The mass of a test specimen of metal alloy is measured to be m = 674.4 g. The procedure has a standard uncertainty of 1.0 g. The volume of the specimen is measured to be V = 261.1 mL with an estimated standard uncertainty of 0.1 mL. Estimate the density of the specimen and its uncertainty. Determine the relative uncertainty in the calculated volume of a cylinder if its height h can be measured with a standard uncertainty to within 2% and its radius R can be measured with a standard uncertainty within 1%.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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a) The mass of a test specimen of metal alloy is measured to be m = 674.4 g. The procedure has a standard uncertainty of 1.0 g.
The volume of the specimen is measured to be V = 261.1 mL with an estimated standard uncertainty of 0.1 mL. Estimate the
density of the specimen and its uncertainty.
b) Determine the relative uncertainty in the calculated volume of a cylinder if its height h can be measured with a standard
uncertainty to within 2% and its radius R can be measured with a standard uncertainty within 1%.
Transcribed Image Text:a) The mass of a test specimen of metal alloy is measured to be m = 674.4 g. The procedure has a standard uncertainty of 1.0 g. The volume of the specimen is measured to be V = 261.1 mL with an estimated standard uncertainty of 0.1 mL. Estimate the density of the specimen and its uncertainty. b) Determine the relative uncertainty in the calculated volume of a cylinder if its height h can be measured with a standard uncertainty to within 2% and its radius R can be measured with a standard uncertainty within 1%.
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