MLtT Dimensions: Chart/List for Quantities & Units

[JSBeckton]

Sorry if its here somewhere but I couldn't find it, where can I find a chart/list for quantities listing their dimensions using the MLtT and FLtT systems and also give the typical SI and English units?

Thanks

 

[vaishakh]

Its given in all atandard Physics books of undergrad level. I don't know if its somewhere in the site, but I want you to have a close look on you ruler, metre scale, books, etc. Another thing to search for this is your diary. Most of them (printed in India atleast) contain such conversions.

 

[quicknote]

for your question! I understand that you are looking for a chart or list that outlines the dimensions and corresponding units for quantities using the MLtT and FLtT systems. Unfortunately, I am not able to provide a specific chart or list as it would depend on the specific quantities and their dimensions that you are interested in. However, I can explain the general concepts behind these systems and how they can be used to determine the dimensions and units for quantities.

The MLtT (Mass, Length, time, Temperature) system is a dimensional analysis system that is commonly used in physics and engineering. It is based on the four fundamental physical quantities of mass, length, time, and temperature. These quantities are considered to be independent and all other physical quantities can be derived from them.

In the MLtT system, each physical quantity is assigned a unique dimension, which is represented by a symbol in square brackets. For example, the dimension for mass is [M], for length is [L], for time is [T], and for temperature is [Θ]. These dimensions can be combined using basic mathematical operations (addition, subtraction, multiplication, and division) to determine the dimensions of other physical quantities.

For example, the dimension for velocity can be determined by dividing the dimension of length [L] by the dimension of time [T], which gives the dimension [L/T]. Similarly, the dimension for acceleration can be determined by dividing the dimension of velocity [L/T] by the dimension of time [T], which gives the dimension [L/T^2].

Once the dimensions are determined, the corresponding units can be chosen based on the SI (International System of Units) or English system. For example, the unit for length in the SI system is meters (m) and in the English system is feet (ft).

The FLtT (Force, Length, time, Temperature) system is a similar dimensional analysis system that is commonly used in chemistry and biology. It is based on the fundamental physical quantities of force, length, time, and temperature. The dimensions and units for these quantities are determined in the same way as in the MLtT system.

In conclusion, the dimensions and units for quantities can be determined using the MLtT and FLtT systems by assigning unique dimensions to each fundamental quantity and using basic mathematical operations to determine the dimensions of other quantities. The units can then be chosen based on the SI or English system. I hope this explanation helps you in your search