Macroscopic Mass and Linear Momentum Balances

1.  In the days before readily available sources of clean drinking water could be taken for granted, one would often collect rain.  Let's say that you live in a cabin of dimension 15 m by 10 m, and that you add gutters to direct rainwater from the roof to four downspouts, one at each corner of the structure.  These downspouts discharge into cylindrical barrels of diameter 80 cm.  After a long period of drought, when you go to bed these barrels are empty, but during the night a weak storm system comes through causing 0.2 inches of rain to fall.

What is the depth of water that you will find in the barrel in the morning?

If a typical serving of drinking water is 1 liter, how many servings would the collected rain water provide?
 

2.  Solve problem 5.13 of the Munson text, page 279

3.  Solve problem 5.31 of the Munson text, page 281

4.  Solve problem 5.35 of the Munson text, page 282

5.  Solve problem 5.50 of the Munson text, page 284.  As the name "deflector" suggests, the conical section merely diverts the direction of the velocity, but you may assume that the magnitude of the air velocity does not change (in the absence of significant viscous effects).  We will soon be able to demonstrate that this is the case using the Bernoulli equation.