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Angular Frequency of Damped Oscillator

  1. Nov 25, 2012 #1

    cd6

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    1. What is the angular frequency of a damped oscillator whose spring stiffness is 15 cm with a 19.6 N mass and a damping constant of 15 kg/s?



    2. ω0 = √(k/m) ----where k = spring constant and m=mass

    ζ= c/(2√(mk)) -----where m = mass, k = spring constant, and c = damping constant



    3. I first converted N to kg to get the mass. It resulted in ≈ 2 kg. The 15 cm would also be converted to .15 m. However, I don't know which formula to use. ζ is dimensionless but utilizes all three values given in the question; I need my answer in rad/s. The first equation using ω0, too, wouldn't give me those unit. I really just need a formula. This is my first post here, so I'm sorry if I'm lacking an appropriate description. I seriously just don't understand this problem. Thank you in advance!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 25, 2012 #2

    ehild

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    Homework Helper
    Gold Member

    ζ is not the angular frequency of the damped oscillator.

    Read
    http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator

    The unit of angular frequency is 1/s. What is the unit of √(k/m)?

    ehild
     
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