A Level Physics AQA
Does a spring of larger diameter have a higher spring constant than the same spring with a lower diameter?
Assuming you are asking about a closed helically-coiled wire spring loaded in tension, then the spring constant k can be shown to depend inversely on the cube of the diameter, in other words a spring of larger diameter will have a LOWER spring constant than the same spring with a smaller diameter (all other things being equal).
Intuitively, this is because nearly all of the strain needed to cause the extensional is torsional, and so the larger the spring diameter, the lower the degree of twisting needed in the spring coils, so the lower the force required.
Intuitively, this is because nearly all of the strain needed to cause the extensional is torsional, and so the larger the spring diameter, the lower the degree of twisting needed in the spring coils, so the lower the force required.
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