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Cubic inches per hour (in3/h) to Cubic yards per second (yd3/s) conversion

Cubic inches per hour to Cubic yards per second conversion table

Cubic inches per hour (in3/h)Cubic yards per second (yd3/s)
00
15.9537086820504e-9
21.1907417364101e-8
31.7861126046151e-8
42.3814834728202e-8
52.9768543410252e-8
63.5722252092302e-8
74.1675960774353e-8
84.7629669456403e-8
95.3583378138454e-8
105.9537086820504e-8
201.1907417364101e-7
301.7861126046151e-7
402.3814834728202e-7
502.9768543410252e-7
603.5722252092302e-7
704.1675960774353e-7
804.7629669456403e-7
905.3583378138454e-7
1005.9537086820504e-7
10000.00000595370868205

How to convert cubic inches per hour to cubic yards per second?

To convert from cubic inches per hour (in³/hr) to cubic yards per second (yd³/s), you need to follow these steps:

  1. Convert cubic inches to cubic yards:

    • There are 36 inches in a yard, meaning there are 363=46,65636^3 = 46,656 cubic inches in a cubic yard.

  2. Convert hours to seconds:

    • There are 3600 seconds in an hour.

So, to convert cubic inches per hour to cubic yards per second, you use the following relationship:

1 in3/hr=1 in346,656 yd3×1 hr3,600 s1 \ \text{in}^3/\text{hr} = \frac{1 \ \text{in}^3}{46,656 \ \text{yd}^3} \times \frac{1 \ \text{hr}}{3,600 \ \text{s}}

Simplifying that gives:

1 in3/hr=146,656×3,600 yd3/s1 \ \text{in}^3/\text{hr} = \frac{1}{46,656 \times 3,600} \ \text{yd}^3/\text{s}

1 in3/hr=1167,961,600 yd3/s≈5.96×10−9 yd3/s1 \ \text{in}^3/\text{hr} = \frac{1}{167,961,600} \ \text{yd}^3/\text{s} \approx 5.96 \times 10^{-9} \ \text{yd}^3/\text{s}

Real-world Examples:

  1. Small Pumping System for an Aquarium:

    • Suppose you have an aquarium pump that moves water at a rate of 10,000 cubic inches per hour. 10,000 in3/hr≈10,000×5.96×10−9 yd3/s10,000 \ \text{in}^3/\text{hr} \approx 10,000 \times 5.96 \times 10^{-9} \ \text{yd}^3/\text{s} ≈5.96×10−5 yd3/s\approx 5.96 \times 10^{-5} \ \text{yd}^3/\text{s}

  2. Car Engine Displacement:

    • If an engine displaces air at a rate of 600,000 cubic inches per hour. 600,000 in3/hr≈600,000×5.96×10−9 yd3/s600,000 \ \text{in}^3/\text{hr} \approx 600,000 \times 5.96 \times 10^{-9} \ \text{yd}^3/\text{s} ≈3.58×10−3 yd3/s\approx 3.58 \times 10^{-3} \ \text{yd}^3/\text{s}

  3. Water Flow in a Small Irrigation System:

    • Imagine an irrigation system that delivers water at 1,500 cubic inches per hour. 1,500 in3/hr≈1,500×5.96×10−9 yd3/s1,500 \ \text{in}^3/\text{hr} \approx 1,500 \times 5.96 \times 10^{-9} \ \text{yd}^3/\text{s} ≈8.94×10−6 yd3/s\approx 8.94 \times 10^{-6} \ \text{yd}^3/\text{s}

By understanding these conversions and real-world examples, you can relate cubic inches per hour to cubic yards per second and apply this to various practical 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 yards per second to other unit conversions.

What is cubic inches per hour?

Cubic inches per hour is a unit of volume flow rate. The following sections describe cubic inches per hour in more detail.

Understanding Cubic Inches per Hour

Cubic inches per hour (in$^3$/hr) is a unit used to measure the volume of a substance (liquid or gas) that flows past a certain point in a specific amount of time. It indicates how many cubic inches of a substance move within one hour.

Formation of Cubic Inches per Hour

This unit is derived from two base units:

  • Cubic inch (in$^3$): A unit of volume. It represents the volume of a cube with sides of 1 inch each.
  • Hour (hr): A unit of time.

The unit is formed by dividing a volume expressed in cubic inches by a time expressed in hours, resulting in a rate of flow:

Volume Flow Rate=Volume (in3)Time (hr)\text{Volume Flow Rate} = \frac{\text{Volume (in}^3)}{\text{Time (hr)}}

Applications of Cubic Inches per Hour

Cubic inches per hour is practically used in real-world applications where the measurement of slow, very small volume flow rate is important. The SI unit for Volume flow rate is m3/sm^3/s. Some examples are:

  • Small Engine Fuel Consumption: Measuring the fuel consumption of small engines, such as those in lawnmowers or model airplanes.
  • Medical Devices: Infusion pumps may use this unit to measure how slowly medicine flows into the patient.
  • Hydraulics: Very small scale of hydraulic flow, where precision is needed.
  • 3D Printing: Material extrusion volume in 3D printing, particularly for small-scale or intricate designs.

Conversion to Other Units

Cubic inches per hour can be converted to other units of volume flow rate, such as:

  • Cubic feet per hour (ft$^3$/hr)
  • Gallons per hour (gal/hr)
  • Liters per hour (L/hr)
  • Cubic meters per second (m$^3$/s)

Flow Rate

Flow rate, generally speaking, plays an important role in many different areas of science and engineering. For example, cardiovascular system uses the concept of flow rate to determine blood flow.

For more information check out this wikipedia page

What is cubic yards per second?

Cubic yards per second (yd³/s) is a unit for measuring volume flow rate, indicating the volume of a substance that passes through a specific area per unit of time. It's primarily used in contexts involving large volumes, such as river flow, irrigation, and industrial processes.

Definition of Cubic Yards per Second

Cubic yards per second is a unit of flow. Specifically, it represents the amount of volume measured in cubic yards that passes a given point every second. One cubic yard is the volume of a cube with sides one yard (3 feet) long. Therefore, one cubic yard per second is equivalent to a volume of 27 cubic feet passing a point in one second.

Formation of the Unit

Cubic yards per second is derived from two fundamental units:

  • Cubic Yard (yd³): A unit of volume, representing the space occupied by a cube with sides of one yard (3 feet) in length.

    1 yd=3 ft1 \text{ yd} = 3 \text{ ft}

    1 yd3=(3 ft)3=27 ft31 \text{ yd}^3 = (3 \text{ ft})^3 = 27 \text{ ft}^3

  • Second (s): The base unit of time in the International System of Units (SI).

Combining these, cubic yards per second (yd³/s) expresses volume flow rate:

Volume Flow Rate=Volume (yd3)Time (s)\text{Volume Flow Rate} = \frac{\text{Volume (yd}^3)}{\text{Time (s)}}

Applications and Examples

Cubic yards per second is particularly useful for quantifying large-scale fluid movements. Here are a few examples:

  • River Flow: The flow rate of large rivers is often measured in cubic yards per second. For example, the average flow rate of the Mississippi River is around 600,000 cubic feet per second, which is approximately 22,222 cubic yards per second.

  • Irrigation: Large-scale irrigation projects use water flow rates that can be conveniently expressed in cubic yards per second to manage water distribution effectively.

  • Wastewater Treatment: Wastewater treatment plants handle significant volumes of water, and flow rates might be measured in cubic yards per second, especially in larger facilities.

  • Industrial Processes: Certain industrial processes, such as mining or chemical production, involve the movement of large volumes of liquids or slurries. These flows can be measured and managed using cubic yards per second.

Conversions

To provide context, here are some conversions to other common units of volume flow rate:

  • 1 yd³/s = 27 ft³/s (cubic feet per second)
  • 1 yd³/s ≈ 764.55 liters/s
  • 1 yd³/s ≈ 0.76455 m³/s (cubic meters per second)

Historical Context

While there isn't a specific law or person directly associated with the "invention" of cubic yards per second, the understanding and measurement of fluid flow have been crucial in engineering and physics for centuries. Figures like Henri Pitot (known for the Pitot tube, used to measure fluid velocity) and Henry Darcy (known for Darcy's Law describing flow through porous media) have contributed significantly to the science of fluid dynamics, which underpins the use of units like cubic yards per second.

For more information on volume flow rate and related concepts, you can refer to resources such as:

Complete Cubic inches per hour conversion table

Enter # of Cubic inches per hour
Convert 1 in3/h to other unitsResult
Cubic inches per hour to Cubic Millimeters per second (in3/h to mm3/s)4.5519412407695
Cubic inches per hour to Cubic Centimeters per second (in3/h to cm3/s)0.004551941240769
Cubic inches per hour to Cubic Decimeters per second (in3/h to dm3/s)0.000004551941240769
Cubic inches per hour to Cubic Decimeters per minute (in3/h to dm3/min)0.0002731164744462
Cubic inches per hour to Cubic Decimeters per hour (in3/h to dm3/h)0.01638698846677
Cubic inches per hour to Cubic Decimeters per day (in3/h to dm3/d)0.3932877232025
Cubic inches per hour to Cubic Decimeters per year (in3/h to dm3/a)143.64834089971
Cubic inches per hour to Millilitres per second (in3/h to ml/s)0.004551941240769
Cubic inches per hour to Centilitres per second (in3/h to cl/s)0.0004551941240769
Cubic inches per hour to Decilitres per second (in3/h to dl/s)0.00004551941240769
Cubic inches per hour to Litres per second (in3/h to l/s)0.000004551941240769
Cubic inches per hour to Litres per minute (in3/h to l/min)0.0002731164744462
Cubic inches per hour to Litres per hour (in3/h to l/h)0.01638698846677
Cubic inches per hour to Litres per day (in3/h to l/d)0.3932877232025
Cubic inches per hour to Litres per year (in3/h to l/a)143.64834089971
Cubic inches per hour to Kilolitres per second (in3/h to kl/s)4.5519412407695e-9
Cubic inches per hour to Kilolitres per minute (in3/h to kl/min)2.7311647444617e-7
Cubic inches per hour to Kilolitres per hour (in3/h to kl/h)0.00001638698846677
Cubic inches per hour to Cubic meters per second (in3/h to m3/s)4.5519412407695e-9
Cubic inches per hour to Cubic meters per minute (in3/h to m3/min)2.7311647444617e-7
Cubic inches per hour to Cubic meters per hour (in3/h to m3/h)0.00001638698846677
Cubic inches per hour to Cubic meters per day (in3/h to m3/d)0.0003932877232025
Cubic inches per hour to Cubic meters per year (in3/h to m3/a)0.1436483408997
Cubic inches per hour to Cubic kilometers per second (in3/h to km3/s)4.5519412407695e-18
Cubic inches per hour to Teaspoons per second (in3/h to tsp/s)0.0009235166666667
Cubic inches per hour to Tablespoons per second (in3/h to Tbs/s)0.0003078388888889
Cubic inches per hour to Cubic inches per second (in3/h to in3/s)0.0002777777777778
Cubic inches per hour to Cubic inches per minute (in3/h to in3/min)0.01666666666667
Cubic inches per hour to Fluid Ounces per second (in3/h to fl-oz/s)0.0001539194444444
Cubic inches per hour to Fluid Ounces per minute (in3/h to fl-oz/min)0.009235166666667
Cubic inches per hour to Fluid Ounces per hour (in3/h to fl-oz/h)0.55411
Cubic inches per hour to Cups per second (in3/h to cup/s)0.00001923993055556
Cubic inches per hour to Pints per second (in3/h to pnt/s)0.000009619965277778
Cubic inches per hour to Pints per minute (in3/h to pnt/min)0.0005771979166667
Cubic inches per hour to Pints per hour (in3/h to pnt/h)0.034631875
Cubic inches per hour to Quarts per second (in3/h to qt/s)0.000004809982638889
Cubic inches per hour to Gallons per second (in3/h to gal/s)0.000001202495659722
Cubic inches per hour to Gallons per minute (in3/h to gal/min)0.00007214973958333
Cubic inches per hour to Gallons per hour (in3/h to gal/h)0.004328984375
Cubic inches per hour to Cubic feet per second (in3/h to ft3/s)1.6075037069684e-7
Cubic inches per hour to Cubic feet per minute (in3/h to ft3/min)0.00000964502224181
Cubic inches per hour to Cubic feet per hour (in3/h to ft3/h)0.0005787013345086
Cubic inches per hour to Cubic yards per second (in3/h to yd3/s)5.9537086820504e-9
Cubic inches per hour to Cubic yards per minute (in3/h to yd3/min)3.5722252092302e-7
Cubic inches per hour to Cubic yards per hour (in3/h to yd3/h)0.00002143335125538

Volume flow rate conversions