A wire is stretched to a certain amount under a load. If the load and diameter of the wire are both increased to three
times of their initial value, find the stretch caused in the wire.
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1
Answer:
Young's modulus, Y=
A
W
×
l
L
∴ Elongation, l=
AY
WL
=
πr
2
Y
WL
When both load and radius are increased to four times, the elongation becomes
l
′
=
π(4r)
2
Y
4W×L
=
4πr
2
Y
WL
=
4
l
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