The final answer for the micrometer measurement is 3% due to the precision of the instrument's gradations. While the micrometer reading is to 2 significant figures (0.35 and 0.01mm), the actual error margin is calculated as +/-(0.005+ε), where ε represents the error range for the gradations. This leads to a more accurate representation of the measurement uncertainty, which justifies the 3% final answer instead of 2.9%. The discussion emphasizes the importance of understanding significant figures in relation to measurement precision.
PREREQUISITESStudents in physics or engineering, precision measurement technicians, and anyone involved in scientific research requiring accurate measurements and error analysis.
Yes, but the marks on the micrometer will be rather more accurate than to the nearest 0.01mm. If you take a reading to the nearest 0.01mm according to the gradations, the actual error will be +/-(0.005+ε) where ε is the error range for the gradations.Orodruin said: