ive looked into this more, and if R was already the squareroot, and I know that squaring it would have to give 0.0005, that would mean R x R = R^2, which addes 2 values to give 0.0005, which would be 0.00025 + 0.00025,
so would the answer to my very original question be 0.00025?? (A distance...
when i said "Therefore, the relative uncertainty of R^2 is 0.002 + 0.002 = 0.004 (or 0.4%)" i meant to say, the relative uncertainty of R^2 is 0.002/4 + 0.002/4 = 0.0005 or 0.05%.
one more piece of info I believe is correct
If say, I had to calculate the relative uncertainty of R^2, then I could write R^2 as R x R, and when multiplying or dividing, I realize I have to add the relative uncertainties, Therefore, the relative uncertainty of R^2 is 0.002 + 0.002 = 0.004...
Homework Statement
A distance R is measured to be 4.000±0.002 m
What is the relative uncertainty in the square root of R?
Homework Equations
Relative uncertainty is the ratio of the absolute uncertainty of a measurement to the best estimate. It expresses the relative size of the...