Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R = 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or
Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p (shown below). R = 1 H = 4 (a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer will be in terms of p.) (b) Now suppose your tank is inverted. H = 4 R = 1 Calculate the work required to pump all of the liquid to the top of the tank (now the vertex of the cone) in this case. (c) Use your answers to (a) and (b) to determine if the amount of work required to pump the water to the top of the tank depends on the orientation of the tank (i.e. whether or
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose you have a conical tank of height 4m and radius 1m filled with a liquid of density p
(shown below).
R= 1
H = 4
(a) Calculate the work required to pump all of the liquid to the top of the tank. (Your answer
will be in terms of p.)
(b) Now suppose your tank is inverted.
H = 4
R = 1
Calculate the work required to pump all of the liquid to the top of the tank (now the
vertex of the cone) in this case.
(c) Use your answers to (a) and (b) to determine if the amount of work required to pump
the water to the top of the tank depends on the orientation of the tank (i.e. whether or
not the tank is inverted). If it doesn't, briefly explain why it makes sense that the work
is the same. If it does, briefly explain why it makes sense that work is different.
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