A differential equation describing the height h of a fluid level in a cylindrical tank of the radiusR losing the fluid through a circular hole in the bottom with a radius r is dh R dt -r/2gh where g is free-fall acceleration. How much time will it take for the fluid to be completely drained from the tank, if initially the tank was filled to a height of H.

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Chapter1: Units, Trigonometry. And Vectors
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A differential equation describing the height h of a fluid level in a cylindrical tank of the radiusR
losing the fluid through a circular hole in the bottom with a radius r is
Transcribed Image Text:A differential equation describing the height h of a fluid level in a cylindrical tank of the radiusR losing the fluid through a circular hole in the bottom with a radius r is
dh
R
dt
-r/2gh
where g is free-fall acceleration. How much time will it take for the fluid to be completely drained
from the tank, if initially the tank was filled to a height of H.
Transcribed Image Text:dh R dt -r/2gh where g is free-fall acceleration. How much time will it take for the fluid to be completely drained from the tank, if initially the tank was filled to a height of H.
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