Calculating Spring Weight: Formulas and Tips for Compression Testing

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To calculate the weight needed to compress a spring, one must determine the spring constant (k) experimentally, as it cannot be derived solely from formulas. Hooke's law states that the force exerted by a spring is proportional to its displacement from equilibrium, expressed as F = -kx, where F is the force, k is the spring constant, and x is the displacement. The negative sign indicates that the restoring force acts in the opposite direction of the displacement. Additionally, potential energy stored in the spring can be calculated using the formula PE = 1/2 kx^2. Understanding the material properties and shape of the spring can also aid in calculating k if experimental data is unavailable.
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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
F=-kx
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:
PE = \frac{1}{2}kx^2.
 
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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