SOLUTION: A 3.0m long wire with diameter of 1.5mm is elongated by 0.60mm when a 6.0kg load is hung from one end.calculate (i) final length (ii) strain (iii)stress (iv)young modulus of

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A 3.0m long wire with diameter of 1.5mm is elongated by 0.60mm when a 6.0kg load is hung from one end.calculate (i) final length (ii) strain (iii)stress (iv)young modulus of      Log On


   

Question 1191906: A 3.0m long wire with diameter of 1.5mm is elongated by 0.60mm when a 6.0kg load is hung from one end.calculate
(i) final length
(ii) strain
(iii)stress
(iv)young modulus of the wire.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The theorey involved
Stress =%28+Force%2FArea%29=+%28mg%2Farea+of+cross+section%29= mg%2F%28pi%2Ar%5E2%29

Strain+=+Change+in+length%2FOriginal+length=l%2FL
Load = 6*9.8 N

length = 3.0 m,
Change in length= 0.60 mm=0.0006 m
radius = 0.75mm= 0.00075m Area = pi*(0.00075)^2

Stress= 6%2A9.8%29%2F%28pi%2A0.00075%29%5E2
= 1.059*10^7 N/m^2
Stress = 3%2F0.0006%29+=+2.0%2A10%5E%28-4%29
Youngs+modulus+=+stress%2Fstrain