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Simple harmonic motion problem

  1. May 14, 2016 #1
    1. The problem statement, all variables and given/known data
    A body performaning simple harmonic motion has a displacement x given by the equation x= 30 sin 50t, where t is the time in seconds. what is the frequency of the oscillation?
    Answers are:
    A. 0.020Hz B. 0.13Hz C. 8.0Hz D. 30Hz E. 50Hz
    (correct answer is B according to the mark scheme)
    2. Relevant equations
    ω = 2πf
    x = Amplitude cos (2πf t)
    x = Amplitude sin (2πf t)
    x = Amplitude cos (ω t)
    x = Amplitude cos (ω t)
    3. The attempt at a solution
    f = 50/2π = 7.9577Ηz according to the standard SHM formulas, which means the answer is C not B? what has gone wrong?
     
  2. jcsd
  3. May 14, 2016 #2

    Doc Al

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    Staff: Mentor

    I'd say you are correct.

    Interestingly, answer B is the inverse of that (1/f).
     
  4. May 14, 2016 #3
    those who had calculated time period first and were in a hurry would mark (B) in the exam:eek:
     
  5. May 14, 2016 #4

    Doc Al

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    Staff: Mentor

    Exactly. It's a trap!
     
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