Litres per second (l/s) to Cubic feet per second (ft3/s) conversion

Litres per second to Cubic feet per second conversion table

Litres per second (l/s)Cubic feet per second (ft3/s)
00
10.03531468492103
20.07062936984207
30.1059440547631
40.1412587396841
50.1765734246052
60.2118881095262
70.2472027944472
80.2825174793683
90.3178321642893
100.3531468492103
200.7062936984207
301.059440547631
401.4125873968414
501.7657342460517
602.1188810952621
702.4720279444724
802.8251747936828
903.1783216428931
1003.5314684921034
100035.314684921034

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

Understanding Volume Flow Rate Conversion: Litres per Second to Cubic Feet per Second

Converting between litres per second (L/s) and cubic feet per second (ft³/s) is a common task in various fields, including engineering, hydrology, and fluid mechanics. This conversion is essential for ensuring accurate measurements and facilitating communication when different systems of units are used

The Conversion Factor

The key to converting between these two units is knowing the conversion factor:

1 L/s0.0353147 ft³/s1 \text{ L/s} \approx 0.0353147 \text{ ft³/s}

This means that 1 litre per second is approximately equal to 0.0353147 cubic feet per second.

Step-by-Step Conversion: Litres per Second to Cubic Feet per Second

To convert from litres per second to cubic feet per second, multiply the value in L/s by the conversion factor:

Value in ft³/s=Value in L/s×0.0353147\text{Value in ft³/s} = \text{Value in L/s} \times 0.0353147

Example:

Convert 1 L/s to ft³/s:

1 L/s×0.0353147=0.0353147 ft³/s1 \text{ L/s} \times 0.0353147 = 0.0353147 \text{ ft³/s}

Step-by-Step Conversion: Cubic Feet per Second to Litres per Second

To convert from cubic feet per second to litres per second, divide the value in ft³/s by the conversion factor, or multiply by the reciprocal of 0.0353147 which is approximately 28.3168:

Value in L/s=Value in ft³/s÷0.0353147\text{Value in L/s} = \text{Value in ft³/s} \div 0.0353147

Or:

Value in L/s=Value in ft³/s×28.3168\text{Value in L/s} = \text{Value in ft³/s} \times 28.3168

Example:

Convert 1 ft³/s to L/s:

1 ft³/s÷0.0353147=28.3168 L/s1 \text{ ft³/s} \div 0.0353147 = 28.3168 \text{ L/s}

Or:

1 ft³/s×28.3168=28.3168 L/s1 \text{ ft³/s} \times 28.3168 = 28.3168 \text{ L/s}

Historical Context and Notable Figures

While there isn't a specific law or person directly associated with the L/s to ft³/s conversion, the underlying principles are rooted in the development of standardized measurement systems. The metric system, which includes the litre, was formalized in France in the late 18th century during the French Revolution. Meanwhile, the foot and cubic foot are part of the imperial and US customary units which have historical roots in various cultures and were later standardized.

The standardization of units is crucial for science, engineering, and commerce, allowing for consistent and comparable measurements worldwide.

Real-World Examples

Here are some common scenarios where converting between L/s and ft³/s is useful:

  1. Hydrology: Measuring river flow. Hydrologists might measure the flow rate of a river in cubic feet per second (ft³/s) to assess water availability, flood risk, or environmental impact. This data is sometimes needed in liters per second for reporting purposes.
  2. Wastewater Treatment: Calculating flow rates in treatment plants. Engineers use flow rates in L/s or ft³/s to design and manage wastewater treatment processes, ensuring efficient and effective treatment of sewage and industrial effluents.
  3. HVAC Systems: Determining airflow in ventilation systems. HVAC engineers calculate airflow rates in cubic feet per second (ft³/s) to design and optimize ventilation systems for buildings, ensuring adequate air exchange and indoor air quality. Converting to L/s may be necessary when working with international clients or equipment.
  4. Irrigation: Measuring water flow in agricultural systems. Farmers and irrigation specialists use flow rates in L/s to manage water distribution in irrigation systems, ensuring optimal water usage for crop production.
  5. Pumps and Fluid Systems: Specifying pump capacity. When selecting a pump for a specific application, engineers often need to convert between L/s and ft³/s to ensure the pump meets the required flow rate and system demands.

Summary Table

Conversion Formula
Litres per Second to Cubic Feet per Second L/s×0.0353147=ft3/sL/s \times 0.0353147 = ft³/s
Cubic Feet per Second to Litres per Second ft3/s÷0.0353147=L/sft³/s \div 0.0353147 = L/s or ft3/s×28.3168=L/sft³/s \times 28.3168 = L/s

Understanding and applying these conversions accurately is important for various practical applications across different industries.

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 second to other unit conversions.

What is Litres per second?

Litres per second (L/s) is a unit used to measure volume flow rate, indicating the volume of liquid or gas that passes through a specific point in one second. It is a common unit in various fields, particularly in engineering, hydrology, and medicine, where measuring fluid flow is crucial.

Understanding Litres per Second

A litre is a metric unit of volume equal to 0.001 cubic meters (m3m^3). Therefore, one litre per second represents 0.001 cubic meters of fluid passing a point every second.

The relationship can be expressed as:

1L/s=0.001m3/s1 \, \text{L/s} = 0.001 \, \text{m}^3\text{/s}

How Litres per Second is Formed

Litres per second is derived by dividing a volume measured in litres by a time measured in seconds:

Volume Flow Rate (L/s)=Volume (L)Time (s)\text{Volume Flow Rate (L/s)} = \frac{\text{Volume (L)}}{\text{Time (s)}}

For example, if 5 litres of water flow from a tap in 1 second, the flow rate is 5 L/s.

Applications and Examples

  • Household Water Usage: A typical shower might use water at a rate of 0.1 to 0.2 L/s.
  • River Discharge: Measuring the flow rate of rivers is crucial for water resource management and flood control. A small stream might have a flow rate of a few L/s, while a large river can have a flow rate of hundreds or thousands of cubic meters per second.
  • Medical Applications: In medical settings, IV drip rates or ventilator flow rates are often measured in millilitres per second (mL/s) or litres per minute (L/min), which can be easily converted to L/s. For example, a ventilator might deliver air at a rate of 1 L/s to a patient.
  • Industrial Processes: Many industrial processes involve controlling the flow of liquids or gases. For example, a chemical plant might use pumps to transfer liquids at a rate of several L/s.
  • Firefighting: Fire hoses deliver water at high flow rates to extinguish fires, often measured in L/s. A typical fire hose might deliver water at a rate of 15-20 L/s.

Relevant Laws and Principles

While there isn't a specific "law" directly named after litres per second, the measurement is heavily tied to principles of fluid dynamics, particularly:

  • Continuity Equation: This equation states that for incompressible fluids, the mass flow rate is constant throughout a pipe or channel. It's mathematically expressed as:

    A1v1=A2v2A_1v_1 = A_2v_2

    Where:

    • AA is the cross-sectional area of the flow.
    • vv is the velocity of the fluid.
  • Bernoulli's Principle: This principle relates the pressure, velocity, and height of a fluid in a flow. It's essential for understanding how flow rate affects pressure in fluid systems.

Interesting Facts

  • Understanding flow rates is essential in designing efficient plumbing systems, irrigation systems, and hydraulic systems.
  • Flow rate measurements are crucial for environmental monitoring, helping to assess water quality and track pollution.
  • The efficient management of water resources depends heavily on accurate measurement and control of flow rates.

For further reading, explore resources from reputable engineering and scientific organizations, such as the American Society of Civil Engineers or the International Association for Hydro-Environment Engineering and Research.

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.

Complete Litres per second conversion table

Enter # of Litres per second
Convert 1 l/s to other unitsResult
Litres per second to Cubic Millimeters per second (l/s to mm3/s)1000000
Litres per second to Cubic Centimeters per second (l/s to cm3/s)1000
Litres per second to Cubic Decimeters per second (l/s to dm3/s)1
Litres per second to Cubic Decimeters per minute (l/s to dm3/min)60
Litres per second to Cubic Decimeters per hour (l/s to dm3/h)3600
Litres per second to Cubic Decimeters per day (l/s to dm3/d)86400
Litres per second to Cubic Decimeters per year (l/s to dm3/a)31557600
Litres per second to Millilitres per second (l/s to ml/s)1000
Litres per second to Centilitres per second (l/s to cl/s)100
Litres per second to Decilitres per second (l/s to dl/s)10
Litres per second to Litres per minute (l/s to l/min)60
Litres per second to Litres per hour (l/s to l/h)3600
Litres per second to Litres per day (l/s to l/d)86400
Litres per second to Litres per year (l/s to l/a)31557600
Litres per second to Kilolitres per second (l/s to kl/s)0.001
Litres per second to Kilolitres per minute (l/s to kl/min)0.06
Litres per second to Kilolitres per hour (l/s to kl/h)3.6
Litres per second to Cubic meters per second (l/s to m3/s)0.001
Litres per second to Cubic meters per minute (l/s to m3/min)0.06
Litres per second to Cubic meters per hour (l/s to m3/h)3.6
Litres per second to Cubic meters per day (l/s to m3/d)86.4
Litres per second to Cubic meters per year (l/s to m3/a)31557.6
Litres per second to Cubic kilometers per second (l/s to km3/s)1e-12
Litres per second to Teaspoons per second (l/s to tsp/s)202.8841362
Litres per second to Tablespoons per second (l/s to Tbs/s)67.6280454
Litres per second to Cubic inches per second (l/s to in3/s)61.024025374023
Litres per second to Cubic inches per minute (l/s to in3/min)3661.4415224414
Litres per second to Cubic inches per hour (l/s to in3/h)219686.49134648
Litres per second to Fluid Ounces per second (l/s to fl-oz/s)33.8140227
Litres per second to Fluid Ounces per minute (l/s to fl-oz/min)2028.841362
Litres per second to Fluid Ounces per hour (l/s to fl-oz/h)121730.48172
Litres per second to Cups per second (l/s to cup/s)4.2267528375
Litres per second to Pints per second (l/s to pnt/s)2.11337641875
Litres per second to Pints per minute (l/s to pnt/min)126.802585125
Litres per second to Pints per hour (l/s to pnt/h)7608.1551075
Litres per second to Quarts per second (l/s to qt/s)1.056688209375
Litres per second to Gallons per second (l/s to gal/s)0.2641720523438
Litres per second to Gallons per minute (l/s to gal/min)15.850323140625
Litres per second to Gallons per hour (l/s to gal/h)951.0193884375
Litres per second to Cubic feet per second (l/s to ft3/s)0.03531468492103
Litres per second to Cubic feet per minute (l/s to ft3/min)2.1188810952621
Litres per second to Cubic feet per hour (l/s to ft3/h)127.13286571572
Litres per second to Cubic yards per second (l/s to yd3/s)0.001307949370859
Litres per second to Cubic yards per minute (l/s to yd3/min)0.07847696225152
Litres per second to Cubic yards per hour (l/s to yd3/h)4.7086177350915

Volume flow rate conversions