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Cups per second (cup/s) to Cubic meters per minute (m³/min) conversion

Cups per second to Cubic meters per minute conversion table

Cups per second (cup/s)	Cubic meters per minute (m³/min)
0	0
1	0.01419529419077
2	0.02839058838155
3	0.04258588257232
4	0.05678117676309
5	0.07097647095387
6	0.08517176514464
7	0.09936705933542
8	0.1135623535262
9	0.127757647717
10	0.1419529419077
20	0.2839058838155
30	0.4258588257232
40	0.5678117676309
50	0.7097647095387
60	0.8517176514464
70	0.9936705933542
80	1.1356235352619
90	1.2775764771696
100	1.4195294190774
1000	14.195294190774

How to convert cups per second to cubic meters per minute?

Let's break down the conversion between cups per second and cubic meters per minute. We'll look at the conversion process, the relevant factors, and some practical examples.

Understanding the Conversion

Converting between cups per second and cubic meters per minute involves understanding the relationship between these two units of volume flow rate. A cup is a common unit of volume in the United States customary units, while a cubic meter is the standard unit of volume in the metric system. Since we are dealing with flow rates, we also need to account for the time component (seconds and minutes). This type of flow rate is also known as volumetric flow rate.

Conversion Factors

First, we need to establish the conversion factors:

1 US cup = 0.000236588 cubic meters ( $m^3$ )
1 minute = 60 seconds

These values are per the NIST's official publication SI Units - Volume

Converting Cups per Second to Cubic Meters per Minute

To convert 1 cup per second to cubic meters per minute, follow these steps:

Convert cups to cubic meters:

Multiply the number of cups by the conversion factor $0.000236588 \frac{m^3}{cup}$ :
$1 \frac{cup}{second} \times 0.000236588 \frac{m^3}{cup} = 0.000236588 \frac{m^3}{second}$
Convert seconds to minutes:

Multiply the result by 60 seconds per minute:
$0.000236588 \frac{m^3}{second} \times 60 \frac{seconds}{minute} = 0.01419528 \frac{m^3}{minute}$
Therefore, 1 cup per second is equal to approximately 0.01419528 cubic meters per minute.

Converting Cubic Meters per Minute to Cups per Second

To convert 1 cubic meter per minute to cups per second, follow these steps:

Convert cubic meters to cups:

Divide the number of cubic meters by the conversion factor $0.000236588 \frac{m^3}{cup}$ :
$1 \frac{m^3}{minute} \div 0.000236588 \frac{m^3}{cup} = 4226.75 \frac{cup}{minute}$
Convert minutes to seconds:

Divide the result by 60 seconds per minute:
$4226.75 \frac{cup}{minute} \div 60 \frac{seconds}{minute} = 70.4458 \frac{cup}{second}$
Therefore, 1 cubic meter per minute is equal to approximately 70.4458 cups per second.

Example Conversions for Context

To give you a better sense of these values, here are some examples:

Swimming Pool Filling:
- A small garden hose might deliver water at a rate of 0.002 $m^3$ /minute. This is equivalent to about 0.14 cups/second ( $0.002 \frac{m^3}{minute} \times 70.4458 \frac{cups/second}{m^3/minute} = 0.14 \frac{cups}{second}$ ).
Industrial Pump:
- A pump used in a chemical processing plant might transfer fluid at a rate of 0.5 $m^3$ /minute. This is equivalent to about 35.22 cups/second ( $0.5 \frac{m^3}{minute} \times 70.4458 \frac{cups/second}{m^3/minute} = 35.22 \frac{cups}{second}$ ).
Small Stream Flow:
- A very small stream might have a flow rate of 0.001 $m^3$ /minute. This is equivalent to roughly 0.07 cups/second ( $0.001 \frac{m^3}{minute} \times 70.4458 \frac{cups/second}{m^3/minute} = 0.07 \frac{cups}{second}$ ).

These examples provide a practical understanding of how these conversions can be applied in real-world situations.

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 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 ( $Q$ ) is:

Q = \frac{V}{t}

Where:

$Q$ is the volume flow rate.
$V$ is the volume of the substance.
$t$ 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 cubic meters per minute?

Cubic meters per minute ( $m^3/min$ ) is a unit used to express volume flow rate, indicating the volume of a substance that passes through a specific area per minute. It's commonly used to measure fluid flow rates in various applications.

Understanding Cubic Meters per Minute

Cubic meters per minute is derived from two fundamental SI units: volume (cubic meters, $m^3$ ) and time (minutes, min). One cubic meter is the volume of a cube with sides of one meter in length.

The Formula for Volume Flow Rate

Volume flow rate ( $Q$ ) is defined as the volume ( $V$ ) of a fluid passing through a cross-sectional area per unit of time ( $t$ ).

Q = \frac{V}{t}