SOLUTION: The stretch in a wire under a given tension varies directly as the length of the wire and inversely as the square of its diameter. If the length and the diameter of a wire are both

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Question 431841: The stretch in a wire under a given tension varies directly as the length of the wire and inversely as the square of its diameter. If the length and the diameter of a wire are both doubled, what is the effect on the stretch of the wire?
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Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Tension =t
length =l
diameter=d
...
talphal%2Fd%5E2
t=kl%2Fd%5E2
.....
length doubled = 2l
diameter doubled =2d
t1alpha2l%2F%282d%29%5E2
t1=2kl/4d^2
t1/t = %282kl%2F4d%5E2%29%2F%28+kl%2Fd%5E2%29
t1/t= +%282kl%2F4d%5E2%29+%2A+%28d%5E2%2Fkl%29
t1/t = 2/4 = 1/2
the tension will reduce by 1/2