Why is T Used for Kinetic Energy?

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The use of "T" for kinetic energy in some texts, as opposed to "K," may stem from historical conventions and the need to differentiate between related quantities. The Lagrangian formulation commonly uses "L = T - V," where "V" represents potential energy, possibly influenced by its association with voltage in electromagnetism. Some older literature, like Pauling and Wilson's work, employs "T" for kinetic energy while reserving "K" for other concepts, such as rotational quantum numbers. Additionally, variations like "KE" are sometimes used to clarify kinetic energy further. The inconsistency in notation reflects the evolution of scientific terminology rather than a standardized approach.
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For Kinetic energy, some books use K, and some T. Example:

example: http://www.damtp.cam.ac.uk/user/tong/dynamics/clas.pdf

in this text the Lagrangian is written: L = T - V

V is used for potential energy and my guess why for that is because it is also used for potential in electromagnetism (voltage), but I can't imagine why T would be used instead of K.

Just curious if somebody knows why?
 
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I've also seen U used for potential energy, and it's not uncommon for adjacent letters to be used for related quantities. That doesn't really answer your question though, but there are other things like charge (q) and current (i) that aren't really intuitive either.
 
Some of the older books I have looked at (such as Introduction to Quantum Mechanics by Pauling, Wilson) have used T for the kinetic energy and K for the rotational quantum number. In others I have seen J used for the rotational quantum number and that can free up K for the kinetic energy...I have no idea if this is the actual reason for the change though (I have also seen some books use KE for the kinetic energy to avoid confusion or perhaps to add to it).
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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