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Using differentials to approx error

  1. Nov 3, 2003 #1
    I need help with these type of problems badly.

    Here's one I'm stuck on.

    The period of a simple pendulum with small oscillations is calculated from the forumula T=2*pi*sqrt(L/g)
    Where L is the length of the pendulum and g is the acceleration of gravity.

    If the values of L and g have errors of at most 0.5% and 0.1% resprectively, use differentials to approx the maximum % error in T.

    Just looking at this makes my head spin. So how do I start this baby off?
  2. jcsd
  3. Nov 3, 2003 #2
    How about differentiating?
  4. Nov 5, 2003 #3


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    Staff Emeritus
    Science Advisor

    You should know: if f is a function of x and y (f(x,y)), then
    df= (∂f/∂x)dx+ (∂f/∂y)dy.
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