Halliday Resnick Krane Example Problem: Uncertainty on Weighing Machine

Click For Summary
The discussion centers on the interpretation of uncertainty in weight measurements from a digital scale. Participants clarify that the scale reading of 119 lb indicates a range of possible weights between 118.5 lb and 119.5 lb, leading to an uncertainty of ±0.5 lb. There is debate over whether the notation should include endpoints in the inequality, with some arguing for a strict interpretation of continuous values. The conversation also touches on differences in uncertainty calculations between digital and analog scales, emphasizing the importance of understanding measurement precision. Overall, the thread highlights the complexities of quantifying uncertainty in weight measurements.
  • #31
vcsharp2003 said:
So, which type of error is included when absolute uncertainty is specified for a measuring device?
Up until now, we have been focusing on a situation where the only source of error was our ability to read the result from the gauge. Alternately, we have been focusing on a situation where the granularity of the lines on the gauge is our only hint as to the accuracy of the device.

Now you ask about a situation where someone has told us the uncertainty of the device. That uncertainty could include error from various sources. Systematic error, random error, quantization error, whatever.

If all we are given is an uncertainty range (for instance a maximum error bar), we do not know what sort of errors to expect, what kind of error distribution to expect or how the errors might correlate between different measurements.
 

Similar threads

Replies
12
Views
28K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 17 ·
Replies
17
Views
6K
  • · Replies 4 ·
Replies
4
Views
8K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 5 ·
Replies
5
Views
4K