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Cubic Millimeters per second (mm³/s) to Pints per hour (pnt/h) conversion

Cubic Millimeters per second to Pints per hour conversion table

Cubic Millimeters per second (mm³/s)	Pints per hour (pnt/h)
0	0
1	0.0076081551075
2	0.015216310215
3	0.0228244653225
4	0.03043262043
5	0.0380407755375
6	0.045648930645
7	0.0532570857525
8	0.06086524086
9	0.0684733959675
10	0.076081551075
20	0.15216310215
30	0.228244653225
40	0.3043262043
50	0.380407755375
60	0.45648930645
70	0.532570857525
80	0.6086524086
90	0.684733959675
100	0.76081551075
1000	7.6081551075

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

Understanding the conversion between cubic millimeters per second and pints per hour involves bridging the metric and imperial systems. This page provides the formulas and steps needed to accurately convert between these two units.

Conversion Formulas

To convert cubic millimeters per second ( $mm^3/s$ ) to pints per hour (pt/hr), you'll need to use a conversion factor that relates volume and time. The primary conversions are as follows:

1 milliliter (mL) = 1000 cubic millimeters ( $mm^3$ )
1 liter (L) = 1000 mL
1 US pint ≈ 0.473176 liters (L)
1 hour = 3600 seconds (s)

Combining these, we derive the conversion formula:

1 \, \frac{mm^3}{s} = \frac{1 \, mL}{1000 \, s} = \frac{1 \, L}{10^6 \, s} = \frac{3600 \, L}{10^6 \, hr}

\frac{3600 \, L}{10^6 \, hr} \times \frac{1 \, pt}{0.473176 \, L} \approx 0.007608 \, \frac{pt}{hr}

Therefore:

1 \, \frac{mm^3}{s} \approx 0.007608 \, \frac{pt}{hr}

To convert pints per hour (pt/hr) back to cubic millimeters per second ( $mm^3/s$ ):

1 \, \frac{pt}{hr} \approx \frac{0.473176 \, L}{hr} = \frac{0.473176 \times 10^6 \, mm^3}{3600 \, s}

1 \, \frac{pt}{hr} \approx 131.4378 \, \frac{mm^3}{s}

Therefore:

1 \, \frac{pt}{hr} \approx 131.4378 \, \frac{mm^3}{s}

Step-by-Step Conversion Instructions

Converting 1 Cubic Millimeter per Second to Pints per Hour:

Start with the value in cubic millimeters per second: 1 $mm^3/s$
Apply the conversion factor: Multiply by approximately 0.007608. $1 \, \frac{mm^3}{s} \times 0.007608 \, \frac{pt/hr}{mm^3/s} \approx 0.007608 \, \frac{pt}{hr}$

Converting 1 Pint per Hour to Cubic Millimeters per Second:

Start with the value in pints per hour: 1 pt/hr
Apply the conversion factor: Multiply by approximately 131.4378. $1 \, \frac{pt}{hr} \times 131.4378 \, \frac{mm^3/s}{pt/hr} \approx 131.4378 \, \frac{mm^3}{s}$

Real-World Examples

While directly converting cubic millimeters per second to pints per hour isn't a common everyday task, understanding volume flow rates is crucial in various fields. Here are related examples:

Medical Infusion Rates: In medicine, infusion rates are critical. For instance, a doctor might prescribe an IV drip at a rate of 5 mL/min. This is equivalent to 5000 $mm^3/s$ . Converting this to pints per hour: $5000 \, \frac{mm^3}{s} \times 0.007608 \, \frac{pt/hr}{mm^3/s} \approx 38.04 \, \frac{pt}{hr}$
Industrial Processes: In manufacturing, controlling the flow rate of liquids is vital. For example, a machine might dispense a fluid at 100 $mm^3/s$ . To determine the equivalent in pints per hour: $100 \, \frac{mm^3}{s} \times 0.007608 \, \frac{pt/hr}{mm^3/s} \approx 0.7608 \, \frac{pt}{hr}$
Hydraulic Systems: Understanding flow rates is essential in hydraulic systems. If a small hydraulic pump moves fluid at 200 $mm^3/s$ : $200 \, \frac{mm^3}{s} \times 0.007608 \, \frac{pt/hr}{mm^3/s} \approx 1.5216 \, \frac{pt}{hr}$

Historical Context

While there isn't a specific law or historical figure directly associated with the cubic millimeters per second to pints per hour conversion, the development of standardized units of measurement has been a long and complex process. The metric system, which includes cubic millimeters, emerged from the French Revolution in the late 18th century, aiming to create a universal and rational system of measurement. The imperial system, which includes pints, has its roots in medieval England and has evolved over centuries through custom and legislation.

For further reading on the history of measurement systems, resources like the National Institute of Standards and Technology (NIST) provide valuable information.

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 Pints per hour to other unit conversions.

What is Cubic Millimeters per Second?

Cubic millimeters per second ( $mm^3/s$ ) 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 $mm^3/s$ is derived from the base units of volume (cubic millimeters) and time (seconds).

Cubic Millimeter ( $mm^3$ ): 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, $mm^3/s$ expresses the volume in cubic millimeters that flows or passes through a point in one second.

Flow Rate Formula

The flow rate ( $Q$ ) can be defined mathematically as:

Q = \frac{V}{t}

Where:

$Q$ is the flow rate ( $mm^3/s$ ).
$V$ is the volume ( $mm^3$ ).
$t$ 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 $mm^3/s$ 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 $mm^3/s$ .
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 $mm^3/s$ .
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 $mm^3/s$ .

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 pints per hour?

What is Pints per hour?

Pints per hour (pint/h) is a unit of volumetric flow rate, commonly used to express how much volume of a liquid is moving per unit of time. It is primarily used in the United States and some other countries that still use the imperial system of measurement. Let's break down what that means in simpler terms.

Understanding Pints and Hours

Pint: A pint is a unit of volume in the imperial and US customary systems. There are different types of pints such as US liquid pint, US dry pint and Imperial pint.
Hour: An hour is a unit of time.

Combining these, "pints per hour" tells you how many pints of a substance are flowing or being transferred in one hour.

Defining Pints per Hour

Pints per hour (pint/h) is a unit of volumetric flow rate. Volumetric flow rate also know as volume flow rate measure the amount of volume passes through a cross-sectional area per unit of time.

The formula for calculating flow rate is:

Q = \frac{V}{t}