Cubic Centimeters per second (cm3/s) to Cubic meters per minute (m3/min) conversion

Cubic Centimeters per second to Cubic meters per minute conversion table

Cubic Centimeters per second (cm3/s)Cubic meters per minute (m3/min)
00
10.00006
20.00012
30.00018
40.00024
50.0003
60.00036
70.00042
80.00048
90.00054
100.0006
200.0012
300.0018
400.0024
500.003
600.0036
700.0042
800.0048
900.0054
1000.006
10000.06

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

Here's a breakdown of how to convert between cubic centimeters per second (cm3/scm^3/s) and cubic meters per minute (m3/minm^3/min).

Understanding the Conversion

Converting volume flow rates involves understanding the relationship between the units of volume (cubic centimeters and cubic meters) and the units of time (seconds and minutes). This conversion doesn't depend on base 10 or base 2.

Step-by-Step Conversion: cm3/scm^3/s to m3/minm^3/min

  1. Conversion Factors: You need to know the following conversion factors:

    • 1 meter (m) = 100 centimeters (cm)
    • 1 cubic meter (m3m^3) = (100cm)3(100 cm)^3 = 1,000,000cm31,000,000 cm^3
    • 1 minute (min) = 60 seconds (s)
  2. Setting up the Conversion: To convert from cm3/scm^3/s to m3/minm^3/min, you'll multiply by conversion factors that cancel out the units you want to get rid of and leave you with the units you want.

  3. The Conversion Equation:

    1cm3s×1m31,000,000cm3×60s1min=601,000,000m3min1 \frac{cm^3}{s} \times \frac{1 m^3}{1,000,000 cm^3} \times \frac{60 s}{1 min} = \frac{60}{1,000,000} \frac{m^3}{min}

  4. Simplifying the Result:

    601,000,000=0.00006\frac{60}{1,000,000} = 0.00006

    Therefore:

    1cm3s=0.00006m3min=6×105m3min1 \frac{cm^3}{s} = 0.00006 \frac{m^3}{min} = 6 \times 10^{-5} \frac{m^3}{min}

Step-by-Step Conversion: m3/minm^3/min to cm3/scm^3/s

  1. Use the same conversion factors:

    • 1 meter (m) = 100 centimeters (cm)
    • 1 cubic meter (m3m^3) = (100cm)3(100 cm)^3 = 1,000,000cm31,000,000 cm^3
    • 1 minute (min) = 60 seconds (s)
  2. Setting up the Conversion:

  3. The Conversion Equation:

    1m3min×1,000,000cm31m3×1min60s=1,000,00060cm3s1 \frac{m^3}{min} \times \frac{1,000,000 cm^3}{1 m^3} \times \frac{1 min}{60 s} = \frac{1,000,000}{60} \frac{cm^3}{s}

  4. Simplifying the Result:

    1,000,00060=16666.666...16666.67\frac{1,000,000}{60} = 16666.666... \approx 16666.67

    Therefore:

    1m3min16666.67cm3s1 \frac{m^3}{min} \approx 16666.67 \frac{cm^3}{s}

Real-World Examples

Here are some examples of where these conversions are commonly used:

  • Fluid Mechanics: Engineers use these conversions when calculating flow rates in pipes, channels, and other fluid systems. For instance, determining the flow rate of water in a plumbing system or the flow rate of air in a ventilation system.
  • HVAC Systems: HVAC (Heating, Ventilation, and Air Conditioning) engineers often work with air flow rates. Converting between these units helps in designing and optimizing systems for efficient heating and cooling.
  • Medical Equipment: Medical devices such as ventilators and infusion pumps need precise flow rate control. Conversions between cm3/scm^3/s and m3/minm^3/min might be necessary during design and calibration.
  • Automotive Engineering: In engine design, understanding the air and fuel flow rates is crucial. These conversions help in optimizing engine performance and efficiency.

Historical Context/Interesting Facts

While there isn't a specific law or person directly associated with this particular unit conversion, the understanding and standardization of units are fundamental to the development of science and engineering. The metric system, which forms the basis of these units, was a product of the French Revolution, intended to be a rational and universally applicable system of measurement. Its adoption has greatly simplified calculations and facilitated communication in scientific and technical fields.

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 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 cubic meters per minute?

Cubic meters per minute (m3/minm^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, m3m^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 (QQ) is defined as the volume (VV) of a fluid passing through a cross-sectional area per unit of time (tt).

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

Where:

  • QQ is the volume flow rate (measured in m3/minm^3/min in this context).
  • VV is the volume of fluid (measured in m3m^3).
  • tt is the time (measured in minutes).

Common Applications and Examples

  • HVAC Systems: Measuring the airflow rate in ventilation systems. For example, a building's ventilation system might require an airflow rate of 50 m3/minm^3/min to ensure adequate air exchange.

  • Industrial Processes: Assessing the pumping rate of liquids in manufacturing plants. Example, a pump might be rated to transfer water at a rate of 10 m3/minm^3/min.

  • Water Treatment: Determining the flow rate of water through filtration systems. Example, a water treatment plant may process water at a rate of 25 m3/minm^3/min.

  • Gas Flow in Pipelines: Measuring the flow rate of natural gas through a pipeline. For example, a natural gas pipeline might transport gas at a rate of 1000 m3/minm^3/min.

Connection to Hydraulics and Fluid Dynamics

The concept of volume flow rate is essential in hydraulics and fluid dynamics. Understanding the flow rate is crucial for designing and optimizing systems that involve fluid transport, such as pipelines, pumps, and hydraulic machinery.

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