text: Homework Help: Question on oscillations spring balance and fish
  
  1. Jan 30, 2010
  
  squintyeyes
  
  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.
  
  2. Jan 30, 2010
  
  cepheid
  
  Staff Emeritus
  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.
  
  3. Jan 31, 2010
  
  squintyeyes
  
  yeah but what is the spring constant, K. I sort of need that to solve the problem.
  
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explanation: The document is a homework help post that includes a question about finding the mass of a fish based on its oscillation frequency on a spring balance. The post also includes an attempt at solving the problem and a response from a staff member pointing out potential issues with the solution. The document contains a question and an attempted answer.
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distilabel_metadata.content: Homework Help: Question on oscillations spring balance and fish
  
  1. Jan 30, 2010
  
  squintyeyes
  
  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.
  
  2. Jan 30, 2010
  
  cepheid
  
  Staff Emeritus
  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.
  
  3. Jan 31, 2010
  
  squintyeyes
  
  yeah but what is the spring constant, K. I sort of need that to solve the problem.
  
  Share this great discussion with others via Reddit, Google+, Twitter, or Facebook
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a homework help post that includes a question about finding the mass of a fish based on its oscillation frequency on a spring balance. The post also includes an attempt at solving the problem and a response from a staff member pointing out potential issues with the solution. The document contains a question and an attempted answer.
  
  Label: question-and-answer