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Simple Harmonic Motion: Finding displacement at given time t

  1. Nov 20, 2016 #1
    1. The problem statement, all variables and given/known data
    A 1.10 kg mass on a spring has displacement as a function of time given by the equation
    x(t)=(7.40cm)cos[(4.16rad/s)t−2.42rad].

    Find the position of the mass at t=1.00s;
    2. Relevant equations
    x = Acos(ωt+∅)

    3. The attempt at a solution
    I tried to just plug in the time t in that equation to solve for the displacement, but I'm getting 0.074 which apparently is not the right answer:

    x = 0.0740m*cos(4.16rad/s(1.00s) - 2.42rad)
    x = 0.074
     
  2. jcsd
  3. Nov 20, 2016 #2

    gneill

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    Staff: Mentor

    Is your calculator's mode set for degrees or radians?
     
  4. Nov 20, 2016 #3
    aha! it's in degrees!!!
     
  5. Nov 20, 2016 #4

    gneill

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    Staff: Mentor

    :smile:
     
  6. Nov 20, 2016 #5
    Thanks a lot lol. I didn't catch that at all. I'm so stupid XD
     
  7. Nov 20, 2016 #6

    gneill

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    Staff: Mentor

    Eh. It happens more often than you might think, and to some very clever people, too!
     
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