Uncertainty/error of a volume is greater than the normal volume

Click For Summary

Homework Help Overview

The problem involves calculating the volume of a cylinder with given dimensions and their associated uncertainties. The original poster expresses concern about the calculated uncertainty being greater than the volume itself, questioning the validity of the result.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the nature of the volume being calculated, questioning whether it refers to the internal volume, the overall volume of the cylinder, or the volume of the material of the cylinder walls. There is also a request for more details on the original poster's calculations.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the specifics of the volume calculation and the original poster's methodology. Guidance has been offered regarding the use of mathematical symbols in the forum.

Contextual Notes

The original poster is struggling to articulate their calculations and the implications of the uncertainty in their results. There is an indication of confusion regarding the interpretation of the volume and uncertainty values.

AndrewPX
Messages
3
Reaction score
0

Homework Statement


I have an empty cylinder with an external diameter of (23.0 ± 0.5) mm, an internal diameter of (22.5 ± 0.5) mm and a height of (60.0 ± 0.5) mm. I need to calculate its volume with its uncertainty/error.

Homework Equations


203900-cf7e51747a9e69c35bc9278a2dca6675.jpg


The Attempt at a Solution


I do it like this exercise:
http://www.chem.hope.edu/~polik/Chem345-2000/errorpropagation.htm
The result gives me (1070 ± 2000) mm ^ 3.
in my opinion it is not right since the error / uncertainty indicates the interval of the error and this can not be negative since there are no negative measures ...
 
Physics news on Phys.org
AndrewPX said:
I need to calculate its volume with its uncertainty/error.
What volume would that be?
-- The volume of the void inside the cylinder?
-- The overall volume occupied by the cylinder?
-- The volume of the material comprising the cylinder walls?

If you showed details of your work so far we might be able to tell what you are going for :wink:
 
the volume of the material comprising the cylinder walls. Sorry idk how to put my work..
 
AndrewPX said:
Sorry idk how to put my work..
To write math symbols in the forum, you can click the little Sigma symbol above the edit window "∑" to get access to math symbols. And there is a full LaTeX tutorial under INFO at the top of the page, in Help/How-To.
 
ohh ok thanks
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K