DeCaria's Derivations Page
This is a page where I've put
some derivations that I think are interesting, but are not included in
the notes for my courses. They are by no
means groundbreaking, and not all are original. They are just
that I have wondered about over the years, figured out, and thought
perhaps others may find them interesting also. The files are in
Approximation for Virtual
Temperature: Shows the rational behind a common
approximation for virtual temperature using degrees Celsius and
dimensional mixing ratio (g/kg).
and Centrifugal Torque: Explores
the torques from apparent forces on an object viewed in a rotating
in the Rain - Will You Get Wetter?: Discusses whether
you will stay drier, or get wetter, by running versus walking to
shelter when it is raining.
Mean Distance Between Cloud Drops:
A derivation from probability theory to show the mean
distance between cloud drops, rain droplets, or other aerosols.
Monty Hall (Game Show) Problem:
A derivation from probability using Bayes' Theorem to show an
Vorticity Equation and
the Conservation of Angular Momentum:
Shows how the barotropic vorticity equation can be derived directly
from the conseration of absolute angular momentum.