Cubic Centimeters per second (cm3/s) to Litres per minute (l/min) conversion

Cubic Centimeters per second to Litres per minute conversion table

Cubic Centimeters per second (cm3/s)Litres per minute (l/min)
00
10.06
20.12
30.18
40.24
50.3
60.36
70.42
80.48
90.54
100.6
201.2
301.8
402.4
503
603.6
704.2
804.8
905.4
1006
100060

How to convert cubic centimeters per second to litres per minute?

Converting between cubic centimeters per second and liters per minute involves understanding the relationship between volume and time. Let's explore this conversion with step-by-step instructions and real-world examples.

Understanding the Conversion

The key to converting between cubic centimeters per second (cm3/scm^3/s) and liters per minute (L/minL/min) lies in the relationship between the cubic centimeter and the liter, and the second and the minute.

  • 1 liter (L) = 1000 cubic centimeters (cm3cm^3)
  • 1 minute = 60 seconds

These two facts are the basis for our conversions. There's no difference between base 10 and base 2 in this context, as we're dealing with standard units of volume and time.

Converting Cubic Centimeters per Second to Liters per Minute

To convert from cm3/scm^3/s to L/minL/min, you need to account for both the volume and the time. Here's the formula:

L/min=(cm3/s)(60s/min)/(1000cm3/L)L/min = (cm^3/s) * (60 s/min) / (1000 cm^3/L)

Step-by-step instruction for 1 Cubic Centimeters per second

Let's convert 1cm3/s1 cm^3/s to L/minL/min:

  1. Multiply by 60 to convert seconds to minutes: 1cm3/s60=60cm3/min1 cm^3/s * 60 = 60 cm^3/min
  2. Divide by 1000 to convert cubic centimeters to liters: 60cm3/min/1000=0.06L/min60 cm^3/min / 1000 = 0.06 L/min

Therefore, 1cm3/s=0.06L/min1 cm^3/s = 0.06 L/min.

Converting Liters per Minute to Cubic Centimeters per Second

The reverse conversion, from L/minL/min to cm3/scm^3/s, involves a similar process:

cm3/s=(L/min)(1000cm3/L)/(60s/min)cm^3/s = (L/min) * (1000 cm^3/L) / (60 s/min)

Step-by-step instruction for 1 Litres per minute

Let's convert 1L/min1 L/min to cm3/scm^3/s:

  1. Multiply by 1000 to convert liters to cubic centimeters: 1L/min1000=1000cm3/min1 L/min * 1000 = 1000 cm^3/min
  2. Divide by 60 to convert minutes to seconds: 1000cm3/min/60=16.67cm3/s1000 cm^3/min / 60 = 16.67 cm^3/s (approximately)

Therefore, 1L/min16.67cm3/s1 L/min \approx 16.67 cm^3/s.

Real-World Examples

These conversions are commonly used in various fields:

  1. Medical Drip Rates: IV fluid delivery rates are often measured in drops per minute, which can be converted to cm3/scm^3/s or L/minL/min for precise dosage calculations.
  2. Aquarium Water Flow: The flow rate of water pumps in aquariums is crucial for maintaining water quality. These rates are frequently expressed in liters per minute to ensure adequate filtration and oxygenation.
  3. Engine Displacement: Engine displacement can be expressed in Liters. Fuel and oil flow rates might be measured in cm3/scm^3/s to optimize engine performance and efficiency.
  4. HVAC Systems: Airflow in HVAC systems is critical for maintaining comfortable and healthy indoor environments. Flow rates are commonly measured in cubic feet per minute (CFM) or liters per second and these can be converted to other unit.

Historical Note

While there isn't a specific law or person directly associated with this particular conversion, the development of the metric system itself is a landmark achievement. Standardized units like the liter and cubic centimeter have their roots in the French Revolution, where scientists sought to create a universal system of measurement based on natural constants. The metric system, and its subsequent refinements (like the International System of Units or SI), have greatly simplified scientific and engineering calculations by providing a coherent and consistent framework for measurements.

Formula Summary

  • cm3/scm^3/s to L/minL/min: L/min=(cm3/s)(60/1000)L/min = (cm^3/s) * (60 / 1000)
  • L/minL/min to cm3/scm^3/s: cm3/s=(L/min)(1000/60)cm^3/s = (L/min) * (1000 / 60)

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 minute to other unit conversions.

What is Cubic Centimeters per second?

Cubic centimeters per second (cc/s or cm3/s\text{cm}^3/\text{s}) is a unit of volumetric flow rate. It describes the volume of a substance that passes through a given area per unit of time. In this case, it represents the volume in cubic centimeters that flows every second. This unit is often used when dealing with small flow rates, as cubic meters per second would be too large to be practical.

Understanding Cubic Centimeters

A cubic centimeter (cm3cm^3) is a unit of volume equivalent to a milliliter (mL). Imagine a cube with each side measuring one centimeter. The space contained within that cube is one cubic centimeter.

Defining "Per Second"

The "per second" part of the unit indicates the rate at which the cubic centimeters are flowing. So, 1 cc/s means one cubic centimeter of a substance is passing a specific point every second.

Formula for Volumetric Flow Rate

The volumetric flow rate (Q) can be calculated using the following formula:

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

Where:

  • QQ = Volumetric flow rate (in cm3/s\text{cm}^3/\text{s})
  • VV = Volume (in cm3\text{cm}^3)
  • tt = Time (in seconds)

Relationship to Other Units

Cubic centimeters per second can be converted to other units of flow rate. Here are a few common conversions:

  • 1 cm3/s\text{cm}^3/\text{s} = 0.000001 m3/s\text{m}^3/\text{s} (cubic meters per second)
  • 1 cm3/s\text{cm}^3/\text{s} ≈ 0.061 in3/s\text{in}^3/\text{s} (cubic inches per second)
  • 1 cm3/s\text{cm}^3/\text{s} = 1 mL/s\text{mL/s} (milliliters per second)

Applications in the Real World

While there isn't a specific "law" directly associated with cubic centimeters per second, it's a fundamental unit in fluid mechanics and is used extensively in various fields:

  • Medicine: Measuring the flow rate of intravenous (IV) fluids, where precise and relatively small volumes are crucial. For example, administering medication at a rate of 0.5 cc/s.
  • Chemistry: Controlling the flow rate of reactants in microfluidic devices and lab experiments. For example, dispensing a reagent at a flow rate of 2 cc/s into a reaction chamber.
  • Engineering: Testing the flow rate of fuel injectors in engines. Fuel injector flow rates are critical and are measured in terms of volume per time, such as 15 cc/s.
  • 3D Printing: Regulating the extrusion rate of material in some 3D printing processes. The rate at which filament extrudes could be controlled at levels of 1-5 cc/s.
  • HVAC Systems: Measuring air flow rates in small ducts or vents.

Relevant Physical Laws and Concepts

The concept of cubic centimeters per second ties into several important physical laws:

  • Continuity Equation: This equation states that for incompressible fluids, the mass flow rate is constant throughout a closed system. The continuity equation is expressed as:

    A1v1=A2v2A_1v_1 = A_2v_2

    where AA is the cross-sectional area and vv is the flow velocity.

    Khan Academy's explanation of the Continuity Equation further details the relationship between area, velocity, and flow rate.

  • Bernoulli's Principle: This principle relates the pressure, velocity, and height of a fluid in a flowing system. It states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.

    More information on Bernoulli's Principle can be found here.

What is Litres per minute?

Litres per minute (LPM) is a unit of volumetric flow rate, measuring the volume of liquid or gas that passes through a specific point in one minute. It is commonly used in various fields to quantify the rate of fluid transfer.

Understanding Litres per Minute (LPM)

LPM expresses how many litres of a substance flow through a given area in one minute. A litre is a unit of volume defined as 0.001 cubic meters, or 1000 cubic centimetres. Therefore, 1 LPM is equivalent to 1/1000 of a cubic meter per minute.

How is Litres per Minute Formed?

LPM is derived from the base units of volume (litres) and time (minutes). The formula to calculate flow rate in litres per minute is:

Flow Rate (LPM)=Volume (Litres)Time (Minutes)\text{Flow Rate (LPM)} = \frac{\text{Volume (Litres)}}{\text{Time (Minutes)}}

For example, if 50 litres of water flow out of a tap in one minute, the flow rate is 50 LPM.

Common Conversions

Here's a table of conversions between LPM and other common flow rate units:

Unit Conversion to LPM
1 Cubic Meter/Hour ≈ 16.67 LPM
1 Gallon/Minute (GPM) ≈ 3.785 LPM
1 Millilitre/Minute (mL/min) = 0.001 LPM

Real-World Applications and Examples

  • Medical Oxygen Delivery: Oxygen concentrators and ventilators often specify flow rates in LPM. A typical oxygen concentrator might deliver oxygen at a rate of 2-5 LPM.

  • Water Flow in a Household: The flow rate of water from a tap or showerhead is often measured in LPM. For instance, a water-saving showerhead might have a flow rate of 7-10 LPM.

  • Aquarium Filters: The performance of aquarium filters is often rated in LPM, indicating how quickly the filter can process the aquarium water. An aquarium filter might have a flow rate of 500 LPM.

  • HVAC Systems: Airflow in HVAC (Heating, Ventilation, and Air Conditioning) systems is sometimes specified in LPM, especially in smaller systems or components.

  • Industrial Processes: Many industrial processes involving fluids, such as chemical mixing or cooling, use LPM to measure and control flow rates.

Interesting Facts

While there isn't a specific "law" named after LPM, the principles of fluid dynamics and flow rate are governed by laws such as the Hagen-Poiseuille equation, which relates flow rate to pressure, viscosity, and dimensions of the pipe.

The measurement of flow rate has been crucial in the development of various technologies and industries, from water management to chemical engineering. The accurate measurement of flow is essential for efficiency, safety, and control in many processes. For more information on this, read the Fluid dynamics article from sciencelearn.org.nz.

Complete Cubic Centimeters per second conversion table

Enter # of Cubic Centimeters per second
Convert 1 cm3/s to other unitsResult
Cubic Centimeters per second to Cubic Millimeters per second (cm3/s to mm3/s)1000
Cubic Centimeters per second to Cubic Decimeters per second (cm3/s to dm3/s)0.001
Cubic Centimeters per second to Cubic Decimeters per minute (cm3/s to dm3/min)0.06
Cubic Centimeters per second to Cubic Decimeters per hour (cm3/s to dm3/h)3.6
Cubic Centimeters per second to Cubic Decimeters per day (cm3/s to dm3/d)86.4
Cubic Centimeters per second to Cubic Decimeters per year (cm3/s to dm3/a)31557.6
Cubic Centimeters per second to Millilitres per second (cm3/s to ml/s)1
Cubic Centimeters per second to Centilitres per second (cm3/s to cl/s)0.1
Cubic Centimeters per second to Decilitres per second (cm3/s to dl/s)0.01
Cubic Centimeters per second to Litres per second (cm3/s to l/s)0.001
Cubic Centimeters per second to Litres per minute (cm3/s to l/min)0.06
Cubic Centimeters per second to Litres per hour (cm3/s to l/h)3.6
Cubic Centimeters per second to Litres per day (cm3/s to l/d)86.4
Cubic Centimeters per second to Litres per year (cm3/s to l/a)31557.6
Cubic Centimeters per second to Kilolitres per second (cm3/s to kl/s)0.000001
Cubic Centimeters per second to Kilolitres per minute (cm3/s to kl/min)0.00006
Cubic Centimeters per second to Kilolitres per hour (cm3/s to kl/h)0.0036
Cubic Centimeters per second to Cubic meters per second (cm3/s to m3/s)0.000001
Cubic Centimeters per second to Cubic meters per minute (cm3/s to m3/min)0.00006
Cubic Centimeters per second to Cubic meters per hour (cm3/s to m3/h)0.0036
Cubic Centimeters per second to Cubic meters per day (cm3/s to m3/d)0.0864
Cubic Centimeters per second to Cubic meters per year (cm3/s to m3/a)31.5576
Cubic Centimeters per second to Cubic kilometers per second (cm3/s to km3/s)1e-15
Cubic Centimeters per second to Teaspoons per second (cm3/s to tsp/s)0.2028841362
Cubic Centimeters per second to Tablespoons per second (cm3/s to Tbs/s)0.0676280454
Cubic Centimeters per second to Cubic inches per second (cm3/s to in3/s)0.06102402537402
Cubic Centimeters per second to Cubic inches per minute (cm3/s to in3/min)3.6614415224414
Cubic Centimeters per second to Cubic inches per hour (cm3/s to in3/h)219.68649134648
Cubic Centimeters per second to Fluid Ounces per second (cm3/s to fl-oz/s)0.0338140227
Cubic Centimeters per second to Fluid Ounces per minute (cm3/s to fl-oz/min)2.028841362
Cubic Centimeters per second to Fluid Ounces per hour (cm3/s to fl-oz/h)121.73048172
Cubic Centimeters per second to Cups per second (cm3/s to cup/s)0.0042267528375
Cubic Centimeters per second to Pints per second (cm3/s to pnt/s)0.00211337641875
Cubic Centimeters per second to Pints per minute (cm3/s to pnt/min)0.126802585125
Cubic Centimeters per second to Pints per hour (cm3/s to pnt/h)7.6081551075
Cubic Centimeters per second to Quarts per second (cm3/s to qt/s)0.001056688209375
Cubic Centimeters per second to Gallons per second (cm3/s to gal/s)0.0002641720523438
Cubic Centimeters per second to Gallons per minute (cm3/s to gal/min)0.01585032314063
Cubic Centimeters per second to Gallons per hour (cm3/s to gal/h)0.9510193884375
Cubic Centimeters per second to Cubic feet per second (cm3/s to ft3/s)0.00003531468492103
Cubic Centimeters per second to Cubic feet per minute (cm3/s to ft3/min)0.002118881095262
Cubic Centimeters per second to Cubic feet per hour (cm3/s to ft3/h)0.1271328657157
Cubic Centimeters per second to Cubic yards per second (cm3/s to yd3/s)0.000001307949370859
Cubic Centimeters per second to Cubic yards per minute (cm3/s to yd3/min)0.00007847696225152
Cubic Centimeters per second to Cubic yards per hour (cm3/s to yd3/h)0.004708617735091

Volume flow rate conversions