Cubic feet per second (ft3/s) to Cubic inches per second (in3/s) conversion

Cubic feet per second to Cubic inches per second conversion table

Cubic feet per second (ft3/s)Cubic inches per second (in3/s)
00
11728.0070744076
23456.0141488152
35184.0212232228
46912.0282976304
58640.035372038
610368.042446446
712096.049520853
813824.056595261
915552.063669668
1017280.070744076
2034560.141488152
3051840.212232228
4069120.282976304
5086400.35372038
60103680.42446446
70120960.49520853
80138240.56595261
90155520.63669668
100172800.70744076
10001728007.0744076

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

To convert 1 cubic foot per second (ft³/s) to cubic inches per second (in³/s), you need to know the relationship between cubic feet and cubic inches. There are 12 inches in one foot, so one cubic foot is equal to:

1 ft×1 ft×1 ft=12 in×12 in×12 in=1728 in31 \text{ ft} \times 1 \text{ ft} \times 1 \text{ ft} = 12 \text{ in} \times 12 \text{ in} \times 12 \text{ in} = 1728 \text{ in}³

Therefore, to convert cubic feet per second to cubic inches per second, you multiply by 1728:

1 ft3/s×1728 in3/ft3=1728 in3/s1 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 1728 \text{ in}³/\text{s}

So, 1 cubic foot per second is equivalent to 1728 cubic inches per second.

Real-world Examples of Different Quantities in Cubic Feet per Second

  1. Fire Hydrant Flow Rate: A typical fire hydrant may discharge approximately 500 ft³/s when fully opened, equivalent to: 500 ft3/s×1728 in3/ft3=864,000 in3/s500 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 864,000 \text{ in}³/\text{s}

  2. River Discharge: A small river might have a flow rate of 1000 ft³/s. This amounts to: 1000 ft3/s×1728 in3/ft3=1,728,000 in3/s1000 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 1,728,000 \text{ in}³/\text{s}

  3. Garden Hose: A typical garden hose delivers water at roughly 0.25 ft³/s. This can be converted to cubic inches per second as follows: 0.25 ft3/s×1728 in3/ft3=432 in3/s0.25 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 432 \text{ in}³/\text{s}

  4. Industrial Pumps: An industrial water pump may have a flow rate of roughly 10 ft³/s. This translates to: 10 ft3/s×1728 in3/ft3=17,280 in3/s10 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 17,280 \text{ in}³/\text{s}

  5. Aqueduct Flow: Certain aqueducts delivering water for cities may have flow rates around 300 ft³/s. This would be: 300 ft3/s×1728 in3/ft3=518,400 in3/s300 \text{ ft}³/\text{s} \times 1728 \text{ in}³/\text{ft}³ = 518,400 \text{ in}³/\text{s}

These examples illustrate how the flow rates in cubic feet per second can be significant in various real-world applications, ranging from simple household uses to large-scale water management 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 Cubic inches 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 Inches per Second?

Cubic inches per second (in$^3$/s) is a unit of flow rate that expresses the volume of a substance passing through a cross-sectional area per unit time. Specifically, it measures how many cubic inches of a substance flow past a point in one second.

Formation of Cubic Inches per Second

This unit is derived from the fundamental units of volume (cubic inches) and time (seconds). It's a volumetric flow rate, calculated as:

Flow Rate=VolumeTime\text{Flow Rate} = \frac{\text{Volume}}{\text{Time}}

In this case:

  • Volume is measured in cubic inches (in$^3$). 1 cubic inch is equal to 16.3871 cm316.3871 \text{ cm}^3.
  • Time is measured in seconds (s).

Therefore, 1 in$^3$/s means that one cubic inch of a substance flows past a specific point in one second.

Real-World Applications and Examples

Understanding the scale of cubic inches per second is easier with real-world examples:

  • Small Engine Displacement: The displacement of small engines, like those in lawnmowers or motorcycles, can be expressed in cubic inches. While not directly a flow rate, it represents the total volume displaced by the pistons during one engine cycle, influencing performance. A larger displacement generally means more power.

  • Hydraulic Systems: In hydraulic systems, such as those used in heavy machinery or braking systems, flow rates are crucial. The rate at which hydraulic fluid flows through valves and cylinders, often measured in gallons per minute (GPM), can be converted to cubic inches per second to ensure precise control and operation. One GPM equals 0.0631 in$^3$/s

  • Fuel Injectors: Fuel injectors in internal combustion engines control the flow of fuel into the cylinders. The flow rate of fuel injectors is critical for engine performance and emissions. While often measured in other units, these rates can be converted to cubic inches per second for comparison.

  • HVAC Systems: Airflow in heating, ventilation, and air conditioning (HVAC) systems is often measured in cubic feet per minute (CFM). CFM can be converted to cubic inches per second to quantify the amount of air being circulated. One CFM equals 1.728 in$^3$/s

Interesting Facts and Related Concepts

  • Dimensional Analysis: When working with flow rates, dimensional analysis is crucial to ensure consistent units. Converting between different units of volume and time (e.g., gallons per minute to cubic inches per second) requires careful attention to conversion factors.

  • Fluid Dynamics: The study of fluid dynamics relies heavily on the concept of flow rate. Principles like the conservation of mass and Bernoulli's equation are used to analyze and predict fluid behavior in various systems. Bernoulli's principle is a statement about conservation of energy for fluids.

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