Results 1 to 3 of 3

Math Help - Hydrostatic force with calculus

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    27

    Hydrostatic force with calculus



    That is my problem. I attempt to solve it by setting up an x-y axis with the origin at the center of the semicircle.

    I then set up the following:

    Hydrostatic Force =
    INTEGRAL of: (width of a given strip)(height of a given strip)(density of water)(force gravity)(distance under water a given strip is)

    Which with numbers looks like this:
    INTEGRAL of: (sqrt(4-y^2))(dy)(1000)(9.8)(10-y)
    I used trig substitution for the sqrt(4-y^2) and it simplifies to cos/cos, and go onto solve the integral with the bounds of 0-2. What am i doing wrong?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    Your set up looks OK. It is probably an integration mistake.

    If you got 352800, then that is incorrect.

    A word of advice: This is obviously a take home test, quiz, or something like that. In that event, folks will probably shy away from assisting much.
    Just a thought...perhaps not.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2008
    Posts
    27
    Its online homework, ill recheck my numbers. thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. hydrostatic force
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 24th 2009, 12:32 PM
  2. hydrostatic force
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 9th 2008, 08:24 PM
  3. Hydrostatic force
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 9th 2008, 05:29 PM
  4. Hydrostatic force with a gate?
    Posted in the Calculus Forum
    Replies: 10
    Last Post: June 24th 2008, 04:33 PM
  5. Hydrostatic Force
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 20th 2008, 02:49 PM

Search Tags


/mathhelpforum @mathhelpforum