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

Cubic inches per hour to Cubic inches per second conversion table

Cubic inches per hour (in3/h)Cubic inches per second (in3/s)
00
10.0002777777777778
20.0005555555555556
30.0008333333333333
40.001111111111111
50.001388888888889
60.001666666666667
70.001944444444444
80.002222222222222
90.0025
100.002777777777778
200.005555555555556
300.008333333333333
400.01111111111111
500.01388888888889
600.01666666666667
700.01944444444444
800.02222222222222
900.025
1000.02777777777778
10000.2777777777778

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

To convert cubic inches per hour to cubic inches per second, you need to understand the relationship between hours and seconds. There are 3600 seconds in an hour (since 1 hour = 60 minutes and 1 minute = 60 seconds, thus 60×60=360060 \times 60 = 3600).

To convert cubic inches per hour (in³/hr) to cubic inches per second (in³/sec), you simply divide the volume flow rate by 3600.

Here's the formula:

1in³/hr=1in³3600seconds=13600in³/sec0.00027778in³/sec 1 \, \text{in³/hr} = \frac{1 \, \text{in³}}{3600 \, \text{seconds}} = \frac{1}{3600} \, \text{in³/sec} \approx 0.00027778 \, \text{in³/sec}

Real World Examples:

  1. Small Aquarium Filter:

    • A small aquarium filter might process 1800 cubic inches per hour.
    • To convert: 1800in³/hr=18003600in³/sec=0.5in³/sec 1800 \, \text{in³/hr} = \frac{1800}{3600} \, \text{in³/sec} = 0.5 \, \text{in³/sec}
  2. Inkjet Printer Cartridge:

    • Suppose an inkjet printer uses 720 cubic inches of ink per hour during heavy printing.
    • To convert: 720in³/hr=7203600in³/sec=0.2in³/sec 720 \, \text{in³/hr} = \frac{720}{3600} \, \text{in³/sec} = 0.2 \, \text{in³/sec}
  3. Industrial Flow Rate:

    • An industrial machine might have a cooling fluid flow rate of 360,000 cubic inches per hour.
    • To convert: 360,000in³/hr=360,0003600in³/sec=100in³/sec 360,000 \, \text{in³/hr} = \frac{360,000}{3600} \, \text{in³/sec} = 100 \, \text{in³/sec}

These examples demonstrate how different devices or systems utilize specific flow rates in cubic inches per hour, and how those rates can be converted to a per-second basis for more precise understanding or control.

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 inches 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 Inches per Second?

Cubic inches per second (in$^3$/s) is a unit of flow rate that expresses the volume of a substance passing through a cross-sectional area per unit time. Specifically, it measures how many cubic inches of a substance flow past a point in one second.

Formation of Cubic Inches per Second

This unit is derived from the fundamental units of volume (cubic inches) and time (seconds). It's a volumetric flow rate, calculated as:

Flow Rate=VolumeTime\text{Flow Rate} = \frac{\text{Volume}}{\text{Time}}

In this case:

  • Volume is measured in cubic inches (in$^3$). 1 cubic inch is equal to 16.3871 cm316.3871 \text{ cm}^3.
  • Time is measured in seconds (s).

Therefore, 1 in$^3$/s means that one cubic inch of a substance flows past a specific point in one second.

Real-World Applications and Examples

Understanding the scale of cubic inches per second is easier with real-world examples:

  • Small Engine Displacement: The displacement of small engines, like those in lawnmowers or motorcycles, can be expressed in cubic inches. While not directly a flow rate, it represents the total volume displaced by the pistons during one engine cycle, influencing performance. A larger displacement generally means more power.

  • Hydraulic Systems: In hydraulic systems, such as those used in heavy machinery or braking systems, flow rates are crucial. The rate at which hydraulic fluid flows through valves and cylinders, often measured in gallons per minute (GPM), can be converted to cubic inches per second to ensure precise control and operation. One GPM equals 0.0631 in$^3$/s

  • Fuel Injectors: Fuel injectors in internal combustion engines control the flow of fuel into the cylinders. The flow rate of fuel injectors is critical for engine performance and emissions. While often measured in other units, these rates can be converted to cubic inches per second for comparison.

  • HVAC Systems: Airflow in heating, ventilation, and air conditioning (HVAC) systems is often measured in cubic feet per minute (CFM). CFM can be converted to cubic inches per second to quantify the amount of air being circulated. One CFM equals 1.728 in$^3$/s

Interesting Facts and Related Concepts

  • Dimensional Analysis: When working with flow rates, dimensional analysis is crucial to ensure consistent units. Converting between different units of volume and time (e.g., gallons per minute to cubic inches per second) requires careful attention to conversion factors.

  • Fluid Dynamics: The study of fluid dynamics relies heavily on the concept of flow rate. Principles like the conservation of mass and Bernoulli's equation are used to analyze and predict fluid behavior in various systems. Bernoulli's principle is a statement about conservation of energy for fluids.

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