Solving for Work in a Stressed Aluminum Wire: Figure 12-56 Example

  • Thread starter Thread starter slydg895
  • Start date Start date
  • Tags Tags
    Work
AI Thread Summary
The discussion revolves around solving a physics problem related to the work done on a stressed aluminum wire, as depicted in a referenced figure. The user has attempted to calculate the work using the formula W = 0.5(stress)(strain)(volume) but is uncertain about their results. Key points of confusion include the elasticity modulus, the slope of the stress-strain curve, and the specific values for stress and strain. Additional insights from other users mention similar problems and provide a modulus value of 7E10 for reference. Clarifying these parameters is essential for accurately solving the problem.
slydg895
Messages
6
Reaction score
0
hey guys i have tried this problem many times and can't figure out the answer. please help

Heres the problem:
Figure 12-56 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 = 5.50, in units of 10^7 N/m2. The wire has an initial length of 0.950 m and an initial cross-sectional area of 2.50 × 10^-6 m2. How much work does the force from the machine do on the wire to produce a strain of 1.90 × 10^-3?

This is my work:
W=.5(stress)(strain)(volume)
volume=(area)(lenght)
And i get .124094.

What am i doing wrong?
 
Physics news on Phys.org
Does anyone have any ideas?
 
slydg895 said:
Does anyone have any ideas?
It is unclear what is the Elasticity modulus or the slope of the stress - strain curve or the value of the strain at the given stress? You didn't attach a figure.
 
I have a similar problem, my elasticity modulus (stress/strain) = 7E10.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top