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January 28, 2015

January 28, 2015

Posted by **falcon306** on Saturday, July 30, 2011 at 9:32pm.

What is the spring constant of each spring if the empty car bounces up and down 1.9 times each second?

What will be the car's oscillation frequency while carrying four 68kg passengers?

- Physics -
**drwls**, Saturday, July 30, 2011 at 10:11pmThe oscillation frequency is

f = [1/(2 pi)]sqrt (K/m)

K is the overall spring constant of the four springs in parallel. The k for each individual spring is K/4.

Use the first equation to solve for k and then use k = K/4.

For your second question, m increases from 1400 to 1400 + 4*68 = 1672 kg. That will multiply the original oscillation frequency by a factor sqrt(1400/1672) = 0.9151

- Physics -
**falcon306**, Saturday, July 30, 2011 at 10:50pmI'm not sure how to solve for k though.

- Physics -
**drwls**, Saturday, July 30, 2011 at 11:45pmWith a bit of algebra applied to the equations above.

4 pi^2 f^2 = K/m

K = 4 pi^2*m*f^2

k = K/4 = pi^2*m*f^2

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