Den of the Cyphered Wolf

Friday, June 25, 2010

Shower Math

I'm feeling a bit nostalgic for the days back when I was an engineering major instead of a journalism major so I set a a little math/science practical problem for myself and thought it might be fun to share it.

I was watching the Dilbert pilot one night, and the next morning went to my shower.

Here is the task

A. Create a mathematical model relating the angle of the right knob, angle of the left knob, flow rate of the water, and temperature.

B. Find the angles of each knob it would be necessary to get my shower to be exactly 90 degrees Fahrenheit.

C. Create a mathematical model that relates those things, but also includes volume of water and time.

D. Find out how long it would take the tube to fill up with 227 liters of water.

E. Create a quick c++ program that asks the user to input enough variables that it could find the others.

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