if it helps, the total length of the cable is 8m
usings youngs modulus, i need to figure out the extension in a cable...now
m = 950kg
youngs modulus of steel = 210 GN m^-2
diameter = 11.5929mm
so where am i going wrong?
f = m x g
f = 950mg x 210GNM^-2
f = 1.995 x 10^14 kg m^-2
f = 1.995 N
stress (as i dont have a sigma symbol, ill use 's')
s = f / a
s = 1.995 N / 11.5929mm
s = 0.1720
extension = s x original length
e = 0.1720 x 8
e = 1.376mm
Thanks Guys
is this right?
σ = Force
Area
σ = 9500 N
0.105556 x 10-3 m2
E = σ Transpose to ε =σ
ε E
ε = 90 x 106 N M-2
210 x 109 N M-2
ε = 0.000428 (No units because its an extension)
ε = Δl Transpose to Δl = ε
l l
Δl = 0.000428 x 8m
Δl = 0.003424mx 1000
Δl = 3.42mm