Cups per second (cup/s) to Litres per minute (l/min) conversion

Cups per second to Litres per minute conversion table

Cups per second (cup/s)Litres per minute (l/min)
00
114.195294190774
228.390588381547
342.585882572321
456.781176763095
570.976470953868
685.171765144642
799.367059335416
8113.56235352619
9127.75764771696
10141.95294190774
20283.90588381547
30425.85882572321
40567.81176763095
50709.76470953868
60851.71765144642
70993.67059335416
801135.6235352619
901277.5764771696
1001419.5294190774
100014195.294190774

How to convert cups per second to litres per minute?

Converting between cups per second and litres per minute involves understanding the relationship between these volume flow rate units. Here's a breakdown of the conversion process, relevant information, and examples.

Conversion Factors

To convert between cups per second and litres per minute, we need to know the conversion factors:

  • 1 US cup is approximately equal to 0.236588 litres.
  • 1 minute is equal to 60 seconds.

Converting Cups per Second to Litres per Minute

To convert from cups per second to litres per minute, use the following formula:

Litres per minute=Cups per second×0.236588LitresCup×60SecondsMinute\text{Litres per minute} = \text{Cups per second} \times 0.236588 \frac{\text{Litres}}{\text{Cup}} \times 60 \frac{\text{Seconds}}{\text{Minute}}

So, for 1 cup per second:

1CupSecond×0.236588LitresCup×60SecondsMinute=14.19528LitresMinute1 \frac{\text{Cup}}{\text{Second}} \times 0.236588 \frac{\text{Litres}}{\text{Cup}} \times 60 \frac{\text{Seconds}}{\text{Minute}} = 14.19528 \frac{\text{Litres}}{\text{Minute}}

Therefore, 1 cup per second is equal to approximately 14.19528 litres per minute.

Converting Litres per Minute to Cups per Second

To convert from litres per minute to cups per second, you'll reverse the process:

Cups per second=Litres per minute0.236588LitresCup×60SecondsMinute\text{Cups per second} = \frac{\text{Litres per minute}}{0.236588 \frac{\text{Litres}}{\text{Cup}} \times 60 \frac{\text{Seconds}}{\text{Minute}}}

So, for 1 litre per minute:

1LitreMinute0.236588LitresCup×60SecondsMinute=0.07044CupsSecond\frac{1 \frac{\text{Litre}}{\text{Minute}}}{0.236588 \frac{\text{Litres}}{\text{Cup}} \times 60 \frac{\text{Seconds}}{\text{Minute}}} = 0.07044 \frac{\text{Cups}}{\text{Second}}

Therefore, 1 litre per minute is equal to approximately 0.07044 cups per second.

Historical Context and Interesting Facts

While there is no specific law or well-known person directly associated with the cups to litres conversion, the standardization of measurement units has a rich history. The metric system, including the litre, was developed in France during the French Revolution in the late 18th century as part of an effort to create a unified and rational system of measurement. The cup, on the other hand, is a more traditional unit, with variations in size across different regions and time periods. The US customary cup, as used here, is a standardized version.

Real-World Examples of Volume Flow Rate Conversions

  1. Water Fountains:

    • Consider a water fountain that dispenses water at a rate of 0.5 litres per minute. How much would that be in cups per second?

      0.5LitresMinute×10.236588×60CupsSecond0.03522CupsSecond0.5 \frac{\text{Litres}}{\text{Minute}} \times \frac{1}{0.236588 \times 60} \frac{\text{Cups}}{\text{Second}} \approx 0.03522 \frac{\text{Cups}}{\text{Second}}

  2. Industrial Filling Machines:

    • An industrial filling machine fills bottles at a rate of 30 cups per second. How much is this in litres per minute?

      30CupsSecond×0.236588LitresCup×60SecondsMinute425.8584LitresMinute30 \frac{\text{Cups}}{\text{Second}} \times 0.236588 \frac{\text{Litres}}{\text{Cup}} \times 60 \frac{\text{Seconds}}{\text{Minute}} \approx 425.8584 \frac{\text{Litres}}{\text{Minute}}

  3. Garden Hose Flow Rate:

    • A garden hose dispenses water at a rate of 5 litres per minute. How many cups per second is this?

      5LitresMinute×10.236588×60CupsSecond0.3522CupsSecond5 \frac{\text{Litres}}{\text{Minute}} \times \frac{1}{0.236588 \times 60} \frac{\text{Cups}}{\text{Second}} \approx 0.3522 \frac{\text{Cups}}{\text{Second}}

These examples show how these conversions are useful in daily life and various industries for understanding and managing fluid flow.

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 Litres per minute to other unit conversions.

What is cups per second?

Cups per second is a unit of measure for volume flow rate, indicating the amount of volume that passes through a cross-sectional area per unit of time. It's a measure of how quickly something is flowing.

Understanding Cups per Second

Cups per second (cups/s) is a unit used to quantify the volume of a substance that passes through a specific point or area in one second. It's part of a broader family of volume flow rate units, which also includes liters per second, gallons per minute, and cubic meters per hour.

How is it Formed?

Cups per second is derived by dividing a volume measurement (in cups) by a time measurement (in seconds).

  • Volume: A cup is a unit of volume. In the US customary system, a cup is equal to 8 fluid ounces.
  • Time: A second is the base unit of time in the International System of Units (SI).

Therefore, 1 cup/s means that one cup of a substance flows past a certain point in one second.

Calculating Volume Flow Rate

The general formula for volume flow rate (QQ) is:

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

Where:

  • QQ is the volume flow rate.
  • VV is the volume of the substance.
  • tt is the time it takes for that volume to flow.

Conversions

  • 1 US cup = 236.588 milliliters (mL)
  • 1 cup/s = 0.236588 liters per second (L/s)

Real-World Examples and Applications

While cups per second might not be a standard industrial measurement, it can be useful for illustrating flow rates in relatable terms:

  • Pouring Beverages: Imagine a bartender quickly pouring a drink. They might pour approximately 1 cup of liquid in 1 second, equating to a flow rate of 1 cup/s.
  • Small-Scale Liquid Dispensing: A machine dispensing precise amounts of liquid, such as in a pharmaceutical or food production setting, could operate at a rate expressible in cups per second. For instance, filling small medicine cups or condiment portions.
  • Estimating Water Flow: If you are filling a container, you can use cups per second to measure how fast you are filling that container. For example, you can use it to calculate how long it takes for the water to drain from a sink.

Historical Context and Notable Figures

There isn't a specific law or famous figure directly associated with cups per second as a unit. However, the broader study of fluid dynamics has roots in the work of scientists and engineers like:

  • Archimedes: Known for his work on buoyancy and fluid displacement.
  • Daniel Bernoulli: Developed Bernoulli's principle, which relates fluid speed to pressure.
  • Osborne Reynolds: Famous for the Reynolds number, which helps predict flow patterns in fluids.

Practical Implications

Understanding volume flow rate is crucial in various fields:

  • Engineering: Designing pipelines, irrigation systems, and hydraulic systems.
  • Medicine: Measuring blood flow in arteries and veins.
  • Environmental Science: Assessing river discharge and pollution dispersion.

What is Litres per minute?

Litres per minute (LPM) is a unit of volumetric flow rate, measuring the volume of liquid or gas that passes through a specific point in one minute. It is commonly used in various fields to quantify the rate of fluid transfer.

Understanding Litres per Minute (LPM)

LPM expresses how many litres of a substance flow through a given area in one minute. A litre is a unit of volume defined as 0.001 cubic meters, or 1000 cubic centimetres. Therefore, 1 LPM is equivalent to 1/1000 of a cubic meter per minute.

How is Litres per Minute Formed?

LPM is derived from the base units of volume (litres) and time (minutes). The formula to calculate flow rate in litres per minute is:

Flow Rate (LPM)=Volume (Litres)Time (Minutes)\text{Flow Rate (LPM)} = \frac{\text{Volume (Litres)}}{\text{Time (Minutes)}}

For example, if 50 litres of water flow out of a tap in one minute, the flow rate is 50 LPM.

Common Conversions

Here's a table of conversions between LPM and other common flow rate units:

Unit Conversion to LPM
1 Cubic Meter/Hour ≈ 16.67 LPM
1 Gallon/Minute (GPM) ≈ 3.785 LPM
1 Millilitre/Minute (mL/min) = 0.001 LPM

Real-World Applications and Examples

  • Medical Oxygen Delivery: Oxygen concentrators and ventilators often specify flow rates in LPM. A typical oxygen concentrator might deliver oxygen at a rate of 2-5 LPM.

  • Water Flow in a Household: The flow rate of water from a tap or showerhead is often measured in LPM. For instance, a water-saving showerhead might have a flow rate of 7-10 LPM.

  • Aquarium Filters: The performance of aquarium filters is often rated in LPM, indicating how quickly the filter can process the aquarium water. An aquarium filter might have a flow rate of 500 LPM.

  • HVAC Systems: Airflow in HVAC (Heating, Ventilation, and Air Conditioning) systems is sometimes specified in LPM, especially in smaller systems or components.

  • Industrial Processes: Many industrial processes involving fluids, such as chemical mixing or cooling, use LPM to measure and control flow rates.

Interesting Facts

While there isn't a specific "law" named after LPM, the principles of fluid dynamics and flow rate are governed by laws such as the Hagen-Poiseuille equation, which relates flow rate to pressure, viscosity, and dimensions of the pipe.

The measurement of flow rate has been crucial in the development of various technologies and industries, from water management to chemical engineering. The accurate measurement of flow is essential for efficiency, safety, and control in many processes. For more information on this, read the Fluid dynamics article from sciencelearn.org.nz.

Complete Cups per second conversion table

Enter # of Cups per second
Convert 1 cup/s to other unitsResult
Cups per second to Cubic Millimeters per second (cup/s to mm3/s)236588.2365129
Cups per second to Cubic Centimeters per second (cup/s to cm3/s)236.58823651289
Cups per second to Cubic Decimeters per second (cup/s to dm3/s)0.2365882365129
Cups per second to Cubic Decimeters per minute (cup/s to dm3/min)14.195294190774
Cups per second to Cubic Decimeters per hour (cup/s to dm3/h)851.71765144642
Cups per second to Cubic Decimeters per day (cup/s to dm3/d)20441.223634714
Cups per second to Cubic Decimeters per year (cup/s to dm3/a)7466156.9325793
Cups per second to Millilitres per second (cup/s to ml/s)236.58823651289
Cups per second to Centilitres per second (cup/s to cl/s)23.658823651289
Cups per second to Decilitres per second (cup/s to dl/s)2.3658823651289
Cups per second to Litres per second (cup/s to l/s)0.2365882365129
Cups per second to Litres per minute (cup/s to l/min)14.195294190774
Cups per second to Litres per hour (cup/s to l/h)851.71765144642
Cups per second to Litres per day (cup/s to l/d)20441.223634714
Cups per second to Litres per year (cup/s to l/a)7466156.9325793
Cups per second to Kilolitres per second (cup/s to kl/s)0.0002365882365129
Cups per second to Kilolitres per minute (cup/s to kl/min)0.01419529419077
Cups per second to Kilolitres per hour (cup/s to kl/h)0.8517176514464
Cups per second to Cubic meters per second (cup/s to m3/s)0.0002365882365129
Cups per second to Cubic meters per minute (cup/s to m3/min)0.01419529419077
Cups per second to Cubic meters per hour (cup/s to m3/h)0.8517176514464
Cups per second to Cubic meters per day (cup/s to m3/d)20.441223634714
Cups per second to Cubic meters per year (cup/s to m3/a)7466.1569325793
Cups per second to Cubic kilometers per second (cup/s to km3/s)2.3658823651289e-13
Cups per second to Teaspoons per second (cup/s to tsp/s)48
Cups per second to Tablespoons per second (cup/s to Tbs/s)16
Cups per second to Cubic inches per second (cup/s to in3/s)14.437566548158
Cups per second to Cubic inches per minute (cup/s to in3/min)866.2539928895
Cups per second to Cubic inches per hour (cup/s to in3/h)51975.23957337
Cups per second to Fluid Ounces per second (cup/s to fl-oz/s)8
Cups per second to Fluid Ounces per minute (cup/s to fl-oz/min)480
Cups per second to Fluid Ounces per hour (cup/s to fl-oz/h)28800
Cups per second to Pints per second (cup/s to pnt/s)0.5
Cups per second to Pints per minute (cup/s to pnt/min)30
Cups per second to Pints per hour (cup/s to pnt/h)1800
Cups per second to Quarts per second (cup/s to qt/s)0.25
Cups per second to Gallons per second (cup/s to gal/s)0.0625
Cups per second to Gallons per minute (cup/s to gal/min)3.75
Cups per second to Gallons per hour (cup/s to gal/h)225
Cups per second to Cubic feet per second (cup/s to ft3/s)0.008355039028476
Cups per second to Cubic feet per minute (cup/s to ft3/min)0.5013023417086
Cups per second to Cubic feet per hour (cup/s to ft3/h)30.078140502514
Cups per second to Cubic yards per second (cup/s to yd3/s)0.0003094454350996
Cups per second to Cubic yards per minute (cup/s to yd3/min)0.01856672610598
Cups per second to Cubic yards per hour (cup/s to yd3/h)1.1140035663586

Volume flow rate conversions