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Cubic Decimeters per hour (dm³/h) to Cubic meters per minute (m³/min) conversion

Cubic Decimeters per hour to Cubic meters per minute conversion table

Cubic Decimeters per hour (dm³/h)	Cubic meters per minute (m³/min)
0	0
1	0.00001666666666667
2	0.00003333333333333
3	0.00005
4	0.00006666666666667
5	0.00008333333333333
6	0.0001
7	0.0001166666666667
8	0.0001333333333333
9	0.00015
10	0.0001666666666667
20	0.0003333333333333
30	0.0005
40	0.0006666666666667
50	0.0008333333333333
60	0.001
70	0.001166666666667
80	0.001333333333333
90	0.0015
100	0.001666666666667
1000	0.01666666666667

How to convert cubic decimeters per hour to cubic meters per minute?

Conversion between cubic decimeters per hour and cubic meters per minute involves understanding the relationships between these units of volume and time. This section will provide a clear, step-by-step guide to performing these conversions.

Understanding the Units

Cubic Decimeter ( $dm^3$ ): A unit of volume equal to a liter. 1 $dm^3$ = 1 liter.
Cubic Meter ( $m^3$ ): The standard unit of volume in the metric system. 1 $m^3$ = 1000 liters.
Hour (hr): A unit of time equal to 60 minutes.
Minute (min): A unit of time.

Conversion Factors

To convert between these units, you need two key conversion factors:

Volume: $1 m^3 = 1000 dm^3$
Time: $1 hr = 60 min$

Converting Cubic Decimeters per Hour to Cubic Meters per Minute

Here's how to convert $dm^3/hr$ to $m^3/min$ :

Convert $dm^3$ to $m^3$ : Divide by 1000.
Convert hours to minutes: Divide by 60.

Combining these steps:

1 \frac{dm^3}{hr} = 1 \frac{dm^3}{hr} \times \frac{1 m^3}{1000 dm^3} \times \frac{1 hr}{60 min}

1 \frac{dm^3}{hr} = \frac{1}{1000 \times 60} \frac{m^3}{min}

1 \frac{dm^3}{hr} = \frac{1}{60000} \frac{m^3}{min}

So, $1 \frac{dm^3}{hr} = 1.66667 \times 10^{-5} \frac{m^3}{min}$

Converting Cubic Meters per Minute to Cubic Decimeters per Hour

To convert $m^3/min$ to $dm^3/hr$ , reverse the process:

Convert $m^3$ to $dm^3$ : Multiply by 1000.
Convert minutes to hours: Multiply by 60.

1 \frac{m^3}{min} = 1 \frac{m^3}{min} \times \frac{1000 dm^3}{1 m^3} \times \frac{60 min}{1 hr}

1 \frac{m^3}{min} = 1000 \times 60 \frac{dm^3}{hr}

1 \frac{m^3}{min} = 60000 \frac{dm^3}{hr}

So, $1 \frac{m^3}{min} = 60000 \frac{dm^3}{hr}$

Real-World Examples

Water Flow Rate: Measuring the flow of water in a small stream or irrigation system. You might measure the flow in $dm^3/hr$ and need to convert it to $m^3/min$ to understand the overall water usage in a larger context.
Gas Flow: Monitoring the flow rate of gases in industrial processes. For example, the flow of methane in a biogas plant or the flow of air in a ventilation system.
Medical Applications: Infusion pumps in hospitals deliver fluids at a specific rate. While these are often measured in milliliters per hour ( $mL/hr$ ), understanding the equivalent in larger units can be useful for scaling calculations. Note: $1 mL = 1 cm^3$ , so $1 dm^3 = 1000 mL$ .
HVAC Systems: Calculating air flow rates for heating and cooling systems. Knowing the volume of air moved per hour ( $dm^3/hr$ ) helps in determining the efficiency and effectiveness of the system, and converting to $m^3/min$ can aid in designing ventilation strategies for larger spaces.

Interesting Facts

While there isn't a specific law or famous person directly associated with this specific conversion, the underlying principles are rooted in the development of the metric system, which was a product of the French Revolution. Scientists aimed to create a universal and rational system of measurement based on decimal units. The meter was defined in the late 18th century, and subsequent units like the cubic meter and cubic decimeter were derived from it. These developments greatly simplified calculations and standardization in science and engineering.

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 meters per minute to other unit conversions.

What is Cubic Decimeters per Hour?

Cubic decimeters per hour ( $dm^3/h$ ) is a unit of volume flow rate. It expresses the volume of a substance (liquid, gas, or even solid if finely dispersed) that passes through a specific point or cross-sectional area in one hour, measured in cubic decimeters. One cubic decimeter is equal to one liter.

Understanding the Components

Cubic Decimeter ( $dm^3$ )

A cubic decimeter is a unit of volume. It represents the volume of a cube with sides of 1 decimeter (10 centimeters) each.

$1 \ dm = 10 \ cm = 0.1 \ m$
$1 \ dm^3 = (0.1 \ m)^3 = 0.001 \ m^3$
$1 \ dm^3 = 1 \ liter$

Hour (h)

An hour is a unit of time.

$1 \ hour = 60 \ minutes = 3600 \ seconds$

Volume Flow Rate

Volume flow rate ( $Q$ ) is the quantity of fluid that passes per unit of time. It is mathematically represented as:

Q = \frac{V}{t}

Where:

$Q$ is the volume flow rate.
$V$ is the volume of the fluid.
$t$ is the time.

Practical Applications and Examples

While $dm^3/h$ might not be as commonly used as $m^3/h$ or liters per minute in large-scale industrial applications, it is still useful in smaller-scale and specific contexts. Here are some examples:

Drip Irrigation Systems: In small-scale drip irrigation, the flow rate of water to individual plants might be measured in $dm^3/h$ to ensure precise watering.
Laboratory Experiments: Precise fluid delivery in chemical or biological experiments can involve flow rates measured in $dm^3/h$ . For example, controlled addition of a reagent to a reaction.
Small Pumps and Dispensers: Small pumps used in aquariums or liquid dispensers might have flow rates specified in $dm^3/h$ .
Medical Applications: Infusion pumps delivering medication might operate at flow rates that can be conveniently expressed in $dm^3/h$ .

Example Calculation:

Suppose a pump transfers 50 $dm^3$ of water in 2 hours. The flow rate is:

Q = \frac{50 \ dm^3}{2 \ h} = 25 \ dm^3/h

Conversions

It's often useful to convert $dm^3/h$ to other common units of flow rate:

To $m^3/s$ (SI unit):

$1 \ dm^3/h = \frac{1}{3600000} \ m^3/s \approx 2.778 \times 10^{-7} \ m^3/s$
To Liters per Minute (L/min):

$1 \ dm^3/h = \frac{1}{60} \ L/min \approx 0.0167 \ L/min$

Related Concepts

Mass Flow Rate: While volume flow rate measures the volume of fluid passing a point per unit time, mass flow rate measures the mass of fluid. It is relevant when the density of the fluid is important.
Fluid Dynamics: The study of fluids in motion, including flow rate, pressure, and viscosity. Fluid dynamics is important in many fields such as aerospace, mechanical, and chemical engineering.

Note

While no specific law or famous person is directly associated uniquely with $dm^3/h$ , it's a straightforward application of the fundamental concepts of volume, time, and flow rate used in various scientific and engineering disciplines.

What is cubic meters per minute?

Cubic meters per minute ( $m^3/min$ ) is a unit used to express volume flow rate, indicating the volume of a substance that passes through a specific area per minute. It's commonly used to measure fluid flow rates in various applications.

Understanding Cubic Meters per Minute

Cubic meters per minute is derived from two fundamental SI units: volume (cubic meters, $m^3$ ) and time (minutes, min). One cubic meter is the volume of a cube with sides of one meter in length.

The Formula for Volume Flow Rate

Volume flow rate ( $Q$ ) is defined as the volume ( $V$ ) of a fluid passing through a cross-sectional area per unit of time ( $t$ ).

Q = \frac{V}{t}