Calculate Litres of Water Through Pipe in 1 Hour

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To calculate the volume of water flowing through a pipe in one hour at a velocity of 0.8 m/s, the diameter of the pipe is crucial for determining the cross-sectional area. The area can be calculated using the formula for the area of a circle, which involves π and the radius derived from the diameter of 0.5 m. The flow rate in cubic meters per second can be found by multiplying the cross-sectional area by the velocity, leading to a total volume of 576 liters per hour. The trench length is not relevant to the calculation of flow volume. Understanding the relationship between cubic meters and liters is essential, as 1 cubic meter equals 1000 liters.
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Homework Statement



If water flows through a pipe at 0.8m/s , how many litres will flow through the pipe in 1 hour?

I think I may be greatly overthinking this question, I keep thinking I need to take into the account of the trench length which is 500m, and the pipe size which is 0.5m diameter.

Should I just m^2 * m/s = m*m*m / s = m³/s

Homework Equations



m^2 * m/s = m*m*m / s = m³/s
Pipe diameter: 0.5m
Trench length 500m (if relevent)

The Attempt at a Solution



I am just assuming the answer is:

0.8 x 60 = 48

48 x 60 = 2880

Therefore the answer is 2880m in an hour.
But I am not sure how to convert this to litres.


Should I use the velocity 0.8m/s and use dimensions?

Sorry, such an easy question that has confused me!
 
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Chapman2233 said:

Homework Statement



If water flows through a pipe at 0.8m/s , how many litres will flow through the pipe in 1 hour?

I think I may be greatly overthinking this question, I keep thinking I need to take into the account of the trench length which is 500m, and the pipe size which is 0.5m diameter.

Should I just m^2 * m/s = m*m*m / s = m³/s

Homework Equations



m^2 * m/s = m*m*m / s = m³/s
Pipe diameter: 0.5m
Trench length 500m (if relevent)

The Attempt at a Solution



I am just assuming the answer is:

0.8 x 60 = 48

48 x 60 = 2880

Therefore the answer is 2880m in an hour.
But I am not sure how to convert this to litres.Should I use the velocity 0.8m/s and use dimensions?

Sorry, such an easy question that has confused me!

The length of the pipe has nothing to do with it. Given that the pipe is circular, wouldn't you expect ##\pi## to appear in the answer? Think of a circular slab of water that exits the pipe in 1 second. What would its volume be? That should get you started.
 
0.5pie x 0.8
=0.16 cubic metres/s
x 120
576l/hour
 
FYI, there are 1000 litres in a cubic metre.

What is the area of the pipe cross-section?
Using that, what length of pipe holds one litre?
 
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