Question on oscillations spring balance and fish

AI Thread Summary
The spring balance has a scale of 7.00 cm and a maximum reading of 180 N. The fish oscillates vertically at a frequency of 2.50 Hz. An initial attempt calculated the spring constant as 25.714 N/m, leading to a mass of 160.714 kg for the fish. However, there is confusion regarding the correct relationship between frequency and mass, as well as the proper use of the spring constant. Clarification is needed on the correct formulas and values to accurately determine the fish's mass.
squintyeyes
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The scale of a spring balance reading from zero to 180 N is 7.00 cm long. A fish suspended from the balance is observed to oscillate vertically at 2.50 Hz. What is the mass of the fish? Neglect the mass of the spring.
________ kg

Attempt
k =(180-0)/(7-0) = 25.714 N/m

frequency = (m/k)^(1/2)
2.5 = (m/25.714)^(1/2)
6.25 = m/25.714
m = 160.714 kg

I am pretty certain this is wrong.
 
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I think there are two problems. The first is that the equation is actually:

\omega = \sqrt{\frac{k}{m}}​

and you have the reciprocal of that. The second problem is that omega is not quite the same thing as the frequency of oscillation.
 
yeah but what is the spring constant, K. I sort of need that to solve the problem.
 
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