Calculating Force on a Stretched Steel Rod | Young's Modulus 200*109 Pa

  • Thread starter Thread starter fightboy
  • Start date Start date
  • Tags Tags
    Stress-strain
Click For Summary
To calculate the force on a stretched steel rod, the relevant parameters include a length of 250 cm, a diameter of 0.254 cm, and a stretch of 0.85 cm, with Young's Modulus for steel at 200*10^9 Pa. The correct force calculated is 3400 N using the formula F/A = Y(ΔL/L0). There is confusion regarding the area calculation, as it is not provided in the problem statement. Posting detailed calculations can help clarify the issue. Accurate area determination is crucial for solving the problem correctly.
fightboy
Messages
25
Reaction score
0
A cylindrical steel rod is originally 250 cm long and has a diameter of 0.254 cm. A force is applied longitudinally and the rod stretches 0.85 cm. What is the magnitude of the force? The value for Young's Modulus for steel is 200*109 Pa.
The correct answer is 3400 N, i used the equation F/A=Y(ΔL/L0) but kept getting some weird numbers. I think I'm screwing up on finding the area, since in most of the problems the area is already given. Can someone help me figure this out?
 
Physics news on Phys.org
fightboy said:
A cylindrical steel rod is originally 250 cm long and has a diameter of 0.254 cm. A force is applied longitudinally and the rod stretches 0.85 cm. What is the magnitude of the force? The value for Young's Modulus for steel is 200*109 Pa.
The correct answer is 3400 N, i used the equation F/A=Y(ΔL/L0) but kept getting some weird numbers. I think I'm screwing up on finding the area, since in most of the problems the area is already given. Can someone help me figure this out?

Things will go much easier if you post your calculations, so says the Magic 8-Ball. :smile:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 29 ·
Replies
29
Views
8K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K