Calculate Litres of Water Through Pipe in 1 Hour

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SUMMARY

The calculation of water flow through a pipe with a diameter of 0.5m and a velocity of 0.8m/s results in a flow rate of 576 litres per hour. The cross-sectional area of the pipe is calculated using the formula for the area of a circle, A = πr², where r is the radius (0.25m). The volume flow rate is determined by multiplying the cross-sectional area by the velocity, yielding 0.16 cubic meters per second, which converts to 576 litres per hour. The trench length is irrelevant to the flow rate calculation.

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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 relevant)

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 relevant)

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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