Question

The radius of a metal wire is 0.5 mm. How much force is required to increase the length by 0.2% of the original length.​

Answer 1

Answer:

To find :The force required to increase the length of the wire by 0.2%

Given: r=0.2mm : Y=9.0*10^10 N/m^2

Formula used:Young's modulus = tensile stress/ tensile strain

Y= Force per unit area / strain

Solution:

Y=(F/A)/(∆L/L)

F=Y A (∆L/L)

F=Y (πr^2)(∆ L/L)

F=(9×10^10) ×3.14×(0.2×10^-3)^2 × ( 0.2/100)L/L

F=22.608N

Answer:22.608 N