Results 1 to 4 of 4

Math Help - Hydrostatic Pressure

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    3

    Hydrostatic Pressure

    A cylindrical tank, with base radius 9.4 meter, lies on its side and is partially filled with a liquid whose density is 1260 kilograms per cubic meter. The liquid fills the tank to a maximum depth of 14 meters. Determine the amount of force (in Newtons) exerted on a flat side of the tank.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Oct 2009
    Posts
    3
    Does any one know how to do this? I am having difficulty setting it up.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    3
    So far I have:

    F= int (from -9.4 to 9.4) (14-y) 2(88.36-y^2)^(1/2)

    Is that right?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Sep 2009
    Posts
    46
    Lol...ok whoever gave you this problem didn't like you a lot. Not only pgh changes with height but it doesn't change linearly because as you move further away from the center of your cylinder the submerged surface decreases so you cant just plug the submerged area as if the surface was a rectangle. Probably involves a cos(alpha x H) not sure though I don't have the time to do it right now.

    There's an easier numerical method if you don't like integrals. Split the submerged portion into 3 parts and take an average heigth for each segment and calculate pgh for that height on that surface then when you have the 3 simply add them lol. The more segments you calculate the more precise your result is. If you calculate the integral it counts as infinite segments so the accuracy is 100%.

    good luck.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. hydrostatic pressure
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 9th 2010, 04:07 AM
  2. hydrostatic pressure
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 20th 2009, 12:31 AM
  3. Hydrostatic Pressure
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 14th 2008, 10:30 PM
  4. Hydrostatic Pressure
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 3rd 2008, 09:46 AM
  5. hydrostatic pressure
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 20th 2006, 05:38 AM

Search Tags


/mathhelpforum @mathhelpforum