A vertical cylindrical tank of height h and radius R has a narrow crack of width w running vertically from top to bottom. If the tank is initially filled with water and allowed to drain through the crack under the influence of gravity, find the instantaneous depth of the water as a function of time. How long will it take the tank to empty? Hint: First imagine the crack to be a series of adjacent orifices, and integrate to find the total efflux from the crack in the infinites- 21 imal time interval dt.

A vertical cylindrical tank of height h and radius R has a narrow crack of width w running vertically from top to bottom. If the tank is initially filled with water and allowed to drain through the crack under the influence of gravity, find the instantaneous depth of the water as a function of time. How long will it take the tank to empty? Hint: First imagine the crack to be a series of adjacent orifices, and integrate to find the total efflux from the crack in the infinites- 21 imal time interval dt.

Name: A vertical cylindrical tank of height h and radius R has a narrow cra
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Description: A vertical cylindrical tank of height h and radius R has a narrow crack of width w runningvertically from top to bottom. If the tank is initially filled with water and allowed to drainthrough the crack under the influence of gravity, find the instan

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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A vertical cylindrical tank of height h and radius R has a narrow crack of width w running
vertically from top to bottom. If the tank is initially filled with water and allowed to drain
through the crack under the influence of gravity, find the instantaneous depth of the water as a
function of time. How long will it take the tank to empty? Hint: First imagine the crack to be
a series of adjacent orifices, and integrate to find the total efflux from the crack in the infinites-
21
imal time interval dt.

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