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Converting from lb_f/in to N/m issues

  1. Dec 9, 2014 #1
    1. The problem statement, all variables and given/known data
    I am trying to find a damping ratio. I know ##k=50## lb##_f##/in, ##m=50## lb, ##c = 0.75## lb##_f##-sec/in.

    2. Relevant equations
    ##1## lb##_f##/in = ##175.1268## N/m
    ##1## lb = ##0.4536## kg

    3. The attempt at a solution
    Then ##k = 8756.34## N/m, ##c = 131.345## N/m-sec, and ##m = 22.675## kg.
    $$
    \zeta = \frac{c}{2\omega_nm} = \frac{131.345}{2(0.00259)(22.675)} = 1000.26
    $$
    but this seems awfully large. Are my conversion factors incorrect?
     
  2. jcsd
  3. Dec 9, 2014 #2

    vela

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    How is ##\omega_n## defined?
     
  4. Dec 9, 2014 #3
    Thanks. I divided m by k instead of the other way around.
     
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