What is the percentage uncertainty in V when L1-L2 is 30?

Click For Summary

Homework Help Overview

The discussion revolves around calculating the percentage uncertainty in a variable V, which is defined in relation to the difference between two lengths, L1 and L2. The problem specifies uncertainties in the measurements of L1 and L2.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the percentage uncertainty by summing the uncertainties of L1 and L2, then applying this to the formula for V. Some participants affirm the correctness of this approach, while others raise questions about the representation of the difference L1 - L2.

Discussion Status

The discussion includes affirmations of the original poster's method, but also highlights a lack of consensus regarding the representation of the uncertainty in the difference. Participants are exploring different interpretations of the problem.

Contextual Notes

There is a mention of the uncertainties being added linearly, and a question about why the difference is not expressed with an additional decimal place, indicating a potential area of confusion or assumption regarding significant figures.

Rohan1997
Messages
27
Reaction score
0

Homework Statement


My homework question says: the uncertainty in length 1 is +/- 0.1 and in length 2 is +/- 0.1 : calculate the percentage uncertainty in V where V

L1-L2 is 30

Homework Equations



V= (1/(L1-L2))^0.5 where L is the length[/B]

The Attempt at a Solution



So what I did was add the two uncertainties to get +/- 0.2
I then worked out percentage uncertainty by doing 0.2/30 *100%

and then I multiplied my answer by 0.5 since it is being square rooted.

Is this correct or have I made a mistake somewhere in my method?
 
Physics news on Phys.org
If you have learned to add uncertainties linearly, then: yes (correct) and no (no mistake) :smile:
 
BvU said:
If you have learned to add uncertainties linearly, then: yes (correct) and no (no mistake) :smile:
thanks :)
 
Your welcome, but mind you: it's an opinion: there's no guarantee

And: If the uncertainty in L1 - L2 is 0.2, why isn't this difference written as 30.0 ?
 
BvU said:
Your welcome, but mind you: it's an opinion: there's no guarantee

And: If the uncertainty in L1 - L2 is 0.2, why isn't this difference written as 30.0 ?
don't know what your talking about sorry
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
8K
  • · Replies 7 ·
Replies
7
Views
8K
Replies
9
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K