I have a problem while writing the uncertainty of datas in my lab report (portfolio).
So, here is my question:
While multiplying some data with different uncertainties, I do multiply their uncertainties too, right?
Then, if the multiplication of uncertainities has less digits after comma than that of the actual multiplication af data; should I round up some digits of the actual multiplication of data?
To make it more clear, here is an example:
Work= Force x distance
W(J)= m(kg) ±0.1 kg x g(m/sec2) ±0.1 m/sec2 x h(m) ±0.01 m
W= 47.9 kg x 9.79 m/sec2 x 3.975 m
W= 1864.040475 kg x m2/sec2= 1864.040475 Joule ±0.0001 Joule
The Attempt at a Solution
Should it be like:
W= 1864.0405 Joule ±0.0001 Joule ?