples of CFH

  • Natural Gas Consumption: Home appliances like furnaces, water heaters, and stoves are rated in terms of CFH to indicate their natural gas consumption. A typical furnace might consume 80-120 CFH of natural gas.
  • HVAC Systems: Air conditioning and ventilation systems use CFH to measure the airflow rate in ductwork. A residential HVAC system might require airflow rates between 400 and 1600 CFH, depending on the size of the home.
  • Compressed Air Systems: Pneumatic tools and equipment in factories use compressed air. The compressor output is often rated in CFH or cubic feet per minute (CFM, which can easily be converted to CFH by multiplying by 60) to indicate the volume of air it can supply.
  • Industrial Processes: Many industrial processes, such as chemical manufacturing or food processing, involve controlling the flow rate of liquids or gases. CFH can be used to specify the desired flow rate of a particular fluid. For example, a chemical reactor might require a flow of 50 CFH of nitrogen gas.
  • Ventilation Systems: Exhaust fans in bathrooms or kitchens are often rated in CFM (cubic feet per minute), which can be converted to CFH. A typical bathroom exhaust fan might be rated at 50-100 CFM, which equals 3000-6000 CFH.

Complete Cubic Centimeters per second conversion table

Enter # of Cubic Centimeters per second
Convert 1 cm3/s to other unitsResult
Cubic Centimeters per second to Cubic Millimeters per second (cm3/s to mm3/s)1000
Cubic Centimeters per second to Cubic Decimeters per second (cm3/s to dm3/s)0.001
Cubic Centimeters per second to Cubic Decimeters per minute (cm3/s to dm3/min)0.06
Cubic Centimeters per second to Cubic Decimeters per hour (cm3/s to dm3/h)3.6
Cubic Centimeters per second to Cubic Decimeters per day (cm3/s to dm3/d)86.4
Cubic Centimeters per second to Cubic Decimeters per year (cm3/s to dm3/a)31557.6
Cubic Centimeters per second to Millilitres per second (cm3/s to ml/s)1
Cubic Centimeters per second to Centilitres per second (cm3/s to cl/s)0.1
Cubic Centimeters per second to Decilitres per second (cm3/s to dl/s)0.01
Cubic Centimeters per second to Litres per second (cm3/s to l/s)0.001
Cubic Centimeters per second to Litres per minute (cm3/s to l/min)0.06
Cubic Centimeters per second to Litres per hour (cm3/s to l/h)3.6
Cubic Centimeters per second to Litres per day (cm3/s to l/d)86.4
Cubic Centimeters per second to Litres per year (cm3/s to l/a)31557.6
Cubic Centimeters per second to Kilolitres per second (cm3/s to kl/s)0.000001
Cubic Centimeters per second to Kilolitres per minute (cm3/s to kl/min)0.00006
Cubic Centimeters per second to Kilolitres per hour (cm3/s to kl/h)0.0036
Cubic Centimeters per second to Cubic meters per second (cm3/s to m3/s)0.000001
Cubic Centimeters per second to Cubic meters per minute (cm3/s to m3/min)0.00006
Cubic Centimeters per second to Cubic meters per hour (cm3/s to m3/h)0.0036
Cubic Centimeters per second to Cubic meters per day (cm3/s to m3/d)0.0864
Cubic Centimeters per second to Cubic meters per year (cm3/s to m3/a)31.5576
Cubic Centimeters per second to Cubic kilometers per second (cm3/s to km3/s)1e-15
Cubic Centimeters per second to Teaspoons per second (cm3/s to tsp/s)0.2028841362
Cubic Centimeters per second to Tablespoons per second (cm3/s to Tbs/s)0.0676280454
Cubic Centimeters per second to Cubic inches per second (cm3/s to in3/s)0.06102402537402
Cubic Centimeters per second to Cubic inches per minute (cm3/s to in3/min)3.6614415224414
Cubic Centimeters per second to Cubic inches per hour (cm3/s to in3/h)219.68649134648
Cubic Centimeters per second to Fluid Ounces per second (cm3/s to fl-oz/s)0.0338140227
Cubic Centimeters per second to Fluid Ounces per minute (cm3/s to fl-oz/min)2.028841362
Cubic Centimeters per second to Fluid Ounces per hour (cm3/s to fl-oz/h)121.73048172
Cubic Centimeters per second to Cups per second (cm3/s to cup/s)0.0042267528375
Cubic Centimeters per second to Pints per second (cm3/s to pnt/s)0.00211337641875
Cubic Centimeters per second to Pints per minute (cm3/s to pnt/min)0.126802585125
Cubic Centimeters per second to Pints per hour (cm3/s to pnt/h)7.6081551075
Cubic Centimeters per second to Quarts per second (cm3/s to qt/s)0.001056688209375
Cubic Centimeters per second to Gallons per second (cm3/s to gal/s)0.0002641720523438
Cubic Centimeters per second to Gallons per minute (cm3/s to gal/min)0.01585032314063
Cubic Centimeters per second to Gallons per hour (cm3/s to gal/h)0.9510193884375
Cubic Centimeters per second to Cubic feet per second (cm3/s to ft3/s)0.00003531468492103
Cubic Centimeters per second to Cubic feet per minute (cm3/s to ft3/min)0.002118881095262
Cubic Centimeters per second to Cubic feet per hour (cm3/s to ft3/h)0.1271328657157
Cubic Centimeters per second to Cubic yards per second (cm3/s to yd3/s)0.000001307949370859
Cubic Centimeters per second to Cubic yards per minute (cm3/s to yd3/min)0.00007847696225152
Cubic Centimeters per second to Cubic yards per hour (cm3/s to yd3/h)0.004708617735091

Volume flow rate conversions