Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, and
a. U = XY2
b. U = X2 + Y2
c. U = (X + Y2)/2
Step 1 of 4:
Here,it is given that X = 10.0 ± 0.5 and Y = 5.0 ± 0.1.Also U is defined in terms of X and Y.
Using the given values of X and Y we have to find the values of U with uncertainty.
Step 2 of 4:
Here,U is expressed as U=X.
We have X=10 ,Y=5 and =0.5,=0.1
So U becomes,
Now we have to find the uncertainty.
The uncertainty is given by,
First we have to find and .
is given by,
is given by,
Thus, uncertainty in U is 16.0078.
Textbook: Statistics for Engineers and Scientists
Author: William Navidi
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