The breaking stress of aluminium is 7.5x 107 N/m2 . Find the greatest length of aluminium wire that can hang vertically without breaking. Density of aluminium is 2.7x103 kg/m3 .
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Breaking stress of = σ=7.5x 10⁷ N/m2
density of Aluminium= ρ =2.7 X 103 kg/m3
g=10m/s²
let the maximum length that can be hung vertically be L
Let CSA=A
volume of wire=AL
mass of wire=ρAL
when hung force acting on the wire
F=ρALg
F/A=ρlg
σ= ρlg
now maximum, stress that wire can withstand σ=σb
so,
ρLg=σb =7.5x 10⁷
L=7.5x 10⁷/ρg
=7.5x 10⁷/2.7x10³x10
L=2.77x10³ m
density of Aluminium= ρ =2.7 X 103 kg/m3
g=10m/s²
let the maximum length that can be hung vertically be L
Let CSA=A
volume of wire=AL
mass of wire=ρAL
when hung force acting on the wire
F=ρALg
F/A=ρlg
σ= ρlg
now maximum, stress that wire can withstand σ=σb
so,
ρLg=σb =7.5x 10⁷
L=7.5x 10⁷/ρg
=7.5x 10⁷/2.7x10³x10
L=2.77x10³ m
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