Question

What force is required to stretch a steel wire 1mm2
in cross-section to
increase its length 20%. Given Y= 2x1011 Nm-2

Answer 1

Question:-

What force is required to stretch a steel wire 1mm2

in cross-section to

increase its length 20%. Given Y= 2x1011 Nm-2

Answer:-

Given that,

Young modulus Y=1.26×10

12

dyne/cm

Area A=1cm

2

As the length of the wire is doubled, the change in length is equal to its

original length.

If L is the original length

Then, Δl=l

We know that,

Y=

A×ΔL

F×L

F=Y×A

F=0.126×10

12

×1×10

−4

F=1.2×10

7

N

Hence, the force is 1.2×10

7

N

hope it helps you☺

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