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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

If the rectangular tank full of water in Fig. P3.37 has its
right-hand wall lowered by an amount δ , as shown, water
will fl ow out as it would over a weir or dam.
we deduced that the outfl ow Q would be given by
Q = C b g^1/2δ^3/2
where b is the tank width into the paper, g is the acceleration
of gravity, and C is a dimensionless constant. Assume
that the water surface is horizontal, not slightly curved as in
the fi gure. Let the initial excess water level be δ _o . Derive a
formula for the time required to reduce the excess water
level to ( a ) δ_o /10 and ( b ) zero.

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