Percentage Uncertanty and youngs modulus

  • Thread starter Thread starter pandit bandit
  • Start date Start date
  • Tags Tags
    Modulus
Click For Summary
SUMMARY

The discussion centers on calculating the percentage uncertainty in the variable d^3, which is part of the Young's modulus equation E = 16π²K²M/bd³. The user provided specific measurements: mass of 0.1 kg (±0.001 kg), width of 12.6 mm (±0.1 mm), and thickness of 0.66 mm (±0.01 mm). The user successfully calculated the percentage uncertainty for the thickness as approximately 1.52% but was unsure how to proceed with the other dimensions. The concept of uncertainty propagation was identified as crucial for solving the problem.

PREREQUISITES
  • Understanding of Young's modulus and its formula
  • Knowledge of percentage uncertainty calculations
  • Familiarity with propagation of uncertainty techniques
  • Basic skills in dimensional analysis
NEXT STEPS
  • Study the propagation of uncertainty in measurements
  • Learn how to apply partial derivatives in uncertainty calculations
  • Explore advanced applications of Young's modulus in material science
  • Investigate the impact of measurement precision on experimental results
USEFUL FOR

Students in physics or engineering, particularly those studying material properties and uncertainty analysis in experimental data.

pandit bandit
Messages
2
Reaction score
0

Homework Statement



hi there! I am new to this forum and was just wondering if anyone could help with this question on percentage uncertainty. I am supposed to find the percentage uncertainty in d^3

the info given is
mass attached to the end of a strip= 0.1 (+-0.001)kg
the width of the strip = 12.6 (+- 0.1)mm
the thickness of the strip= 0.66(+- 0.01)mm

Homework Equations


I am also given the equation for youngs modulus

E= 16pi^2 K^2 M/bd^3

The Attempt at a Solution



I worked out the percentage uncertainty of the thickness of the strip which was approx. 1.52% but am for completely lost:confused:

Thank You!
 
Physics news on Phys.org
so would i just simply multiply the percentage uncertainty by 3 as its d^3?
 
Sure, I'd buy that.
 

Similar threads

What is the Young's Modulus of Aluminum, Steel, and Brass?
  • · Replies 14 ·
Replies
14
Views
3K
Finding Young's Modulus for Steel from two graphs
  • · Replies 1 ·
Replies
1
Views
4K
Calculating percentage uncertainty for young's modulus
  • · Replies 1 ·
Replies
1
Views
12K
Appying a force bar + Young's Modulus + Force Applied
  • · Replies 3 ·
Replies
3
Views
2K
Solve Magnetic Field Homework: Find Velocity of Metal Strip
  • · Replies 1 ·
Replies
1
Views
2K
Relationship between thickness, width and length
  • · Replies 6 ·
Replies
6
Views
6K
How do I use the number of oscillations given?
  • · Replies 18 ·
Replies
18
Views
3K
Longitudinal waves in a quartz plate
  • · Replies 5 ·
Replies
5
Views
2K
Calculating the Young's Modulus of Rubber - Calculation Check
  • · Replies 5 ·
Replies
5
Views
9K
Tensile stress, radius and Young's modulus
  • · Replies 6 ·
Replies
6
Views
4K