Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

B Finding Constant value K

  1. Mar 16, 2017 #1
    Hi,
    I'm working on a problem about a spherical balloon as its inflated slowly the radius of the balloon is in cm and the time is in seconds

    dr/dt = k/r2

    Now I know how to rearrange this equation using separable differentiation

    r=3√3kt+c

    However I would like to find the value of the constant K

    For example the radius is 6cm and the radius is increasing at the rate of 5/36pi cm per second and I would like to rearrange the dr/dt=k/r2 to find the value of K

    Any help would be appreciated
     
  2. jcsd
  3. Mar 16, 2017 #2

    phyzguy

    User Avatar
    Science Advisor

    You are given dr/dt (5/36pi cm per second) at a given r (6cm). Plug these into your first equation and solve for k.
     
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: Finding Constant value K
Loading...