Ok, my Physics professor gave us this to do uncertainty propagation with these equations. Can some please show me some examples on each of these so I know I'm doing them right?
Uncertainty Propagation
Since raw data includes uncertainty, all calculations include uncertainty. You are required to propagate uncertainty in your calculations unless specified otherwise in the lab instructions or by your instructor. Use the following method for uncertainty propagation:
1) Find the minimum value, maximum value, and best estimate for all raw data.
2) Perform one mathematical operation at a time.
3) If you are adding, then do the following:
a. c = a + b
b. cmax = amax + bmax
c. cmin = amin + bmin
4) If you are subtracting, then do the following:
a. c = a – b
b. cmax = amax – bmin
c. cmin = amin – bmax
5) If you are multiplying, then do the following:
a. c = a*b
b. cmax = amax*bmax
c. cmin = amin*bmin
6) If you are dividing, then do the following:
a. c = a/b
b. cmax = amax/bmin
c. cmin = amin/bmax
7) If you are using exponents (including square root), then do the following:
a. c = ab
b. cmax = amaxb_max
c. cmin = amin*bmin
1 answer
if so, the cmax=amax^bmax
and cmin=amin^bmin
others ok.