Calculating Spring Weight: Formulas and Tips for Compression Testing

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Discussion Overview

The discussion revolves around the methods for calculating the weight required to compress a spring, focusing on the application of Hooke's law and the determination of the spring constant (k). Participants explore both theoretical formulas and practical approaches, including experimental methods.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • Some participants inquire about formulas for calculating the weight needed to compress a spring, questioning whether experimentation is necessary.
  • One participant states that a constant force of kx is required to maintain a spring stretched a distance x from its equilibrium position, emphasizing the need to determine k experimentally.
  • Another participant reiterates that k can only be determined experimentally and provides a simplified form of Hooke's law, noting the negative sign indicates the restoring force's direction.
  • There is a clarification regarding the negative sign in Hooke's law, explaining that it denotes the opposite direction of the restoring force relative to displacement.
  • Some participants suggest that k can also be calculated from the material properties and shape of the spring, indicating an alternative approach to determining the spring constant.

Areas of Agreement / Disagreement

Participants generally agree that the spring constant k must be determined experimentally, but there are differing views on whether it can also be calculated from material properties and shape. The discussion remains unresolved regarding the best approach to calculate the weight needed for compression.

Contextual Notes

Limitations include the dependence on the accurate determination of the spring constant and the potential variability in material properties affecting calculations.

bucky1andonly
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is there any formulas for a spring, or any way at all to calculate the weight needed to compress a spring, or do you just have to experiment
 
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Mmh the law is "you have to exert a constant force of kx to maintain the spring stretched a distance x from its position of equilibrium", where k is the spring constant. But ultimately, you have to find k experimentally.
 
quasar987 is correct; k can only be determined experimetally. Once you have that:

A simple form of Hooke's law
[tex]F=-kx[/tex]
F = force. k = spring constant. x = displacement from relaxed (not stretched or compressed). Note the right side is negative to denote "equal but opposite".

Also:
[tex]PE = \frac{1}{2}kx^2[/tex].
 
The negative sign in Hooke's law indicates that the direction of the restoring force is opposite to the displacement from the unstretched position. For example: Displace the end of the spring to the right, the spring force acts to the left.
 
...if you don't have K, though, you can still calculate it from the properties of the material and shape of the spring.
 
thx, that helped a lot
 

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