k—Continued When friction and contraction of the water at

QUESTION:

Leaking Cylindrical Tank—Continued When friction and contraction of the water at the hole are taken into account, the model in Problem 11 becomes

\(\frac{d h}{d t}=-c \frac{A_{h}}{A_{w}} \sqrt{2 g h}\)

where 0 > c > 1. How long will it take the tank in Problem 11(b) to empty if c = 0.6? See Problem 13 in Exercises 1.3.

Text Transcription:

frac{d h}{d t}=-c \frac{A_{h}}{A_{w}} \sqrt{2 g h}