An item is to be constructed by laying three components in a row. The length of each component will be measured.
a. If the uncertainty in measuring the length of each component is 1.2 mm, what is the uncertainty in the combined length of the three components?
b. If it is desired to estimate the length of the item with an uncertainty of 0.5 mm, what must be the uncertainty in the measurement of each individual component? Assume the uncertainties in the three measurements are the same.
(a) Let X, Y, and Z represent the measured lengths of the components, and let T = X + Y + Z be the combined length. Then 
=1.2.
= 2.1mm
(b) Let ? be the required uncertainty in X and Y. Then 
= 0.05. Solving for ? yields ?= 0.029 mm.
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