A copper wire has a length of 5.8m and a diameter of 4.0 m m . Under what load w

Question

A copper wire has a length of 5.8m and a diameter of 4.0 mm . Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N
A copper wire has a length of 5.8m and a diameter of 4.0 mm . Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N
A copper wire has a length of 5.8m and a diameter of 4.0 mm . Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N
A copper wire has a length of 5.8m and a diameter of 4.0 mm . Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N
A copper wire has a length of 5.8m and a diameter of 4.0 mm . Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N Under what load will its length increase by 0.25 mm ? Express your answer using two significant figures. F=__N

Explanation / Answer

E*A/L0 = F/L

E = Young's modulus for copper = 100 to 130 kN/mm^2
A = area of cross section in mm^2
L0 = initial length
L = extension
F = force

plugging your data in, keeping it all in mm or mm^2, and using E = 100 kN/mm^2:

F = E*A*L/L0
F = 100*10^3 N/mm^2 * pi*2^2 mm^2 * 0.25 mm / 5.8*10^3 mm
F = 10^5*pi*2^2*0.25/5.8*10^3
F = 54.14N

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