Alex
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 some that I have wondered about over the years, figured out, and thought perhaps others may find them interesting also. The files are in PDF format.

Approximation for Virtual Temperature: Shows the rational behind a common approximation for virtual temperature using degrees Celsius and dimensional mixing ratio (g/kg).

Coriolis and Centrifugal Torque: Explores the torques from apparent forces on an object viewed in a rotating reference frame.

Running 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 unintuitive result.

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.

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 some that I have wondered about over the years, figured out, and thought perhaps others may find them interesting also. The files are in PDF format.

Approximation for Virtual Temperature: Shows the rational behind a common approximation for virtual temperature using degrees Celsius and dimensional mixing ratio (g/kg).

Coriolis and Centrifugal Torque: Explores the torques from apparent forces on an object viewed in a rotating reference frame.

Running 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 unintuitive result.

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.