The discussion revolves around calculating the uncertainty in the angle θ and its implications on the actual error and percentage uncertainty. Participants are exploring the relationship between fractional error and uncertainty in the context of a specific problem involving θ.
The discussion is active, with participants providing guidance on the relationships between errors and uncertainties. Some participants are exploring multiple interpretations of the problem, particularly regarding the implications of the percentage uncertainty being constant across different values of θ.
There appears to be confusion regarding the definitions of uncertainty and error, as well as how they apply to the problem at hand. Participants are navigating through these concepts while adhering to the constraints of the homework guidelines.
The actual error in X would be rX? And rθ?haruspex said:
Yes. So what is the fractional error in theta?Janiceleong26 said:
r ?haruspex said:
Right. Can you now see why A is wrong?Janiceleong26 said:
No ..sorry..haruspex said:
No, the percentage uncertainty is 100x fractional uncertainty.Janiceleong26 said:
What's the difference between fractional uncertainty and fractional error?haruspex said:
Sorry, I didn't notice I had switched from uncertainty to error. For the purposes of this question it makes no difference.Janiceleong26 said:
Ohhhh...is it because the percentage uncertainty would be the same for all values of θ, but the uncertainty itself varies?haruspex said:
Yes.Janiceleong26 said:
Thanksharuspex said: