librelist archives

« back to archive

Work integral

Work integral

From:
Sam Pierce
Date:
2014-05-03 @ 22:57
Hey Douglas

I'm practicing physical applications of work and force. I understand how to
calculate how much work it takes to pump water out of a tank filled to the
top, but how would the work integral change if the tank was taller, but the
water stayed at the previous height?

Would it effect the depth function, or the limits of integration?

Thanks,
Sam

Re: [mat127weathers] Work integral

From:
Douglas Weathers
Date:
2014-05-03 @ 23:03
I'm interpreting your question to mean that (1) there is the same amount of
water in the tank, but (2) the water has further to go.

In that case, the depth function changes. Assuming there are h linear units
of water in the tank, you would still integrate from 0 to h; but more work
would have to be done on each "slice" of water, and that comes out in the
depth function.

This is a good question. Let me know if you have more.


On Sat, May 3, 2014 at 6:57 PM, Sam Pierce <spiercecbhs@gmail.com> wrote:

> Hey Douglas
>
> I'm practicing physical applications of work and force. I understand how
> to calculate how much work it takes to pump water out of a tank filled to
> the top, but how would the work integral change if the tank was taller, but
> the water stayed at the previous height?
>
> Would it effect the depth function, or the limits of integration?
>
> Thanks,
> Sam
>