Cups per second (cup/s) to Litres per hour (l/h) conversion

Cups per second to Litres per hour conversion table

Cups per second (cup/s)Litres per hour (l/h)
00
1851.71765144642
21703.4353028928
32555.1529543393
43406.8706057857
54258.5882572321
65110.3059086785
75962.023560125
86813.7412115714
97665.4588630178
108517.1765144642
2017034.353028928
3025551.529543393
4034068.706057857
5042585.882572321
6051103.059086785
7059620.23560125
8068137.412115714
9076654.588630178
10085171.765144642
1000851717.65144642

How to convert cups per second to litres per hour?

Let's explore the conversion between cups per second and litres per hour, understanding the steps involved and highlighting real-world relevance.

Understanding the Conversion

Converting cups per second to litres per hour involves understanding the relationships between these units of volume flow rate. A cup is a unit of volume, and a litre is another, with a fixed conversion factor. Similarly, seconds and hours are units of time. Combining these conversions gives us the overall conversion factor for volume flow rate.

Step-by-Step Conversion: Cups per Second to Litres per Hour

  1. Cups to Litres:

    • 1 US cup is approximately equal to 0.236588 litres.
  2. Seconds to Hours:

    • 1 hour = 3600 seconds.
  3. Combining the Conversions:

    • To convert 1 cup per second to litres per hour, multiply the cup value by the conversion factor to litres and the seconds value by the conversion factor to hours.

1cupsecond×0.236588 litres1 cup×3600 seconds1 hour=851.7168litreshour1 \frac{cup}{second} \times \frac{0.236588 \text{ litres}}{1 \text{ cup}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 851.7168 \frac{\text{litres}}{\text{hour}}

Therefore, 1 cup per second is equal to approximately 851.7168 litres per hour.

Step-by-Step Conversion: Litres per Hour to Cups per Second

  1. Litres to Cups:

    • 1 litre is approximately equal to 4.22675 US cups.
  2. Hours to Seconds:

    • 1 second = 13600\frac{1}{3600} hours.
  3. Combining the Conversions:

1litrehour×4.22675 cups1 litre×1 hour3600 seconds=0.001174097cupssecond1 \frac{\text{litre}}{\text{hour}} \times \frac{4.22675 \text{ cups}}{1 \text{ litre}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = 0.001174097 \frac{\text{cups}}{\text{second}}

Therefore, 1 litre per hour is approximately equal to 0.001174097 cups per second.

Real-World Examples

While cups per second and litres per hour might not be everyday units for most people, understanding volume flow rate conversions is valuable in various fields:

  1. Industrial Processes: Chemical plants often deal with fluid flow rates, converting between different units to ensure correct mixing and reaction rates.

  2. Water Management: Measuring water flow in pipes or rivers requires conversions between various units to monitor usage and prevent flooding. USGS - How Streamflow is Measured

  3. Medical Applications: Intravenous (IV) drip rates are sometimes specified in millilitres per hour, which may need to be converted for different equipment settings.

  4. Brewing: Large-scale breweries need precise volume flow rate measurements.

Interesting Facts

While there isn't a specific law tied directly to cup-to-litre conversion, the establishment of standardized units is rooted in the broader context of metrology. The Système International d'Unités (SI), or the International System of Units, ensures consistency and accuracy in measurements worldwide. NIST - SI Units

The adoption of standard units supports trade, science, and engineering by ensuring everyone is working with the same definitions of measurement.

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 hour 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 hour?

Litres per hour (L/h) is a common unit for measuring the rate at which a volume of liquid flows. Understanding its meaning and applications can be helpful in various fields.

Understanding Litres per Hour (L/h)

Litres per hour (L/h) is a unit of volume flow rate. It indicates the volume of liquid, measured in litres, that passes a specific point in one hour. In simpler terms, it tells you how many litres of a substance are moving per hour.

Formation of the Unit

The unit is formed by combining two fundamental units:

  • Litre (L): A metric unit of volume, defined as the volume of one kilogram of pure water at its maximum density (approximately 4°C).
  • Hour (h): A unit of time, equal to 60 minutes or 3600 seconds.

Therefore, 1 L/h means that one litre of a substance flows past a point in one hour.

Formula and Calculation

The flow rate (QQ) in litres per hour can be calculated using the following formula:

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

Where:

  • QQ = Flow rate (L/h)
  • VV = Volume (L)
  • tt = Time (h)

Real-World Examples

Litres per hour are used in many practical applications.

  • Water Usage: A household might use 500 L/h when all taps, showers, and appliances are running at once.
  • Medical Infusion: An IV drip might deliver medication at a rate of 0.1 L/h.
  • Fuel Consumption: A car might consume 5 L/h of fuel while idling.
  • Industrial Processes: A chemical plant might pump reactants at a rate of 2000 L/h into a reactor.
  • HVAC System: Condensate from a home air conditioner might drain at a rate of 1 L/h on a humid day.

Interesting Facts and Connections

While there isn't a specific "law" directly associated with litres per hour, the concept of flow rate is central to fluid dynamics, which is governed by laws like the Navier-Stokes equations. These equations describe the motion of viscous fluids and are fundamental in engineering and physics.

Conversion

Often, you might need to convert between L/h and other flow rate units. Here are some common conversions:

  • 1 L/h = 0.001 m3m^3/h (cubic meters per hour)
  • 1 L/h ≈ 0.264 US gallons per hour

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