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Springs on a car

  1. Jun 17, 2009 #1
    1. The problem statement, all variables and given/known data
    An automobile can be considered to be mounted on four identical springs as far as vertical oscillations are concerned. The springs of a certain car are adjusted so that the oscillations have a frequency of 3 Hz.
    (a) What is the spring constant of each spring if the mass of the car is 1300 kg and the weight is evenly distributed over the springs?

    2. Relevant equations

    w = (k/m)^(1/2)
    k(total) = k1 + k2 + k3 + k4 = 4k

    3. The attempt at a solution

    Since the springs are arranged in a parallel fashion, I can add their individual spring constants for an overall constant. Since the springs are identical, I can rewrite the sum of constants as 4k. Then, using the first equation listed above I have:

    3 = (4k/1300)^(1/2) and solving for k I found the solution to be 2925 N/m. What's wrong with my approach?
     
  2. jcsd
  3. Jun 17, 2009 #2
    w =/= f
    w = 2πf
    That's the only thing I can spot that's wrong. See if that gets you to the text-book's answer.

    You're welcome. ^^
     
    Last edited: Jun 17, 2009
  4. Jun 17, 2009 #3
    Dumb mistake on my part...thanks for the help...you're right on the money!
     
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