# Homework Help: Water Pipe Flow

1. May 6, 2012

### Chapman2233

1. The problem statement, all variables and given/known data

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

2. Relevant equations

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

3. 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 im 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!

2. May 6, 2012

### LCKurtz

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.

3. May 6, 2012

### Chapman2233

0.5pie x 0.8
=0.16 cubic metres/s
x 120
576l/hour

4. May 6, 2012

### Joffan

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?