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

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Homework Help Overview

The discussion revolves around determining the cross-sectional area of a tube required to fill a compartment with a specified volume of water within a given time frame. The problem involves concepts from fluid dynamics, particularly relating to flow rates and the properties of fluids.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between flow rate, cross-sectional area, and velocity of water. There is a focus on the need for additional equations that account for factors such as tube length and pressure difference. Questions arise about whether the flow is turbulent or laminar, and how these conditions affect the calculations.

Discussion Status

Participants are exploring various equations related to flow rates and are considering the implications of different flow conditions. Some guidance has been offered regarding the need to research Bernoulli's equation and other resources, indicating a productive direction in the discussion.

Contextual Notes

The original poster has provided specific values for volume and time, but there may be missing information regarding the pressure difference and the characteristics of the flow, which are crucial for a complete analysis.

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
 
Last edited by a moderator:
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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
 

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