How much is the cross sectional area for the tube to fill up the compartment?

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To determine the cross-sectional area (A) for a tube to fill a compartment with a volume of 0.0001 m³ in 60 seconds, the volume flow rate equation, which relates flow rate to cross-sectional area and water velocity, is essential. The volume flow rate can be calculated as the change in volume over time. However, additional factors such as tube length and pressure difference also influence flow rate and should be considered, especially regarding whether the flow is turbulent or laminar. Resources like Bernoulli's equation and various online calculators can provide further insights into these relationships. Understanding these principles will help accurately calculate the required cross-sectional area for the tube.
aiklone1314
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Homework Statement


abstract question, but we can assume the
volume,V to be filled is 0.0001m3 and
time for it to filled up water is 60seconds,
water density is 1000kg/m3,
so how much should be the cross sectional area,A for the tube?

Homework Equations


Volume flow rate=delta Volume/delta time
Volume flow rate= cross sectional area*velocity of water

Relavant Picture:
When 0.0001m3 of water is filled up in the compartment, the compartment of the verge will move downward as shown in the rightside of the picture.
http://img339.imageshack.us/img339/8789/21885237.jpg
 
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You need an equation for how flow rate depends on length of tube, cross-sectional area of tube, pressure difference along the tube and properties of the fluid. See what you can find online.
 
haruspex said:
You need an equation for how flow rate depends on length of tube, cross-sectional area of tube, pressure difference along the tube and properties of the fluid. See what you can find online.

So is this equation is needed to be used?

Volume flow rate= cross sectional area*velocity of water
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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