On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah. Initially the hole is closed. Ignoring all friction forces find: a) The pressure of the water at the bottom hole if it is closed and no water exits. b) Write the continuity and Bernoulli equation. c) Solve for the speed of the water as it leaves the hole.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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2.
H
On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah.
Initially the hole is closed. Ignoring all friction forces find:
a) The pressure of the water at the bottom hole if it is closed and no water exits.
b) Write the continuity and Bernoulli equation.
c) Solve for the speed of the water as it leaves the hole.
d) Assuming the velocity at the top is given by the function
dy
Vy = -C/y,(Vy = ) with y=0 at the height of the small hole and Ca known Constant.
dt
Solve the differential equation for the time it takes to empty the container as a function of C,h,H
Transcribed Image Text:2. H On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah. Initially the hole is closed. Ignoring all friction forces find: a) The pressure of the water at the bottom hole if it is closed and no water exits. b) Write the continuity and Bernoulli equation. c) Solve for the speed of the water as it leaves the hole. d) Assuming the velocity at the top is given by the function dy Vy = -C/y,(Vy = ) with y=0 at the height of the small hole and Ca known Constant. dt Solve the differential equation for the time it takes to empty the container as a function of C,h,H
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