Cubic inches per minute (in3/min) to Cups per second (cup/s) conversion

Cubic inches per minute to Cups per second conversion table

Cubic inches per minute (in3/min)Cups per second (cup/s)
00
10.001154395833333
20.002308791666667
30.0034631875
40.004617583333333
50.005771979166667
60.006926375
70.008080770833333
80.009235166666667
90.0103895625
100.01154395833333
200.02308791666667
300.034631875
400.04617583333333
500.05771979166667
600.06926375
700.08080770833333
800.09235166666667
900.103895625
1000.1154395833333
10001.1543958333333

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

To convert from cubic inches per minute to cups per second, we need to follow a conversion process that takes into account the following steps:

  1. Convert cubic inches to cups.
  2. Convert minutes to seconds.

First, we need to know the conversions:

  • There are 14.4375 cubic inches in one cup.
  • There are 60 seconds in one minute.

Let's go step-by-step:

  1. Convert cubic inches to cups: 1 cubic inch = 1 / 14.4375 cups

  2. Convert cubic inches per minute to cubic inches per second: 1 cubic inch per minute = 1 / 60 cubic inches per second

Combining these two steps: Cups per second=(1cubic inchminute)×(1cup14.4375cubic inches)×(1minute60seconds)\text{Cups per second} = \left( 1 \frac{\text{cubic inch}}{\text{minute}} \right) \times \left( \frac{1 \text{cup}}{14.4375 \text{cubic inches}} \right) \times \left( \frac{1 \text{minute}}{60 \text{seconds}} \right)

Cups per second=114.4375×60cups per second\text{Cups per second} = \frac{1}{14.4375 \times 60} \text{cups per second}

Cups per second=1866.25cups per second\text{Cups per second} = \frac{1}{866.25} \text{cups per second}

Cups per second0.001154cups per second\text{Cups per second} \approx 0.001154 \text{cups per second}

So, 1 cubic inch per minute is approximately 0.001154 cups per second.

Real-world Examples for Other Quantities of Cubic Inches per Minute:

  1. Household Plumbing:

    • A typical kitchen faucet flows at about 1.5 to 2 gallons per minute. To convert for context using cubic inches per minute:
      • 1 gallon = 231 cubic inches.
      • 1.5 gallons per minute = 1.5 \times 231 = 346.5 cubic inches per minute.
      • 2 gallons per minute = 2 \times 231 = 462 cubic inches per minute.
  2. Aquarium Pump:

    • An aquarium pump might circulate water at around 100 gallons per hour.
      • Converting hours to minutes: 100 gallons per hour = 100 / 60 gallons per minute.
      • 100 gallons per hour = 10060×231\frac{100}{60} \times 231 cubic inches per minute.
      • ≈ 385 cubic inches per minute.
  3. Engine Displacement:

    • An automotive engine might have a displacement rate when idling.
      • Suppose an engine displaces around 50 cubic inches per minute during idle.
  4. Industrial Flow:

    • In a factory, if a machine requires lubricant flow at a rate of 10 cubic inches per minute to function properly.

These examples help illustrate the range of applications where cubic inches per minute might need to be considered, and how they would translate to cups per second in some cases.

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 Cups per second to other unit conversions.

What is cubic inches per minute?

What is Cubic Inches per Minute?

Cubic inches per minute (in$^3$/min or CFM) is a unit of measure for volume flow rate. It represents the volume of a substance (typically a gas or liquid) that flows through a given area per minute, with the volume measured in cubic inches. It's a common unit in engineering and manufacturing, especially in the United States.

Understanding Cubic Inches and Volume Flow Rate

Cubic Inches

A cubic inch is a unit of volume equal to the volume of a cube with sides one inch long. It's part of the imperial system of measurement.

Volume Flow Rate

Volume flow rate, generally denoted as QQ, is the volume of fluid which passes per unit time. The SI unit for volume flow rate is cubic meters per second (m3/sm^3/s).

Formation of Cubic Inches per Minute

Cubic inches per minute is formed by combining a unit of volume (cubic inches) with a unit of time (minutes). This describes how many cubic inches of a substance pass a specific point or through a specific area in one minute.

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

Where:

  • QQ = Volume flow rate (in$^3$/min)
  • VV = Volume (in$^3$)
  • tt = Time (min)

Applications and Examples

Cubic inches per minute is used across various industries. Here are some real-world examples:

  • Automotive: Measuring the air intake of an engine or the flow rate of fuel injectors. For instance, a fuel injector might have a flow rate of 100 in$^3$/min.
  • HVAC (Heating, Ventilation, and Air Conditioning): Specifying the airflow capacity of fans and blowers. A small bathroom fan might move air at a rate of 50 in$^3$/min.
  • Pneumatics: Determining the flow rate of compressed air in pneumatic systems. An air compressor might deliver 500 in$^3$/min of air.
  • Manufacturing: Measuring the flow of liquids in industrial processes, such as coolant flow in machining operations. A coolant pump might have a flow rate of 200 in$^3$/min.
  • 3D Printing: When using liquid resins.

Conversions and Related Units

It's important to understand how cubic inches per minute relates to other units of flow rate:

  • Cubic Feet per Minute (CFM): 1 CFM = 1728 in$^3$/min
  • Liters per Minute (LPM): 1 in$^3$/min ≈ 0.01639 LPM
  • Gallons per Minute (GPM): 1 GPM ≈ 231 in$^3$/min

Interesting Facts

While there's no specific law directly associated with cubic inches per minute itself, the underlying principles of fluid dynamics that govern volume flow rate are described by fundamental laws such as the Navier-Stokes equations. These equations, developed in the 19th century, describe the motion of viscous fluids and are essential for understanding fluid flow in a wide range of applications. For more information you can read about it in the following Navier-Stokes Equations page from NASA.

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.

Complete Cubic inches per minute conversion table

Enter # of Cubic inches per minute
Convert 1 in3/min to other unitsResult
Cubic inches per minute to Cubic Millimeters per second (in3/min to mm3/s)273.11647444617
Cubic inches per minute to Cubic Centimeters per second (in3/min to cm3/s)0.2731164744462
Cubic inches per minute to Cubic Decimeters per second (in3/min to dm3/s)0.0002731164744462
Cubic inches per minute to Cubic Decimeters per minute (in3/min to dm3/min)0.01638698846677
Cubic inches per minute to Cubic Decimeters per hour (in3/min to dm3/h)0.9832193080062
Cubic inches per minute to Cubic Decimeters per day (in3/min to dm3/d)23.597263392149
Cubic inches per minute to Cubic Decimeters per year (in3/min to dm3/a)8618.9004539824
Cubic inches per minute to Millilitres per second (in3/min to ml/s)0.2731164744462
Cubic inches per minute to Centilitres per second (in3/min to cl/s)0.02731164744462
Cubic inches per minute to Decilitres per second (in3/min to dl/s)0.002731164744462
Cubic inches per minute to Litres per second (in3/min to l/s)0.0002731164744462
Cubic inches per minute to Litres per minute (in3/min to l/min)0.01638698846677
Cubic inches per minute to Litres per hour (in3/min to l/h)0.9832193080062
Cubic inches per minute to Litres per day (in3/min to l/d)23.597263392149
Cubic inches per minute to Litres per year (in3/min to l/a)8618.9004539824
Cubic inches per minute to Kilolitres per second (in3/min to kl/s)2.7311647444617e-7
Cubic inches per minute to Kilolitres per minute (in3/min to kl/min)0.00001638698846677
Cubic inches per minute to Kilolitres per hour (in3/min to kl/h)0.0009832193080062
Cubic inches per minute to Cubic meters per second (in3/min to m3/s)2.7311647444617e-7
Cubic inches per minute to Cubic meters per minute (in3/min to m3/min)0.00001638698846677
Cubic inches per minute to Cubic meters per hour (in3/min to m3/h)0.0009832193080062
Cubic inches per minute to Cubic meters per day (in3/min to m3/d)0.02359726339215
Cubic inches per minute to Cubic meters per year (in3/min to m3/a)8.6189004539824
Cubic inches per minute to Cubic kilometers per second (in3/min to km3/s)2.7311647444617e-16
Cubic inches per minute to Teaspoons per second (in3/min to tsp/s)0.055411
Cubic inches per minute to Tablespoons per second (in3/min to Tbs/s)0.01847033333333
Cubic inches per minute to Cubic inches per second (in3/min to in3/s)0.01666666666667
Cubic inches per minute to Cubic inches per hour (in3/min to in3/h)60
Cubic inches per minute to Fluid Ounces per second (in3/min to fl-oz/s)0.009235166666667
Cubic inches per minute to Fluid Ounces per minute (in3/min to fl-oz/min)0.55411
Cubic inches per minute to Fluid Ounces per hour (in3/min to fl-oz/h)33.2466
Cubic inches per minute to Cups per second (in3/min to cup/s)0.001154395833333
Cubic inches per minute to Pints per second (in3/min to pnt/s)0.0005771979166667
Cubic inches per minute to Pints per minute (in3/min to pnt/min)0.034631875
Cubic inches per minute to Pints per hour (in3/min to pnt/h)2.0779125
Cubic inches per minute to Quarts per second (in3/min to qt/s)0.0002885989583333
Cubic inches per minute to Gallons per second (in3/min to gal/s)0.00007214973958333
Cubic inches per minute to Gallons per minute (in3/min to gal/min)0.004328984375
Cubic inches per minute to Gallons per hour (in3/min to gal/h)0.2597390625
Cubic inches per minute to Cubic feet per second (in3/min to ft3/s)0.00000964502224181
Cubic inches per minute to Cubic feet per minute (in3/min to ft3/min)0.0005787013345086
Cubic inches per minute to Cubic feet per hour (in3/min to ft3/h)0.03472208007052
Cubic inches per minute to Cubic yards per second (in3/min to yd3/s)3.5722252092302e-7
Cubic inches per minute to Cubic yards per minute (in3/min to yd3/min)0.00002143335125538
Cubic inches per minute to Cubic yards per hour (in3/min to yd3/h)0.001286001075323

Volume flow rate conversions