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A metallic wire has a radius of 0.2 mm How much force is required to increase its length by 0.2%?CY 9.0x 1010 N/m213.(UPB 2014) Ans. 22.608 N2 |
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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^2Formula used:Young's modulus = tensile stress/ tensile strainY= Force per unit area / strainSolution: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=22.608NAnswer:22.608 N |
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