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!

Time to fall through a hole in Earth, but not through center

  1. May 27, 2015 #1
    It is a classic physics problem to calculate how long it would take to fall through a hole that passes through the center of the Earth to the other side, assuming Earth is a sphere with uniform density. I also remember being posed a problem for if you were falling through a hole that passed not directly through the center of the Earth, but say along a chord from one part of the Earth's surface to another with a distance A from the chord's bisect to the Earth's center.

    My question is how to calculate the trip of the fall in the chord situation (I know you'd need calculus to approach the mass distribution).

    Also, how would you approach these types of problems using a non-uniform density distribution for the Earth? What if you considered the Earth to be an oblate spheroid and not a sphere? I'm interested in messing around with these problems.
  2. jcsd
  3. May 27, 2015 #2


    User Avatar
    Science Advisor
    Homework Helper

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook