1. Not finding help here? Sign up for a free 30min 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!

Differentiating trig

  1. Jan 12, 2010 #1
    1. The problem statement, all variables and given/known data

    we have been doing some error analysis in school, but they were very straight forward for example. Centripetal Acceleration : Fc = 4pi^2 m R / T^2


    however, for my project i must find the uncertainty in the angle that i measured.
    the angle is formed by a cardboard sitting on pile of books creating a triangle.
    Hypothenus = 33cm
    Height = Variable ( Changes according to the stack of the book)

    please help !! differentiate theta = inverseSin(Opposite/Hypothenus)




    2. Relevant equations

    theta = inverseSin(Opposite/Hypothenus)

    3. The attempt at a solution

    well since i measurd these distances with a ruler

    the uncertainty for hypothenus would be +- 0.005m (last half digit of a number)
    and the uncertainty for heght is the same + - 0.005m (last half dight of a number)

    how do i use these to differentiate for one another?
    which formurla woudl i use pleaes help !!
     
  2. jcsd
  3. Jan 12, 2010 #2

    rl.bhat

    User Avatar
    Homework Helper

    If x = a/b, then the maximum error in measurement is
    Δx/x = Δa/a + Δb/b
     
  4. Jan 12, 2010 #3
    d(theta)=1/sqrt(1-(o/h)^2)

    now how should i ???

    HELP plz just differentiate for opposite and hypothenus for me please...
     
  5. Jan 13, 2010 #4

    rl.bhat

    User Avatar
    Homework Helper

    d(theta)=1/sqrt(1-(o/h)^2)
    From where did you get this expression?
    What it represents?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Differentiating trig
  1. Trig trig trig (Replies: 11)

  2. Trig Physics (Replies: 14)

  3. Trig Question (Replies: 1)

  4. Distance, trig (Replies: 1)

Loading...