Results 1 to 2 of 2

Thread: pendulum

  1. #1
    Junior Member
    Feb 2008


    A simple pendulum is made from a 0.673 m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Aryth's Avatar
    Feb 2007
    Well, we know that pendulums have their greatest speed when they are at maximum kinetic energy, and that is when the pendulum is straight up and down, and reaching that point the FIRST time is one fourth the time it would take for the pendulum to complete one full cycle.

    We know that the period of the pendulum is represented by:

    $\displaystyle T = 2\pi\sqrt{\frac{L}{g}}$

    $\displaystyle \frac{1}{4}$ of this would be the time it takes to attain it's greatest speed:

    $\displaystyle T = \frac{\pi}{2}\sqrt{\frac{L}{g}}$

    Now we fill in all the details:

    $\displaystyle T = \frac{\pi}{2}\sqrt{\frac{0.673}{9.81}}$

    If you work it all out, you should get:

    $\displaystyle T = 0.41 s$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. conical pendulum,, could somebody help please,,
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: Nov 22nd 2010, 01:35 PM
  2. Pendulum problem
    Posted in the Advanced Applied Math Forum
    Replies: 10
    Last Post: Aug 16th 2010, 04:03 AM
  3. simple pendulum
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: Sep 25th 2009, 08:31 AM
  4. pendulum
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Mar 12th 2008, 07:21 PM
  5. Pendulum
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Jul 30th 2005, 05:05 AM

Search Tags

/mathhelpforum @mathhelpforum