A closed tin of height h contains air at atmospheric pressure. It floats vertically in water as shown below, with a depth k under water. Rust causes a small hole in the base and water leaks in slowly. Show that the tin floats in equilibrium again when the water has risen to fill a height h k/H+k, where H is the height of a water barometer. hHintsUse Archimedes' theorem to find where the water level is inside the tin. Archimedes'theorem states that the force on a body which is submerged is an upthrust equal to theweight of the fluid displaced.а.b.A slow change allows heat flow and is therefore isothermal. Use this to find the pressureinside the tin.c.Is the tin still floating?d.H is defined by po = PgH,where p is the density of water.

Answered: A closed tin of height h contains air…

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 closed tin of height h contains air at atmospheric pressure. It floats vertically in water as shown below, with a depth k under water. Rust causes a small hole in the base and water leaks in slowly. Show that the tin floats in equilibrium again when the water has risen to fill a height h k/H+k, where H is the height of a water barometer.

h
Hints
Use Archimedes' theorem to find where the water level is inside the tin. Archimedes'
theorem states that the force on a body which is submerged is an upthrust equal to the
weight of the fluid displaced.
а.
b.
A slow change allows heat flow and is therefore isothermal. Use this to find the pressure
inside the tin.
c.
Is the tin still floating?
d.
H is defined by po = PgH,where p is the density of water.

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