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

Rotation of Earth and falling objects

  1. Jun 26, 2014 #1
    Hello everyone!

    If a ball is released from the top of a very tall building, would it land ahead in the direction Earth is rotating (to the east) or would it lag behind i.e the Earth "moves out" from underneath it so it lands to the west? I think it should land ahead to the east since its tangential velocity is greater than that of the ground, but I'm not sure.

    Thank you very much!
     
    Last edited: Jun 26, 2014
  2. jcsd
  3. Jun 26, 2014 #2

    jbriggs444

    User Avatar
    Science Advisor

    Yes, all things being equal, it would land to the east. As you point out, the top of the building is moving slightly faster eastward than the bottom and ball continues to carry this excess as it falls.

    Back of the envelope...

    For a 100 meter building the fall will nominally take 5 seconds (neglecting air resistance). The Earth is rotating at 2pi radians in just under 24 hours. With a 100 meter delta in radius, that's about 7 millimeters per second. Over a 5 second fall that would amount to about 3.5 centimeters.
     
  4. Jun 26, 2014 #3

    sophiecentaur

    User Avatar
    Science Advisor
    Gold Member

    AKA Coriolis Force.
     
  5. Jun 27, 2014 #4
    Thanks both of you! Appreciate it. :)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Rotation of Earth and falling objects
  1. Falling objects (Replies: 2)

  2. Falling to Earth (Replies: 12)

Loading...