Calculate Litres of Water Through Pipe in 1 Hour

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Homework Help Overview

The discussion revolves around calculating the volume of water flowing through a pipe given a flow velocity of 0.8 m/s. Participants are considering the dimensions of the pipe and the relevance of the trench length in their calculations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the relationship between flow velocity, pipe dimensions, and volume. There is a focus on whether to include the trench length in the calculations and how to convert cubic meters to liters.

Discussion Status

Some participants have provided calculations and insights into the geometry of the pipe, suggesting that the cross-sectional area is crucial for determining the volume of water flowing through the pipe. There is an ongoing exploration of how to approach the conversion from cubic meters to liters.

Contextual Notes

Participants are questioning the relevance of the trench length and are considering the implications of the pipe's circular cross-section on their calculations. There is a mention of the need to account for π in the volume calculations.

Chapman2233
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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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