A cylindrical container has cross sectional area of 0.20 m and is open at the top. At the bottom, it has a small hole (A) kept closed by a cork. There is an air balloon tied to the bottom surface of the container. Volume of balloon is 2.2 litre. Now water is filled in the container and the balloon gets fully submerged. Volume of the balloon reduces to 2.0 litre. The cork is taken out to open the hole and at the same moment the whole container is dropped from a large height so as to fall under gravity. Assume that the container remains vertical. Find the change in level of water inside the falling container 2 second after it starts falling.
A cylindrical container has cross sectional area of 0.20 m and is open at the top. At the bottom, it has a small hole (A) kept closed by a cork. There is an air balloon tied to the bottom surface of the container. Volume of balloon is 2.2 litre. Now water is filled in the container and the balloon gets fully submerged. Volume of the balloon reduces to 2.0 litre. The cork is taken out to open the hole and at the same moment the whole container is dropped from a large height so as to fall under gravity. Assume that the container remains vertical. Find the change in level of water inside the falling container 2 second after it starts falling.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A cylindrical container has cross sectional area of
0.20 m² and is open at the top. At the bottom, it
has a small hole (A) kept closed by a cork. There
is an air balloon tied to the bottom surface of the
container. Volume of balloon is 2.2 litre. Now
water is filled in the container and the balloon
gets fully submerged. Volume of the balloon
reduces to 2.0 litre. The cork is taken out to
open the hole and at the same moment the whole
container is dropped from a large height so as
to fall under gravity. Assume that the container
remains vertical. Find the change in level of water
inside the falling container 2 second after it starts
falling.
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