Finding the uncertainty in delta y?

In summary, the error propagation formula can be used to find the uncertainty ∆y in y as a function of the uncertainties ∆u and ∆v in u and v for the given function y = 1/2(u+v). This can be done by using partial differentiation with the formula: ∆y = |∂y/∂u|∆u + |∂y/∂v|∆v.
  • #1
SJay16
19
1

Homework Statement


Find the uncertainty ∆y in y as a function of the uncertainties ∆u and ∆v in u and v for the following functions:
y = 1/2(u+v)

Homework Equations

:
Error propagation formula[/B]

The Attempt at a Solution


Don't know where to begin even. Help?[/B]
 
Physics news on Phys.org
  • #2
try partial differentiation ##\Delta y = |\frac{\partial y}{\partial u}|\Delta u + |\frac{\partial y}{\partial v}|\Delta v##
 
  • #3
SJay16 said:

Homework Statement


Find the uncertainty ∆y in y as a function of the uncertainties ∆u and ∆v in u and v for the following functions:
y = 1/2(u+v)

Homework Equations

:
Error propagation formula[/B]

The Attempt at a Solution


Don't know where to begin even. Help?[/B]
Please quote the error propagation formula as you understand it.
 

1. What is the uncertainty in delta y?

The uncertainty in delta y is a measure of the range of possible values for the change in the y variable in an experiment or calculation. It reflects the potential error or variation in the measurement or calculation process.

2. How do you calculate the uncertainty in delta y?

The uncertainty in delta y can be calculated by determining the maximum and minimum values for the change in the y variable and taking the difference between them. This can be done by either performing multiple measurements or using statistical methods.

3. Why is it important to find the uncertainty in delta y?

Finding the uncertainty in delta y is important because it allows us to understand the reliability and accuracy of our measurements and calculations. It also helps to evaluate the impact of potential errors and variations on the results.

4. What factors can contribute to the uncertainty in delta y?

The uncertainty in delta y can be influenced by various factors, such as instrument precision, human error, environmental conditions, and the inherent variability of the phenomenon being measured.

5. Can the uncertainty in delta y be reduced?

Yes, the uncertainty in delta y can be reduced by improving the precision of measurements, minimizing sources of error, and increasing the sample size. However, it is impossible to completely eliminate uncertainty as it is inherent in any measurement or calculation.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
256
  • Introductory Physics Homework Help
Replies
8
Views
921
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
956
  • Introductory Physics Homework Help
Replies
8
Views
815
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
708
  • Introductory Physics Homework Help
Replies
3
Views
2K
Back
Top