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!

Homework Help: Leaky bucket in SHM

  1. Aug 13, 2013 #1
    1. The problem statement, all variables and given/known data
    There is a bucket with a leak in it in verticle SHM. What is the rate that the period changes with time?
    dm/dt = 2 g/s
    bucket = 2 kg
    total water = 10kg
    starting amplitude = 3cm
    k=125 N/m

    2. Relevant equations

    3. The attempt at a solution

    dT/dt = 2pi * sqrt((dm/dt)/k)
    dT/dt = 2pi * (dm/dt)^1/2 / k^(1/2)
    dT/dt = 2pi * (m/2)^-1/2 / k^1/2
    dT/dt = 2pi * (m2k)^-1/2

    my calculus isn't the sharpest so I probably screwed up taking the derivative?
  2. jcsd
  3. Aug 13, 2013 #2
    Yeah, I think you did. Take a look at the first line again. You clearly know ##\sqrt{A}=A^{\frac{1}{2}}##, so perhaps make that conversion for ##T## before taking the derivative. Also, you will need the chain rule for this problem.
  4. Aug 13, 2013 #3

    rude man

    User Avatar
    Homework Helper
    Gold Member

    What does this mean? Units have to be kg/s, not g/s.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted