Cubic feet per second (ft3/s) to Cubic meters per second (m3/s) conversion

Cubic feet per second to Cubic meters per second conversion table

Cubic feet per second (ft3/s)Cubic meters per second (m3/s)
00
10.02831683199881
20.05663366399763
30.08495049599644
40.1132673279953
50.1415841599941
60.1699009919929
70.1982178239917
80.2265346559905
90.2548514879893
100.2831683199881
200.5663366399763
300.8495049599644
401.1326732799526
501.4158415999407
601.6990099199289
701.982178239917
802.2653465599052
902.5485148798933
1002.8316831998815
100028.316831998815

How to convert cubic feet per second to cubic meters per second?

To convert units from cubic feet per second (ft³/s) to cubic meters per second (m³/s), you need to know the conversion factor between cubic feet and cubic meters. The conversion factor between feet and meters is:

1 foot = 0.3048 meters

Therefore:

1 cubic foot = (0.3048 meters)³ ≈ 0.0283168 cubic meters

So, to convert from cubic feet per second to cubic meters per second, you use this conversion factor. Here's how you can do the conversion for 1 cubic foot per second:

1 ft³/s × 0.0283168 m³/ft³ ≈ 0.0283168 m³/s

So, 1 cubic foot per second is approximately 0.0283168 cubic meters per second.

Real-World Examples:

  1. Small Stream: A small stream might have a flow rate of about 10 cubic feet per second (10 ft³/s). Converting this:

    10 ft³/s × 0.0283168 m³/ft³ ≈ 0.283168 m³/s

  2. Fire Hydrant: A fire hydrant might discharge water at around 1.5 cubic feet per second (1.5 ft³/s). Converting this:

    1.5 ft³/s × 0.0283168 m³/ft³ ≈ 0.0424752 m³/s

  3. River: A larger river might have a flow rate of 1000 cubic feet per second (1000 ft³/s). Converting this:

    1000 ft³/s × 0.0283168 m³/ft³ ≈ 28.3168 m³/s

  4. Urban Drainage: An urban drainage system during heavy rainfall might handle around 200 cubic feet per second (200 ft³/s). Converting this:

    200 ft³/s × 0.0283168 m³/ft³ ≈ 5.66336 m³/s

  5. Water Treatment Plant: A water treatment plant might process water at a rate of 50 cubic feet per second (50 ft³/s). Converting this:

    50 ft³/s × 0.0283168 m³/ft³ ≈ 1.41584 m³/s

These conversions help illustrate the differences in volume flow rates as they pertain to various real-world scenarios.

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 meters per second to other unit conversions.

What is Cubic Feet per Second?

Cubic feet per second (CFS) is a unit of measurement that expresses the volume of a substance (typically fluid) flowing per unit of time. Specifically, one CFS is equivalent to a volume of one cubic foot passing a point in one second. It's a rate, not a total volume.

1 CFS=1ft3s1 \text{ CFS} = 1 \frac{\text{ft}^3}{\text{s}}

Formation of Cubic Feet per Second

CFS is derived from the fundamental units of volume (cubic feet, ft3ft^3) and time (seconds, ss). The volume is usually calculated based on area and velocity of the fluid flow. It essentially quantifies how quickly a volume is moving.

Key Concepts and Formulas

The volume flow rate (QQ) can be calculated using the following formula:

Q=AvQ = A \cdot v

Where:

  • QQ is the volume flow rate (CFS)
  • AA is the cross-sectional area of the flow (ft2ft^2)
  • vv is the average velocity of the flow (ft/sft/s)

Alternatively, if you know the volume (VV) that passes a point over a certain time (tt):

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

Where:

  • QQ is the volume flow rate (CFS)
  • VV is the volume (ft3ft^3)
  • tt is the time (seconds)

Notable Associations

While there isn't a specific "law" named after someone directly tied to CFS, the principles behind its use are rooted in fluid dynamics, a field heavily influenced by:

  • Isaac Newton: His work on fluid resistance and viscosity laid the foundation for understanding fluid flow.
  • Daniel Bernoulli: Known for Bernoulli's principle, which relates fluid pressure to velocity and elevation. This principle is crucial in analyzing flow rates.

For a more in-depth understanding of the relationship between pressure and velocity, refer to Bernoulli's Principle from NASA.

Real-World Examples

  1. River Flows: The flow rate of rivers and streams is often measured in CFS. For example, a small stream might have a flow of 5 CFS during normal conditions, while a large river during a flood could reach thousands of CFS. The USGS WaterWatch website provides real-time streamflow data across the United States, often reported in CFS.

  2. Water Supply: Municipal water systems need to deliver water at a specific rate to meet demand. The flow rate in water pipes is calculated and monitored in CFS or related units (like gallons per minute, which can be converted to CFS) to ensure adequate supply.

  3. Industrial Processes: Many industrial processes rely on controlling the flow rate of liquids and gases. For example, a chemical plant might need to pump reactants into a reactor at a precise flow rate measured in CFS.

  4. HVAC Systems: Airflow in heating, ventilation, and air conditioning (HVAC) systems is sometimes specified in cubic feet per minute (CFM), which can be easily converted to CFS by dividing by 60 (since there are 60 seconds in a minute). This helps ensure proper ventilation and temperature control.

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.

Complete Cubic feet per second conversion table

Enter # of Cubic feet per second
Convert 1 ft3/s to other unitsResult
Cubic feet per second to Cubic Millimeters per second (ft3/s to mm3/s)28316831.998815
Cubic feet per second to Cubic Centimeters per second (ft3/s to cm3/s)28316.831998815
Cubic feet per second to Cubic Decimeters per second (ft3/s to dm3/s)28.316831998815
Cubic feet per second to Cubic Decimeters per minute (ft3/s to dm3/min)1699.0099199289
Cubic feet per second to Cubic Decimeters per hour (ft3/s to dm3/h)101940.59519573
Cubic feet per second to Cubic Decimeters per day (ft3/s to dm3/d)2446574.2846976
Cubic feet per second to Cubic Decimeters per year (ft3/s to dm3/a)893611257.48579
Cubic feet per second to Millilitres per second (ft3/s to ml/s)28316.831998815
Cubic feet per second to Centilitres per second (ft3/s to cl/s)2831.6831998815
Cubic feet per second to Decilitres per second (ft3/s to dl/s)283.16831998815
Cubic feet per second to Litres per second (ft3/s to l/s)28.316831998815
Cubic feet per second to Litres per minute (ft3/s to l/min)1699.0099199289
Cubic feet per second to Litres per hour (ft3/s to l/h)101940.59519573
Cubic feet per second to Litres per day (ft3/s to l/d)2446574.2846976
Cubic feet per second to Litres per year (ft3/s to l/a)893611257.48579
Cubic feet per second to Kilolitres per second (ft3/s to kl/s)0.02831683199881
Cubic feet per second to Kilolitres per minute (ft3/s to kl/min)1.6990099199289
Cubic feet per second to Kilolitres per hour (ft3/s to kl/h)101.94059519573
Cubic feet per second to Cubic meters per second (ft3/s to m3/s)0.02831683199881
Cubic feet per second to Cubic meters per minute (ft3/s to m3/min)1.6990099199289
Cubic feet per second to Cubic meters per hour (ft3/s to m3/h)101.94059519573
Cubic feet per second to Cubic meters per day (ft3/s to m3/d)2446.5742846976
Cubic feet per second to Cubic meters per year (ft3/s to m3/a)893611.25748579
Cubic feet per second to Cubic kilometers per second (ft3/s to km3/s)2.8316831998815e-11
Cubic feet per second to Teaspoons per second (ft3/s to tsp/s)5745.036
Cubic feet per second to Tablespoons per second (ft3/s to Tbs/s)1915.012
Cubic feet per second to Cubic inches per second (ft3/s to in3/s)1728.0070744076
Cubic feet per second to Cubic inches per minute (ft3/s to in3/min)103680.42446446
Cubic feet per second to Cubic inches per hour (ft3/s to in3/h)6220825.4678674
Cubic feet per second to Fluid Ounces per second (ft3/s to fl-oz/s)957.506
Cubic feet per second to Fluid Ounces per minute (ft3/s to fl-oz/min)57450.36
Cubic feet per second to Fluid Ounces per hour (ft3/s to fl-oz/h)3447021.6
Cubic feet per second to Cups per second (ft3/s to cup/s)119.68825
Cubic feet per second to Pints per second (ft3/s to pnt/s)59.844125
Cubic feet per second to Pints per minute (ft3/s to pnt/min)3590.6475
Cubic feet per second to Pints per hour (ft3/s to pnt/h)215438.85
Cubic feet per second to Quarts per second (ft3/s to qt/s)29.9220625
Cubic feet per second to Gallons per second (ft3/s to gal/s)7.480515625
Cubic feet per second to Gallons per minute (ft3/s to gal/min)448.8309375
Cubic feet per second to Gallons per hour (ft3/s to gal/h)26929.85625
Cubic feet per second to Cubic feet per minute (ft3/s to ft3/min)60
Cubic feet per second to Cubic feet per hour (ft3/s to ft3/h)3600
Cubic feet per second to Cubic yards per second (ft3/s to yd3/s)0.03703698259756
Cubic feet per second to Cubic yards per minute (ft3/s to yd3/min)2.2222189558537
Cubic feet per second to Cubic yards per hour (ft3/s to yd3/h)133.33313735122

Volume flow rate conversions