. To measure the water depth in a large open tank with opaque walls, an open vertical glass tube is attached to the side of the tank. The height of the water column in the tube is then used as a measure of the depth of water in the tank. (a) For a true water depth in the tank of 3ft, make use of the following equation (with 0 = 0-degree) to determine the percent error due to capillarity as the diameter of the glass tube is changed. Assume a water temperature of 80°F. Show your result on a graph of percent error versus tube diameter, D, in the range 0.1 in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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To measure the water depth in a large open tank with opaque walls, an open vertical glass
tube is attached to the side of the tank. The height of the water column in the tube is then
used as a measure of the depth of water in the tank.
(a) For a true water depth in the tank of 3ft, make use of the following equation (with 0 =
0-degree) to determine the percent error due to capillarity as the diameter of the glass tube
is changed. Assume a water temperature of 80°F. Show your result on a graph of percent
error versus tube diameter, D, in the range 0.1 in. <D< 1.0 in.
(b) If you want the error to be less than 1%, what
n <D < 1.0 in.st tube diameter allowed?
h =
20 cos 0
YR
I
Transcribed Image Text:To measure the water depth in a large open tank with opaque walls, an open vertical glass tube is attached to the side of the tank. The height of the water column in the tube is then used as a measure of the depth of water in the tank. (a) For a true water depth in the tank of 3ft, make use of the following equation (with 0 = 0-degree) to determine the percent error due to capillarity as the diameter of the glass tube is changed. Assume a water temperature of 80°F. Show your result on a graph of percent error versus tube diameter, D, in the range 0.1 in. <D< 1.0 in. (b) If you want the error to be less than 1%, what n <D < 1.0 in.st tube diameter allowed? h = 20 cos 0 YR I
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