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

In summary, the question asked for the cross sectional area of a tube given a volume and time for water to fill it up, as well as the density of water. The relevant equations for volume flow rate were mentioned, but it was noted that other factors such as pipe length and pressure difference may also impact the flow rate. Resources were suggested for further research, including Bernoulli's equation.
  • #1
aiklone1314
25
0

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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  • #2
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.
 
  • #3
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
 
  • #5

1. What is the cross sectional area for the tube to fill up the compartment?

The cross sectional area of a tube is the area of the circular section of the tube when it is cut perpendicular to its length. It is typically measured in square units, such as square inches or square meters.

2. How is the cross sectional area of a tube calculated?

The cross sectional area of a tube can be calculated using the formula A = πr^2, where A is the cross sectional area and r is the radius of the tube. This formula assumes that the tube is circular in shape.

3. Why is the cross sectional area important in filling up a compartment?

The cross sectional area of a tube is important in filling up a compartment because it determines the amount of fluid or substance that can pass through the tube. A larger cross sectional area means a larger volume can be transported through the tube at a given time.

4. How does the cross sectional area affect the speed of filling up a compartment?

The cross sectional area of a tube is directly proportional to the speed of filling up a compartment. This means that a larger cross sectional area will result in a faster filling rate, while a smaller cross sectional area will result in a slower filling rate.

5. Can the cross sectional area of a tube be changed?

Yes, the cross sectional area of a tube can be changed by altering the dimensions of the tube. For example, increasing the diameter of the tube will result in a larger cross sectional area, while decreasing the diameter will result in a smaller cross sectional area.

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