How to Calculate Spring Constant and Weight from Oscillation Frequency?

AI Thread Summary
In a lab class, a student is tasked with calculating the spring constant and weight of a package oscillating at 2 Hz using a spring balance that reads from 0 to 15 kg. The relevant equation for oscillation is T = 2π√(m/k), where T is the period, m is mass, and k is the spring constant. The student initially struggles with the lack of information on displacement but realizes they can use the provided data to solve the problem. By understanding the relationship between frequency and period, they can derive the necessary values. The discussion highlights the importance of applying theoretical knowledge to practical lab scenarios.
Kavorka
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I am in a lab class that is suppose to cover the content of the lecture, however this week we are doing things in lab we haven't even touched in lecture. I have been able to finish the entire report, however there is an extension problem on the lab that I'm not sure how to solve, because we have never solved these in the past:

The scale of a spring balance that reads from 0 to 15 kg is 12 cm long. A package suspended from the balance is found to oscillate vertically with a frequency of 2 Hz. (a) What is the spring constant? (b) How much does the package weight?

I'm not sure how to factor the spring's length into this because it isn't mentioned what the displacement from equilibrium is, just the natural length. I also know that frequency and period (T) are inverses. From the lab we have the equation:

T = 2pi√(m/k)

I'm not sure what else to use in order to solve for both m and k. I don't think I can use Hooke's Law as we don't have the weight or the position.
 
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Kavorka said:
The scale of a spring balance that reads from 0 to 15 kg is 12 cm long.

How can you make use of this to find k?
 
Oh stupid me I can just plug in numbers with that info. I have it now!
 
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