Litres per second (l/s) to Cubic meters per hour (m3/h) conversion

Litres per second to Cubic meters per hour conversion table

Litres per second (l/s)Cubic meters per hour (m3/h)
00
13.6
27.2
310.8
414.4
518
621.6
725.2
828.8
932.4
1036
2072
30108
40144
50180
60216
70252
80288
90324
100360
10003600

How to convert litres per second to cubic meters per hour?

To convert between Litres per second (L/s) and Cubic meters per hour (m3m^3/h), we need to understand the relationships between these units of volume and time

Conversion Fundamentals

Understanding the basic relationships:

  • 1 Litre (L) = 0.001m30.001 m^3
  • 1 hour (h) = 3600 seconds (s)

Converting Litres per second (L/s) to Cubic meters per hour (m3m^3/h)

To convert from L/s to m3m^3/h, you'll use the following steps:

  1. Convert Litres to Cubic meters: Multiply the value in Litres by 0.0010.001 to get the equivalent in Cubic meters.

  2. Convert seconds to hours: Multiply the value in per second by 36003600 to get the equivalent per hour.

Formula:

1Ls=1Ls×0.001m31L×3600s1h1 \frac{L}{s} = 1 \frac{L}{s} \times \frac{0.001 m^3}{1 L} \times \frac{3600 s}{1 h}

1Ls=3.6m3h1 \frac{L}{s} = 3.6 \frac{m^3}{h}

Therefore, 1 L/s is equal to 3.6 m3m^3/h.

Converting Cubic meters per hour (m3m^3/h) to Litres per second (L/s)

To convert from m3m^3/h to L/s, you'll perform the reverse operations:

  1. Convert Cubic meters to Litres: Multiply the value in Cubic meters by 10001000 to get the equivalent in Litres.

  2. Convert hours to seconds: Divide the value in per hour by 36003600 to get the equivalent per second.

Formula:

1m3h=1m3h×1000L1m3×1h3600s1 \frac{m^3}{h} = 1 \frac{m^3}{h} \times \frac{1000 L}{1 m^3} \times \frac{1 h}{3600 s}

1m3h=13.6Ls0.27777Ls1 \frac{m^3}{h} = \frac{1}{3.6} \frac{L}{s} \approx 0.27777 \frac{L}{s}

Therefore, 1 m3m^3/h is approximately equal to 0.27777 L/s.

Interesting Facts

While there isn't a specific law directly associated with this simple volume flow rate conversion, it's based on the fundamental definitions of volume and time units within the International System of Units (SI). The SI system is maintained by the International Bureau of Weights and Measures (BIPM).

Real-world Examples

  1. Water flow in a river:

    • Estimating river discharge: Hydrologists often convert flow rates to understand how much water a river carries.
    • Example: A small stream might have a flow rate of 5 L/s, which is 18 m3m^3/h.
  2. Industrial processes:

    • Chemical plants might need to control the flow of liquids in their processes.
    • Example: A pump delivering a chemical at 10 L/s is equivalent to 36 m3m^3/h.
  3. HVAC Systems:

    • Calculating the volume of air moved by ventilation systems.
    • Example: An HVAC system moving air at 200 m3m^3/h equates to approximately 55.56 L/s.
  4. Sprinkler Systems

    • Efficient water distribution in agriculture.
    • Example: A sprinkler system dispenses water at 1.5 L/s which equates to 5.4 m3m^3/h

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 hour 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 meters per hour?

Cubic meters per hour (m3/hm^3/h) is a unit of volumetric flow rate. It quantifies the volume of a substance that passes through a specific area per unit of time, specifically, the number of cubic meters that flow in one hour. It's commonly used for measuring the flow of liquids and gases in various industrial and environmental applications.

Understanding Cubic Meters

A cubic meter (m3m^3) is the SI unit of volume. It represents the amount of space occupied by a cube with sides of 1 meter each. Think of it as a volume equal to filling a cube that is 1 meter wide, 1 meter long, and 1 meter high.

Defining "Per Hour"

"Per hour" indicates the rate at which the cubic meters are moving. So, a flow rate of 1 m3/hm^3/h means that one cubic meter of substance passes a specific point every hour.

Formula and Calculation

The volumetric flow rate (Q) in cubic meters per hour can be calculated using the following formula:

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

Where:

  • QQ = Volumetric flow rate (m3/hm^3/h)
  • VV = Volume (m3m^3)
  • tt = Time (hours)

Factors Influencing Cubic Meters per Hour

Several factors can influence the flow rate measured in cubic meters per hour:

  • Pressure: Higher pressure generally leads to a higher flow rate, especially for gases.
  • Viscosity: More viscous fluids flow slower, resulting in a lower flow rate.
  • Pipe Diameter: A wider pipe allows for a higher flow rate, assuming other factors are constant.
  • Temperature: Temperature can affect the density and viscosity of fluids, indirectly influencing the flow rate.

Real-World Examples

  • Water Usage: A household might use 0.5 m3/hm^3/h of water during peak usage times (showering, washing dishes, etc.).
  • Industrial Processes: A chemical plant might pump a reactant liquid at a rate of 5 m3/hm^3/h into a reactor.
  • HVAC Systems: Air conditioners and ventilation systems are often rated by the volume of air they can move, which is expressed in m3/hm^3/h. For example, a residential HVAC system might have a flow rate of 200 m3/hm^3/h.
  • River Discharge: The flow rate of a river can be measured in cubic meters per hour, especially during flood monitoring. It helps to estimate the amount of water that is passing through a cross section of the river.

Historical Context and Notable Figures

While there's no specific "law" or famous historical figure directly associated with the unit "cubic meters per hour," the underlying principles are rooted in fluid dynamics and thermodynamics. Figures like Isaac Newton (laws of motion, viscosity) and Daniel Bernoulli (Bernoulli's principle relating pressure and velocity) laid the groundwork for understanding fluid flow, which is essential for measuring and utilizing flow rates in m3/hm^3/h.

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