Spring-Mass Problem: Natural Frequency Calculation

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The discussion focuses on calculating the natural frequency of a spring-mass system where an unknown weight compresses a spring by 2.5 cm. The relevant equation used is T = 2*pi*sqrt(m/k), leading to the conclusion that the natural frequency is 3.15 s^-1. The participant confirms that the displacement is correctly converted to meters and uses the standard gravitational acceleration of 9.81 m/s². The calculations and units appear to be validated by the contributors. Overall, the approach to solving the problem is deemed correct.
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Homework Statement


A weight (unknown mass) is placed on a vertical spring (unknown spring constant) compressing it by 2.5 cm (one inch). What is the natural frequency of oscillation of this spring-mass system?


Homework Equations


(i) T = 2*pi*\sqrt{\frac{m}{k}}



The Attempt at a Solution


I argue that the spring's displacement should be \frac{mg}{k} = 0.025
So \frac{m}{k} = \frac{0.025}{g}
Plugged that in and got the natural frequency is 3.15 s^-1.

I just want to check if the equations are valid and if the displacement is in the right unites (meters, right?)
 
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Looks good. (What value did you use for g?)
 
Oh, good call. I used 9.81, so it's in meters.
 
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