Conversion factors derivation.

In summary, conversion factors are important ratios used to convert between different units of measurement. They are derived using mathematical equations based on the fundamental properties of the units and can vary between different applications. While considered constant, they may change over time due to scientific advancements or changes in measurement standards. To calculate your own conversion factors, you will need to identify the relationship between the two units of measurement and use dimensional analysis or direct measurement.
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akerkarprashant
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TL;DR Summary
Conversion factors derivation.
Queries regarding MKS to CGS system for the following formulas.

Force - Newton (MKS), Dynes (CGS)
Work - Joule (MKS), Ergs (CGS)

1N = 10^5 dynes.
1J = 10^7 ergs.

How the above unit conversion formulas are derived ?
 

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  • #2
Look at the dimensions of force and energy.
force = M L T−2
energy = M L2 T−2

Convert CGS cm to MKSA metres.
Convert CGS gram to MKSA kg.
 
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1. What is a conversion factor?

A conversion factor is a mathematical ratio that is used to convert one unit of measurement to another unit of measurement. It is used to express the same quantity in different units.

2. How are conversion factors derived?

Conversion factors are derived using mathematical equations and dimensional analysis. The starting unit and the desired unit are set up in a fraction, with the starting unit in the denominator and the desired unit in the numerator. The numerical value of the conversion factor is determined by the relationship between the two units.

3. Why are conversion factors important in science?

Conversion factors are important in science because they allow for accurate and consistent measurements. They also help scientists communicate and compare data across different units of measurement.

4. Can conversion factors be used for all types of units?

Yes, conversion factors can be used for all types of units as long as there is a known relationship between the two units. This includes units of length, mass, volume, time, temperature, and more.

5. Are there any common conversion factors that are used in science?

Yes, there are many common conversion factors used in science, such as the conversion between Celsius and Fahrenheit for temperature, or the conversion between meters and kilometers for length. These conversion factors are often memorized or readily available in conversion tables.

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