Help with Calculating Young's Modulus Using Data

Click For Summary
SUMMARY

The discussion focuses on calculating Young's Modulus for a steel wire measuring 1.72 meters in length and 0.4 mm in diameter, subjected to various loads. The formula provided is E = F/A * L/ΔL, where A represents the cross-sectional area, F is the applied load, L is the original length, and ΔL is the change in length. Participants clarify the necessary parameters and guide the user on how to apply the formula using the given data points for load and extension.

PREREQUISITES
  • Understanding of Young's Modulus and its significance in material science
  • Knowledge of basic physics concepts such as force, area, and extension
  • Familiarity with the formula E = F/A * L/ΔL
  • Ability to calculate the cross-sectional area of a cylinder using diameter
NEXT STEPS
  • Calculate the cross-sectional area of the steel wire using the formula A = π(d/2)²
  • Perform calculations for Young's Modulus using the provided loads and extensions
  • Explore the implications of Young's Modulus in material selection for engineering applications
  • Review related concepts such as tensile strength and elastic limit in materials
USEFUL FOR

Students in physics or engineering, material scientists, and professionals involved in mechanical design and analysis will benefit from this discussion.

ayaanle
Messages
1
Reaction score
0
can anyone help me with this question...i am stuck


data for steal wire 1.72 m long and 0.4 mm diameter

load 10 20 30 40 50 60
extension 0.7 1.5 2.1 2.9 3.6 4.3

find youngs modulus?


i have this formula E=F/A*L/AL but don't know how to use it...
 
Physics news on Phys.org
Welcome to PF.

It would help if you had the right equation:
http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html#c2

A is your area - they give you the diameter.

F is your load - they give you a bunch of loads.

L is your length - they give you the length

ΔL is the change in length - they give you Δ's for various loads.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 3 ·
Replies
3
Views
9K
Replies
10
Views
7K
  • · Replies 19 ·
Replies
19
Views
11K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
5
Views
9K
  • · Replies 4 ·
Replies
4
Views
8K