A steel wire of length 1.5 m and
diameter A.25 cm is ioaded with
a force of 98 N. The increase in
length of the wire is
1.5 x 10-a m. Calculate the tensiie
stress and the fractional change
in iength of the wire.
Answers
Answered by
49
Hello Dear,
◆ Answer -
Fractional change in length of wire = 10^-8
◆ Explanation -
Cross sectional area of wire is -
A = πr^2
A = 3.142 × (0.25/2)^2
A = 0.049 m^2
Tensile stress of steel wire is calculated as -
Stress = F / A
Stress = 98 / 0.049
Stress = 2000 N/m^2
Fractional change in length of wire is given by -
Strain = l/L
Strain = Stress / Y
Strain = 2000 / 2×10^11
Strain = 10^-8
Therefore, fractional change in length of wire is 10^-8.
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