BP-11 A tank of water has a spout located 13.5 cm below the water line. The tank is sealed and the pressure of the air above the water in the tank is kept at 4.65 atm. The diameter of the spout is 0.250 cm, which is very small compared to the diameter of the tank. Assume that the pressure of the air outside of the tank is exactly 1.00 atm. (a) If the spout is opened, at what speed (in units of m/s) does the water come out? Hint: you'll need to use both Bernoulli's equation and the equation of continuity. (b) What is the volume flow rate of the water coming out of the tank, in units of cm3/s? (c) At this rate, how long would it take to fill up a water bottle with a volume of 1.00 liter?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 20P: A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The...
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BP-11 A tank of water has a spout located 13.5 cm below the water line.
The tank is sealed and the pressure of the air above the water in the tank
is kept at 4.65 atm. The diameter of the spout is 0.250 cm, which is very
small compared to the diameter of the tank. Assume that the
the air outside of the tank is exactly 1.00 atm.
pressure
of
(a) If the spout is opened, at what speed (in units of m/s) does the
water come out? Hint: you'l11 need to use both Bernoulli's
equation and the equation of continuity.
(b) What is the volume flow rate of the water coming out of the
tank, in units of cm/s?
(c) At this rate, how long would it take to fill up a water bottle
13.5 cm
with a volume of 1.00 liter?
a
99+
hp
Transcribed Image Text:BP-11 A tank of water has a spout located 13.5 cm below the water line. The tank is sealed and the pressure of the air above the water in the tank is kept at 4.65 atm. The diameter of the spout is 0.250 cm, which is very small compared to the diameter of the tank. Assume that the the air outside of the tank is exactly 1.00 atm. pressure of (a) If the spout is opened, at what speed (in units of m/s) does the water come out? Hint: you'l11 need to use both Bernoulli's equation and the equation of continuity. (b) What is the volume flow rate of the water coming out of the tank, in units of cm/s? (c) At this rate, how long would it take to fill up a water bottle 13.5 cm with a volume of 1.00 liter? a 99+ hp
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