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Question
Can you please help me with the following question:
Which spring requires more material to make: A spring of radius 5cm and height 4cm that makes 3 complete turns or a spring of radius 3cm, height 4cm that makes 5 complete turns.
I'm totally stuck on this one! Thanks for any help.
The lengthof each spring, when laid out straight, is a hypoteneuse on a triangle.
The 1st has r = 5 with 3 revolutions, which gives x = 3*5(2π) = 30π.
It also has height 4, which makes y = 4.
The 2nd has r = 3 with 5 revolutions, which gives it length 5*3(2π) = 30π.
It has height 4, which makes y = 4.
Since x and y are the same for both, they are equal.
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Scotto
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