Cubic Millimeters per second (mm3/s) to Cubic inches per hour (in3/h) conversion

Cubic Millimeters per second to Cubic inches per hour conversion table

Cubic Millimeters per second (mm3/s)Cubic inches per hour (in3/h)
00
10.2196864913465
20.439372982693
30.6590594740395
40.8787459653859
51.0984324567324
61.3181189480789
71.5378054394254
81.7574919307719
91.9771784221184
102.1968649134648
204.3937298269297
306.5905947403945
408.7874596538593
5010.984324567324
6013.181189480789
7015.378054394254
8017.574919307719
9019.771784221184
10021.968649134648
1000219.68649134648

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

Understanding Volume Flow Rate Conversion

Converting between cubic millimeters per second (mm3/smm^3/s) and cubic inches per hour (in3/hrin^3/hr) involves understanding the relationship between these units. This type of conversion is common in fields like engineering, fluid dynamics, and manufacturing, where precise control of flow rates is essential.

Conversion Factors

To convert between mm3/smm^3/s and in3/hrin^3/hr, you need the following conversion factors:

  • 1 inch = 25.4 mm (exactly)
  • 1 hour = 3600 seconds

Converting Cubic Millimeters per Second to Cubic Inches per Hour

Here's the step-by-step conversion of 1 mm3/smm^3/s to in3/hrin^3/hr:

  1. Cubic Millimeters to Cubic Inches: Since 1 inch = 25.4 mm, then 1in3=(25.4mm)3=16387.064mm31 in^3 = (25.4 mm)^3 = 16387.064 mm^3

    Therefore, 1mm3=116387.064in31 mm^3 = \frac{1}{16387.064} in^3

  2. Seconds to Hours: 1 hour = 3600 seconds, so 1s=13600hr1 s = \frac{1}{3600} hr

  3. Combining the Conversions:

    1mm3s=1mm3s×1in316387.064mm3×3600s1hr1 \frac{mm^3}{s} = 1 \frac{mm^3}{s} \times \frac{1 in^3}{16387.064 mm^3} \times \frac{3600 s}{1 hr}

    1mm3s=360016387.064in3hr1 \frac{mm^3}{s} = \frac{3600}{16387.064} \frac{in^3}{hr}

    1mm3s0.21966in3hr1 \frac{mm^3}{s} \approx 0.21966 \frac{in^3}{hr}

    Therefore, 1 cubic millimeter per second is approximately equal to 0.21966 cubic inches per hour.

Converting Cubic Inches per Hour to Cubic Millimeters per Second

Here's how to convert 1 in3/hrin^3/hr to mm3/smm^3/s:

  1. Cubic Inches to Cubic Millimeters:

    1in3=16387.064mm31 in^3 = 16387.064 mm^3

  2. Hours to Seconds:

    1hr=3600s1 hr = 3600 s

  3. Combining the Conversions:

    1in3hr=1in3hr×16387.064mm31in3×1hr3600s1 \frac{in^3}{hr} = 1 \frac{in^3}{hr} \times \frac{16387.064 mm^3}{1 in^3} \times \frac{1 hr}{3600 s}

    1in3hr=16387.0643600mm3s1 \frac{in^3}{hr} = \frac{16387.064}{3600} \frac{mm^3}{s}

    1in3hr4.55196mm3s1 \frac{in^3}{hr} \approx 4.55196 \frac{mm^3}{s}

    Therefore, 1 cubic inch per hour is approximately equal to 4.55196 cubic millimeters per second.

Real-World Examples

  1. Medical Syringes:

    • Infusion rates for medications are often measured in mm3/smm^3/s or mL/smL/s.
    • For example, a doctor might prescribe an IV drip at a rate of 5 mm3/smm^3/s, which is equivalent to approximately 1.098 in3/hrin^3/hr.
  2. 3D Printing:

    • Material extrusion rates in 3D printing are often controlled in terms of volume per time.
    • If a 3D printer extrudes plastic at 10 mm3/smm^3/s, it's the same as extruding at approximately 2.197 in3/hrin^3/hr.
  3. Fuel Injection Systems:

    • In automotive engineering, fuel injection systems regulate fuel flow to engines.
    • A fuel injector might deliver fuel at a rate of 20 mm3/smm^3/s, equivalent to about 4.393 in3/hrin^3/hr.

Interesting Facts and Notable Figures

While there isn't a specific law or famous person directly associated with the conversion between these two units, the broader field of fluid dynamics has significant historical figures and principles.

  • Archimedes (287–212 BC): Known for his work on buoyancy and fluid displacement, Archimedes laid foundational principles related to fluid volume and flow.
  • Daniel Bernoulli (1700-1782): Developed Bernoulli's principle, which relates fluid speed to pressure. Understanding fluid flow rates is critical in applying Bernoulli's principle. Britannica - Daniel Bernoulli
  • Osborne Reynolds (1842-1912): Known for the Reynolds number, a dimensionless quantity that helps predict flow patterns in different fluid flow situations. Britannica - Osborne Reynolds

These pioneers and their principles underscore the importance of understanding and accurately converting volume flow rates in various scientific and engineering applications.

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 hour to other unit conversions.

What is Cubic Millimeters per Second?

Cubic millimeters per second (mm3/smm^3/s) is a unit of volumetric flow rate, indicating the volume of a substance passing through a specific area each second. It's a measure of how much volume flows within a given time frame. This unit is particularly useful when dealing with very small flow rates.

Formation of Cubic Millimeters per Second

The unit mm3/smm^3/s is derived from the base units of volume (cubic millimeters) and time (seconds).

  • Cubic Millimeter (mm3mm^3): A cubic millimeter is a unit of volume, representing a cube with sides that are each one millimeter in length.

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

Combining these, mm3/smm^3/s expresses the volume in cubic millimeters that flows or passes through a point in one second.

Flow Rate Formula

The flow rate (QQ) can be defined mathematically as:

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

Where:

  • QQ is the flow rate (mm3/smm^3/s).
  • VV is the volume (mm3mm^3).
  • tt is the time (s).

This formula indicates that the flow rate is the volume of fluid passing through a cross-sectional area per unit time.

Applications and Examples

While mm3/smm^3/s might seem like a very small unit, it's applicable in several fields:

  • Medical Devices: Infusion pumps deliver medication at precisely controlled, often very slow, flow rates. For example, a pump might deliver insulin at a rate of 5 mm3/smm^3/s.

  • Microfluidics: In microfluidic devices, used for lab-on-a-chip applications, reagents flow at very low rates. Reactions can be studied using flow rates of 1 mm3/smm^3/s.

  • 3D Printing: Some high resolution 3D printers using resin operate by very slowly dispensing material. The printer can be said to be pushing out material at 2 mm3/smm^3/s.

Relevance to Fluid Dynamics

Cubic millimeters per second relates directly to fluid dynamics, particularly in scenarios involving low Reynolds numbers, where flow is laminar and highly controlled. This is essential in applications requiring precision and minimal turbulence. You can learn more about fluid dynamics at Khan Academy's Fluid Mechanics Section.

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

Complete Cubic Millimeters per second conversion table

Enter # of Cubic Millimeters per second
Convert 1 mm3/s to other unitsResult
Cubic Millimeters per second to Cubic Centimeters per second (mm3/s to cm3/s)0.001
Cubic Millimeters per second to Cubic Decimeters per second (mm3/s to dm3/s)0.000001
Cubic Millimeters per second to Cubic Decimeters per minute (mm3/s to dm3/min)0.00006
Cubic Millimeters per second to Cubic Decimeters per hour (mm3/s to dm3/h)0.0036
Cubic Millimeters per second to Cubic Decimeters per day (mm3/s to dm3/d)0.0864
Cubic Millimeters per second to Cubic Decimeters per year (mm3/s to dm3/a)31.5576
Cubic Millimeters per second to Millilitres per second (mm3/s to ml/s)0.001
Cubic Millimeters per second to Centilitres per second (mm3/s to cl/s)0.0001
Cubic Millimeters per second to Decilitres per second (mm3/s to dl/s)0.00001
Cubic Millimeters per second to Litres per second (mm3/s to l/s)0.000001
Cubic Millimeters per second to Litres per minute (mm3/s to l/min)0.00006
Cubic Millimeters per second to Litres per hour (mm3/s to l/h)0.0036
Cubic Millimeters per second to Litres per day (mm3/s to l/d)0.0864
Cubic Millimeters per second to Litres per year (mm3/s to l/a)31.5576
Cubic Millimeters per second to Kilolitres per second (mm3/s to kl/s)1e-9
Cubic Millimeters per second to Kilolitres per minute (mm3/s to kl/min)6e-8
Cubic Millimeters per second to Kilolitres per hour (mm3/s to kl/h)0.0000036
Cubic Millimeters per second to Cubic meters per second (mm3/s to m3/s)1e-9
Cubic Millimeters per second to Cubic meters per minute (mm3/s to m3/min)6e-8
Cubic Millimeters per second to Cubic meters per hour (mm3/s to m3/h)0.0000036
Cubic Millimeters per second to Cubic meters per day (mm3/s to m3/d)0.0000864
Cubic Millimeters per second to Cubic meters per year (mm3/s to m3/a)0.0315576
Cubic Millimeters per second to Cubic kilometers per second (mm3/s to km3/s)1e-18
Cubic Millimeters per second to Teaspoons per second (mm3/s to tsp/s)0.0002028841362
Cubic Millimeters per second to Tablespoons per second (mm3/s to Tbs/s)0.0000676280454
Cubic Millimeters per second to Cubic inches per second (mm3/s to in3/s)0.00006102402537402
Cubic Millimeters per second to Cubic inches per minute (mm3/s to in3/min)0.003661441522441
Cubic Millimeters per second to Cubic inches per hour (mm3/s to in3/h)0.2196864913465
Cubic Millimeters per second to Fluid Ounces per second (mm3/s to fl-oz/s)0.0000338140227
Cubic Millimeters per second to Fluid Ounces per minute (mm3/s to fl-oz/min)0.002028841362
Cubic Millimeters per second to Fluid Ounces per hour (mm3/s to fl-oz/h)0.12173048172
Cubic Millimeters per second to Cups per second (mm3/s to cup/s)0.0000042267528375
Cubic Millimeters per second to Pints per second (mm3/s to pnt/s)0.00000211337641875
Cubic Millimeters per second to Pints per minute (mm3/s to pnt/min)0.000126802585125
Cubic Millimeters per second to Pints per hour (mm3/s to pnt/h)0.0076081551075
Cubic Millimeters per second to Quarts per second (mm3/s to qt/s)0.000001056688209375
Cubic Millimeters per second to Gallons per second (mm3/s to gal/s)2.6417205234375e-7
Cubic Millimeters per second to Gallons per minute (mm3/s to gal/min)0.00001585032314062
Cubic Millimeters per second to Gallons per hour (mm3/s to gal/h)0.0009510193884375
Cubic Millimeters per second to Cubic feet per second (mm3/s to ft3/s)3.5314684921034e-8
Cubic Millimeters per second to Cubic feet per minute (mm3/s to ft3/min)0.000002118881095262
Cubic Millimeters per second to Cubic feet per hour (mm3/s to ft3/h)0.0001271328657157
Cubic Millimeters per second to Cubic yards per second (mm3/s to yd3/s)1.3079493708587e-9
Cubic Millimeters per second to Cubic yards per minute (mm3/s to yd3/min)7.8476962251525e-8
Cubic Millimeters per second to Cubic yards per hour (mm3/s to yd3/h)0.000004708617735091

Volume flow rate conversions