5. (Problem 4.41 on main book) A conical flask contains water to height H = 36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d = 7.35 mm at the apex of the cone. The flow speed at the exit is approximately V = /2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow rate, Q = 3.75 x 10-7 m³/hr. Find the volume flow rate from the bottom of the flask. Evaluate the direction and rate of change of water surface level in the flask at this instant.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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5. (Problem 4.41 on main book) A conical flask contains water to height H = 36.8 mm, where the flask
diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d = 7.35 mm at the
apex of the cone. The flow speed at the exit is approximately V = /2gy, where y is the height of the liquid
free surface above the hole. A stream of water flows into the top of the flask at constant volume flow rate,
Q = 3.75 x 10-7 m³/hr. Find the volume flow rate from the bottom of the flask. Evaluate the direction and
rate of change of water surface level in the flask at this instant.
Transcribed Image Text:5. (Problem 4.41 on main book) A conical flask contains water to height H = 36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d = 7.35 mm at the apex of the cone. The flow speed at the exit is approximately V = /2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow rate, Q = 3.75 x 10-7 m³/hr. Find the volume flow rate from the bottom of the flask. Evaluate the direction and rate of change of water surface level in the flask at this instant.
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