Cubic Millimeters per second (mm3/s) to Litres per second (l/s) conversion

Cubic Millimeters per second to Litres per second conversion table

Cubic Millimeters per second (mm3/s)Litres per second (l/s)
00
10.000001
20.000002
30.000003
40.000004
50.000005
60.000006
70.000007
80.000008
90.000009
100.00001
200.00002
300.00003
400.00004
500.00005
600.00006
700.00007
800.00008
900.00009
1000.0001
10000.001

How to convert cubic millimeters per second to litres per second?

Cubic millimeters per second (mm3/smm^3/s) and liters per second (L/sL/s) are both units of volume flow rate, commonly used in various scientific and engineering applications. Here's how to convert between them.

Understanding the Conversion

The key to converting between cubic millimeters per second and liters per second lies in understanding the relationship between these volume units.

  • 1 liter (L) = 1000cm31000 cm^3
  • 1 cm3cm^3 = 1000mm31000 mm^3

Therefore:

1L=1000×1000mm3=1,000,000mm3=106mm31 L = 1000 \times 1000 mm^3 = 1,000,000 mm^3 = 10^6 mm^3

This relationship applies to both base-10 (decimal) and base-2 (binary) systems since we are dealing with metric prefixes.

Converting Cubic Millimeters per Second to Liters per Second

To convert from cubic millimeters per second (mm3/smm^3/s) to liters per second (L/sL/s), use the following conversion factor:

1mm3s=11,000,000Ls=106Ls1 \frac{mm^3}{s} = \frac{1}{1,000,000} \frac{L}{s} = 10^{-6} \frac{L}{s}

Step-by-Step Conversion:

  1. Start with the value in mm3/smm^3/s.
  2. Multiply by 10610^{-6}.

Example:

Convert 1 mm3/smm^3/s to L/sL/s:

1mm3s×106L/smm3/s=106Ls1 \frac{mm^3}{s} \times 10^{-6} \frac{L/s}{mm^3/s} = 10^{-6} \frac{L}{s}

So, 1 cubic millimeter per second is equal to 10610^{-6} or 0.000001 liters per second.

Converting Liters per Second to Cubic Millimeters per Second

To convert from liters per second (L/sL/s) to cubic millimeters per second (mm3/smm^3/s), use the reciprocal of the previous conversion factor:

1Ls=1,000,000mm3s=106mm3s1 \frac{L}{s} = 1,000,000 \frac{mm^3}{s} = 10^6 \frac{mm^3}{s}

Step-by-Step Conversion:

  1. Start with the value in L/sL/s.
  2. Multiply by 10610^6.

Example:

Convert 1 L/sL/s to mm3/smm^3/s:

1Ls×106mm3/sL/s=106mm3s1 \frac{L}{s} \times 10^6 \frac{mm^3/s}{L/s} = 10^6 \frac{mm^3}{s}

Thus, 1 liter per second is equal to 10610^6 or 1,000,000 cubic millimeters per second.

Real-World Examples

  1. Medical Infusion: Intravenous (IV) drips administer fluids at a controlled rate. A typical IV drip rate might be 5 mm3/smm^3/s, equivalent to 5×106L/s5 \times 10^{-6} L/s.
  2. Small Engine Fuel Consumption: The fuel consumption of a small engine might be measured as 0.1 L/sL/s, equivalent to 105mm3/s10^5 mm^3/s.
  3. Laboratory Experiments: Microfluidic devices often deal with flow rates in the mm3/smm^3/s range. For instance, a flow rate of 10 mm3/smm^3/s in such a device is equal to 10×106L/s10 \times 10^{-6} L/s.

Historical Context

While there isn't a specific law or famous person directly associated with the cubic millimeter to liter conversion, the development of the metric system itself is tied to the French Revolution and scientists like Antoine Lavoisier, who helped standardize units of measurement. The consistent relationship between metric units simplifies conversions and calculations 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 Litres per second 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 Litres per second?

Litres per second (L/s) is a unit used to measure volume flow rate, indicating the volume of liquid or gas that passes through a specific point in one second. It is a common unit in various fields, particularly in engineering, hydrology, and medicine, where measuring fluid flow is crucial.

Understanding Litres per Second

A litre is a metric unit of volume equal to 0.001 cubic meters (m3m^3). Therefore, one litre per second represents 0.001 cubic meters of fluid passing a point every second.

The relationship can be expressed as:

1L/s=0.001m3/s1 \, \text{L/s} = 0.001 \, \text{m}^3\text{/s}

How Litres per Second is Formed

Litres per second is derived by dividing a volume measured in litres by a time measured in seconds:

Volume Flow Rate (L/s)=Volume (L)Time (s)\text{Volume Flow Rate (L/s)} = \frac{\text{Volume (L)}}{\text{Time (s)}}

For example, if 5 litres of water flow from a tap in 1 second, the flow rate is 5 L/s.

Applications and Examples

  • Household Water Usage: A typical shower might use water at a rate of 0.1 to 0.2 L/s.
  • River Discharge: Measuring the flow rate of rivers is crucial for water resource management and flood control. A small stream might have a flow rate of a few L/s, while a large river can have a flow rate of hundreds or thousands of cubic meters per second.
  • Medical Applications: In medical settings, IV drip rates or ventilator flow rates are often measured in millilitres per second (mL/s) or litres per minute (L/min), which can be easily converted to L/s. For example, a ventilator might deliver air at a rate of 1 L/s to a patient.
  • Industrial Processes: Many industrial processes involve controlling the flow of liquids or gases. For example, a chemical plant might use pumps to transfer liquids at a rate of several L/s.
  • Firefighting: Fire hoses deliver water at high flow rates to extinguish fires, often measured in L/s. A typical fire hose might deliver water at a rate of 15-20 L/s.

Relevant Laws and Principles

While there isn't a specific "law" directly named after litres per second, the measurement is heavily tied to principles of fluid dynamics, particularly:

  • Continuity Equation: This equation states that for incompressible fluids, the mass flow rate is constant throughout a pipe or channel. It's mathematically expressed as:

    A1v1=A2v2A_1v_1 = A_2v_2

    Where:

    • AA is the cross-sectional area of the flow.
    • vv is the velocity of the fluid.
  • Bernoulli's Principle: This principle relates the pressure, velocity, and height of a fluid in a flow. It's essential for understanding how flow rate affects pressure in fluid systems.

Interesting Facts

  • Understanding flow rates is essential in designing efficient plumbing systems, irrigation systems, and hydraulic systems.
  • Flow rate measurements are crucial for environmental monitoring, helping to assess water quality and track pollution.
  • The efficient management of water resources depends heavily on accurate measurement and control of flow rates.

For further reading, explore resources from reputable engineering and scientific organizations, such as the American Society of Civil Engineers or the International Association for Hydro-Environment Engineering and Research.

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