Question

Steel rod of radius 10 millimetre of length 2 metre is stretched by a force of hundred km along its length and elongation in a in wire is 3.2 millimetre find the stress and young modulus of the material of the rodâ

Answer 1

Answer:

here is your answer

Explanation:

Given:

steel rod radius= 10mm = 10×10^-3m

Force = 100kN = 100×10^3N

Elongation of wire = 3.2mm =3.2×10^-3m

Stress = Force/area

Stress= 100×10^3/πr^2

= 1×10^5/3.14×(10×10^-3)^2

= 1×10^5/3.14×100×10^-6

= 1×10^5/3.14×10^-4

=0.318×10^9

Stress=3.18×10^8

Young's modulus = stress/∆l/l

= 3.18×10^8/3.1×10^-3/2

= 3.18×10^8/1.55×10^-3

Young's modulus=2.05×10^11Nm^-2

hope this helps you