Spring constant and oscillation frequency

AI Thread Summary
The discussion revolves around calculating the spring constant for a compact car with a mass of 1300 kg and its oscillation frequency when carrying additional weight. For part a, the frequency of 1.4 oscillations per second is provided, which is used to derive the spring constant using the formula k = m(f2π)². The participants emphasize understanding the definition of frequency as the number of oscillations per second. For part b, the frequency will change when the car carries four 90 kg passengers, requiring an adjustment in mass for calculations. The conversation highlights the importance of correctly applying the formulas and understanding the concepts of oscillation and frequency.
aligass2004
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Homework Statement


A compact car has a mass of 1300kg. Assume that the care has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.

a.) What is the spring constant of each spring if the empty car bounces up and down 1.4 times each second?
b.) What will be the car's oscillation frequency while carrying four 90kg passengers?


Homework Equations





The Attempt at a Solution



I know for part a I will use f = 1/2pi [sq rt (k/m)], which will be k = m (f2pi)^2 when rearranged. I'm just not sure what the frequency would be.
 
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For part a) the frequency is given to you. 1.4times/second is a frequency.
 
The car bounces up and down 1.4 times each second. What is the definition of frequency?

If you are talking about the second part, all you have to do is use the information you solved for, and change the mass accordingly.
 
Mindscrape said:
The car bounces up and down 1.4 times each second. What is the definition of frequency?

The definition of a frequency is the "number of oscillations per second. This is what you are given. The car bounces up and down (oscillates) 1.4 times each second. So,

f=1.4
 
I tried using 1.4 for the frequency, and I got 1.01E5, but it wasn't right.
 
G01 said:
The definition of a frequency is the "number of oscillations per second. This is what you are given. The car bounces up and down (oscillates) 1.4 times each second. So,

f=1.4

Man, you can't answer his questions for him.

How, exactly, did you solve it, aligass?
 
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