christine hangs a 3m length of steel wire from the ceiling and attaches a mass of 2 kg to the end of this wire?
she observes that the mass extends the length of the wire by 3.6mm. if the diameter of the wire is 0.32mm, calculate:
a) the strain of the wire
b) the stress of the wire
c) a value of Young's modulus for steel
PLEASE help in detail Please
Strain = Delta(L)/L
= 0.6/3
= 0.2
Stress = F/A
F = ma (a =g = 9.8m/s^2)
F = 2 x 9.8 = 19.6N
A = 2(Pi)r h
A = 2 x 3.14 x 0.00016 x 3
A = .003m^2
Stress = 6.5 x 10^3N/m^2
Young's modulus = mgL/A*delta(L)
= 19.6 x 3 /0.003 x 0.6
= 3.2 x 10^4 N/m^2
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