(a) The precision of this measurement is 17.64 mm ± 0.01 mm.
(b) he uncertainty of the measurement is 0.057%.
(c) The tolerance of the measurement is 0.02 mm.
(d) The acceptable diameter in the format, nominal value uncertainty is 17.64 mm ± 0.057%.
Measurement of a wire
A micrometer screw gauge is used in the measurement of a wire. The measuring accuracy of a micrometer screw gauge is 0.01 mm.
The precision of the measurement is 17.64 ± 0.01 mm.
Uncertainty of the measurement
The uncertainty of the measurement is calculated as follows;
uncertainty = (error/actual measurement) x 100%
uncertainty = (0.01/17.64) x 100% = 0.057%
Tolerance of the measurement
Tolerance = maximum measurement - minimum measurement
= (17.64 + 0.01)mm - (17.64 - 0.01)mm
= 0.02 mm
Acceptable diameter
0.057% of 17.64 mm = 0.01 mm
Range of uncertainty = (17.64 mm - 0.01 mm) to (17,64 mm + 0.01 mm)
= 17.63 mm to 17.65 mm
Acceptable diameter format, = 17.64 mm ± 0.057%
Learn more about uncertainty here: https://brainly.com/question/14756645
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