While on a Sunday outing to play dise golf you notice that a 1.0 cm diameter hol
ID: 1610936 • Letter: W
Question
While on a Sunday outing to play dise golf you notice that a 1.0 cm diameter hole has somehow been created in the Tuttle Creek dam. The hole is 17 m below the water surface on the other side of the dam. Quickly springing into action, you cover the hole with your hand to stop the leak. How much force to you need to apply to this? Upon reflection you realize there is no great urgency to your action by calculating the water speed that would result if you removed your hand. Show that this speed is upsilon = 18.2 m/s. Determine how much water would leak out of Tuttle Creek Lake through this hole in one day.Explanation / Answer
(a) the pressure at bottom of dam = gh
F = PA
A= d2/4 = 7.8x10^-5 m2
P= 1000x9.8x17
F= 12.99 N
b) v =(2gh)^1/2 = 18.25 m/s [As per Torcilis law]
c volume flow rate = area x velocity
= 7.8x10^-5x 18.2 = 141.96x10^-5 m3/sec
=24x60x60 seconds in a day
=86400 m3
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.