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!

Pumping Problem

  1. Mar 18, 2009 #1
    1. The problem statement, all variables and given/known data

    A tank is in the shape of an inverted right circular cone with a radius of 10 feet and a height of 6 feet. Assume the tank contains water to a depth of 4 feet. Find the work required to pump all but 1 foot of water from the tank.

    2. Relevant equations

    W=[tex]\int^{b}_{a}Fdx[/tex]
    F= weight*[tex]\Delta[/tex]v
    [tex]\Delta[/tex]v=[tex]\pi[/tex]r[tex]^{2}[/tex][tex]\Delta[/tex]y
    weight of water=62.4 ft/lb

    3. The attempt at a solution

    [tex]\Delta[/tex]v=[tex]\pi[/tex](5y/3)[tex]^{2}[/tex][tex]\Delta[/tex]y
    [tex]\Delta[/tex]v=25[tex]\pi[/tex]/9*y[tex]^{2}[/tex][tex]\Delta[/tex]y

    F=62.4*25[tex]\pi[/tex]/9*y[tex]^{2}[/tex][tex]\Delta[/tex]y
    F=544.54y[tex]^{2}[/tex][tex]\Delta[/tex]y

    W=[tex]\int^{6}_{1}544.54y^{2}(6-y)dy[/tex]
    W=[tex]\int^{6}_{1}3267.26y^{2}-544.54y^{3}dy[/tex]
    W=[tex][1089.09y^{3}-136.14y^{4}]^{6}_{1}[/tex]
    W=235242.46-176431.84-1089.09+136.14

    W=57857.67 ft*lb

    Did I do my work correctly? Help please! Thank you much!
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Pumping Problem
  1. Diffeomorphism problem (Replies: 0)

  2. FEM problem (Replies: 0)

  3. Convolution Problem (Replies: 0)

  4. Dirichlet problem (Replies: 0)

  5. Radiation heat pump? (Replies: 0)

Loading...