1. Limited time only! Sign up for a free 30min personal 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!

Torricelli's Law (Seperable DE Application)

  1. Jan 28, 2014 #1
    1. The problem statement, all variables and given/known data
    A spherical tank of radius 4(ft) is full of gasoline when a circular bottom hole with radius 1 in. is opened. How long will be required for all the gasoline to drain from the tank?



    2. Relevant equations

    dVolume/dTime = -a(2gy)^(1/2)

    3. The attempt at a solution
    Right now i'm trying to find an equation to express the cross sectional area of the sphere in terms of y. The answer solution manual I am looking out says that A(y) = ∏(4^2 - (4-y)^2). However, I don't see how this can be correct as that would mean the cross section area when y=4 is equal to ∏*16, which is obviously false, because the top of a sphere should have cross sectional area of 0. It works when you enter 0 in for y however. Help?
     
  2. jcsd
  3. Jan 28, 2014 #2

    pasmith

    User Avatar
    Homework Helper

    The sphere has radius 4, so if its bottom is at [itex]y = 0[/itex] then its center is at [itex]y = 4[/itex] and its top is at [itex]y = 8[/itex].
     
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: Torricelli's Law (Seperable DE Application)
  1. De Morgan's Law (Replies: 12)

Loading...