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Chapter 3: Q3 P (page 61)
Round each number to three significant figures:
(a) 0.21674
(b) 0.2165
(c) 0.2165003
a) 0.217
b) 0.217
c) 0.217
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Rewrite the number 3.123 56 (卤0.167 89%) in the forms (a) number (卤 absolute uncertainty) and (b) number (卤 percent relative uncertainty) with an appropriate number of digits.
You can calculate the time it will take for an object to fall from the top of a building to the ground if you know the height of the building. If the height has an uncertainty of 1.0% ,what is the uncertainty in time?
What is the true mass of water in vacuum if the apparent mass weighed in air at is ? The density of air is and the density of balance weights is . The uncertainty in the density of water in Table 2-7 is negligible in comparison to the uncertainty in the density of air.
Vernier scale. The figure below shows a scale found on instruments such as a micrometer caliper used for accurately measuring dimensions of objects. The lower scale slides along the upper scale and is used to interpolate between the markings on the upper scale. In (a), the reading (at the left-hand 0 of the lower scale) is between 1.4and 1.5on the upper scale. To find the exact reading, observe which mark on the lower scale is aligned with a mark on the upper scale. Because theon the lower scale is aligned with the upper scale, the correct reading is 1.46. Write the correct readings in (b) and (c) and indicate how many significant figures are in each reading.
Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures.
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