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A measurement of the circumference of a disk has an
Chapter 3, Problem 2E(choose chapter or problem)
A measurement of the circumference of a disk has an uncertainty of 1.5 mm. How many measurements must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm?
Image Text Transcription: A measurement of the circumference of a disk has an uncertainty of 1.5 mm. How many measurements must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm?
Questions & Answers
QUESTION:
A measurement of the circumference of a disk has an uncertainty of 1.5 mm. How many measurements must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm?
Image Text Transcription: A measurement of the circumference of a disk has an uncertainty of 1.5 mm. How many measurements must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm?
ANSWER:Solution 2E
Step1 of 2:
We have A disk and let X be the measurement of the circumference of a disk has an uncertainty of 1.5 mm. Let Y be the measurement of the diameter of a disk has an uncertainty of 0.5 mm.
That is .
We need to find How many measurements must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm.
Step2 of 2:
Consider
The circumference of disk is given by C =
Where
C = circumference