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Sun 14 Aug, 2005 07:26 pm
An air conditioning duct is 20m long. The cross-section gradually
changes over the length, so one end is a square of side 600mm and
the other end is a circle of diameter 600mm. Over 5m intervals, it
changes shape from a square to a rectangle 400mm to 800mm, then to a
rectangle 500mm by 700mm, then to a rectangle 550mm by 650mm before changing to a circle. The duct must be pressure-tested to 280 kpa. How much water is required to fill the duct to conduct the test?
Work Done:
I found the volumes of the square,
rectangles and the circle but then I don't know what to do with
the 280 kpa. How can I find the amount of water with 280 kpa?
Realise water is not normally compressible (unless you get to fusion levels of pressure, trillions of kpa - think the centre of the Sun - water must be compressed to 1/160 of its volume at sea level to start fusion).
So if water is not compressible - simply add up the volumes of your component sections!