1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Pressure on the Bottom of a tank

  1. May 6, 2013 #1
    1. The problem statement, all variables and given/known data

    A lobster tank in a restaurant is 8 ft long by 7 ft wide by 2 ft deep. Find the water force on the bottom and on each of the four sides. The density of water is 62.4 lb/ft3.


    2. Relevant equations

    Pressure = density * gravity * height
    Force = Pressure * Area

    3. The attempt at a solution

    Force on the bottom = density * gravity * height * area
    = 62.4g(2)(56)

    It is asking for the Force in Lb
    In my book we used integrals for this type of problem but I don't see the point..

    I'm trying to put the answer in webassign.

    For the sides would it be the same equation without gravity, as gravity is only in play in the up and down directions?
     
  2. jcsd
  3. May 6, 2013 #2

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    First, you should review the difference between mass and weight to understand why you do not need to multiply by g if your units are in pounds.

    For the sides you are going to need to do calculus (not terribly hard calculus, but calculus nonetheless). The water pressure pushes equally in ALL directions, including out to the sides. So there is force from the water on the sides of the lobster tank, and the amount of force in any small area of the tank is going to depend on the water pressure at the depth of that area
     
  4. May 6, 2013 #3

    Ahh, yes. The notes I wrote down were throwing me off, they weren't in lbs like i was assuming.
     
  5. May 6, 2013 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    There is no point if you are finding the total force on the bottom because the pressure at each point is the same. But if you want to find the total force on the sides, the pressure varies with depth. Imagine a thin strip across a side at a specific height, z, and thickness dz. The pressure is given by the height of water above that height. Since the 2 feet deep, the height of water above z is 2- z. The weight of water pressing down is 64.2(2- z)(dz). That's the force on that strip. To find the total force on the side, integrate that for z going from 0 to 2.

    "Without gravity" there would be no force! A fluid, such as a liquid or a gas, presses in all directions, not just up or down. The sideways force due to water at every point is exactly the same as the downward force, the density times the volume of water above that point.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Pressure on the Bottom of a tank
  1. Draining a Tank (Replies: 5)

Loading...