The figure shows the stress versus strain plot for an aluminum wire that is stre
ID: 1262078 • Letter: T
Question
The figure shows the stress versus strain plot for an aluminum wire that is stretched by a machine pulling in opposite directions at the two ends of the wire. The scale of the stress axis is set by s = 10.5, in units of 107 N/m2. The wire has an initial length of 0.800 m and an initial cross-sectional area of 2.60
The figure shows the stress versus strain plot for an aluminum wire that is stretched by a machine pulling in opposite directions at the two ends of the wire. The scale of the stress axis is set by s = 10.5, in units of 10^7 N/m^2. The wire has an initial length of 0.800 m and an initial cross-sectional area of 2.60? 10^-6 m^2. How much work does the force from the machine do on the wire to produce a strain of 2.00? 10^-3?Explanation / Answer
The relation betweem stress and elongation is
stress = e/L
e = stress L = 2.00 * 10 ^-3 ( 0.800 m ) = 1.6 * 10 ^-3
stress can be expressed a s
stress = F/A
F = stress A = 10.5 * 10 ^7 N/m^2 ( 2.6 * 10 ^-6 m^2 ) = 273 N
the strain energy in the wire
E = (1/2) F e = ( 0.5 ) 273 N ( 1.6 * 10 ^-3) = 218 .4 mJ
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