(a) Show, using Bernoulli's theorem, that if there is a hole in the wall of a vessel and if the surface of the liquid inside the vessel is at a height h, above the hole, the velocity of the liquid flowing through the hole is v, = v2gh, (b) Consider a cylindrical vessel having a diameter of 0.1m and a height of 0.2m. A hole 1 cm in cross-section is opened at the base. Water is flowing into the vessel at a rate of 1.4 x 10 m' s . (i) Determine how high the water level will rise in the vessel.
(a) Show, using Bernoulli's theorem, that if there is a hole in the wall of a vessel and if the surface of the liquid inside the vessel is at a height h, above the hole, the velocity of the liquid flowing through the hole is v, = v2gh, (b) Consider a cylindrical vessel having a diameter of 0.1m and a height of 0.2m. A hole 1 cm in cross-section is opened at the base. Water is flowing into the vessel at a rate of 1.4 x 10 m' s . (i) Determine how high the water level will rise in the vessel.
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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Transcribed Image Text:(a) Show, using Bernoulli's theorem, that if there is a hole in the wall of a
vessel and if the surface of the liquid inside the vessel is at a height h, above the
hole, the velocity of the liquid flowing through the hole is v, = v2gh,
(b) Consider a cylindrical vessel having a diameter of 0.1m and a height of
0.2m. A hole 1 cm in cross-section is opened at the base. Water is flowing
into the vessel at a rate of 1.4 x 10 m's ".
(i) Determine how high the water level will rise in the vessel.
(ii) After reaching that height the flow of water in the vessel is stopped.
Determine the time required for the vessel to empty.
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