Springs - simple harmonic motion

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SUMMARY

The discussion centers on calculating the work done on a spring using the formula W = 1/2 kx², where 'W' represents work, 'k' is the spring constant, and 'x' is the displacement from the equilibrium position. The user expresses confusion over the absence of the spring constant 'k' in the problem statement, which is essential for determining the work done by the air on the spring in a pressure gauge context. The conversation highlights the need for additional information or context to accurately solve the problem, particularly regarding the expected behavior of the pressure gauge.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants (k)
  • Familiarity with the work-energy principle in physics
  • Basic knowledge of pressure gauges and their operational principles
  • Ability to interpret and analyze physics problems involving springs
NEXT STEPS
  • Research how to determine the spring constant (k) for various types of springs
  • Study the relationship between pressure and work done in pneumatic systems
  • Explore detailed examples of work calculations involving springs in physics
  • Learn about the design and function of pressure gauges in measuring air pressure
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as engineers working with pneumatic systems and pressure measurement devices.

tascja
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my question is: is there a way to find the work done to a spring when the only variable given is the distance (x)??


Homework Statement


For the pressure gauge, what work is done by the air on the spring?


Homework Equations


W = 1/2kx2
Fx = kx


The Attempt at a Solution


I can't really attempt anything because i don't have k, its not given and I am not sure how to find it??
 
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If it is a pressure gauge what is it you would expect such a device to do? Will it measure say something like the pressure of the air? When it does that will it give a reading? What work will the air have done to affect that reading from the normal state?

Is there a diagram and more to the problem or just a general question about what work air pressure does inside a gauge?
 
The question doesn't give any other information so i think your right, they just want a general answer. thanks i was freaking out because they didnt give enough info!
 

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