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2021-04-23
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If the elastic limit of steel is $5.0\times {10}^{8}$ Pa,determine the minimum diameter a steel wire can have if it is tosupport a 60 kg circus performerwithout its elastic limit being exceeded.

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Usamah Prosser

Answered 2021-04-25
Author has **86** answers

elastic limit is the maximum strees that can be applied to thesubstance before it gets permenantly deformed

E = maximum stress

as we know

stress

or

for stress to be maximum area should be minimum hence here A is the minimum area of cross-section thesubstance and F is the maximum force applied on the subtance now in the given problem

mass of the circus performer m = 60 kg

downward force F acting on the steel wire = weight of the man= m.g =588N

now let A be the minimumarea of cross-section ofthe steel wire

then using

or

now area

where r is the radius of the wire

hence the diameter of the wire

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