Question 1 Question Set 2.3: Uncertainty with Digital Instruments1. The reading on a digital stopwatch is 0.76 seconds.If the manufacturer's specifications state a maximum error of 1%, determine the absolute and relative uncertainty.b. If the manufacturer's specifications state that the maximum error is 0.025 seconds, determine the absolute and relativeher uncertainty.C.If the manufacturer's specifications are not available, determine the absolute and relative uncertainty based on thecertainty implied by the display momsd. If we assume the person using the stopwatch adds an uncertainty of 0.25 seconds due to reaction time, determine theabsolute and relative uncertainty due to reaction time.unisheonu evilclay2. The analog gauge at right measures the rate of engine rotation in rotations per minute (rpm)and the digital display shows fuel economy in miles per gallon (mpg). Express each reading inx+Ax form.2.4 Significant Figuresand the uncertado uncertainty is t1.5540.005 Vx100022.6Significant figures are another way to describe the uncertainty in ameasured value. We will not review the rules for significant figures here,but let's look how significant figures imply uncertainty. For example,consider the measured value for the mass of the Earth: 6380 km. Weknow that the last decimal place is the uncertain one. Much in the sameway we did when reading a digital display, we must assume that this lastdigit may have been rounded and that the true value is between 6375 and6385 km. We'd write this in x+Ax form as 6380 ± 5 km.We can generalize this by saying that for a measurement expressed usingsignificant figures, the uncertainty is half of the last decimal place.Here's another example. In chemistry, we use Avogadro's number:6.02 x 1023. This number has three significant figures. The last decimalplace is the hundredths, so this number and has an implied uncertainty of0.005 x 1023. In x±4x form, we'd write 6.02±0.005 x 1023.18 | Page101

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Question Set 2.3: Uncertainty with Digital Instruments 1. The reading on a digital stopwatch is 0.76 seconds. a. If the manufacturer's specifications state a maximum error of 1%, determine the absolute and relative uncertainty. b. If the manufacturer's specifications state that the maximum error is 0.025 seconds, determine the absolute and relative uncertainty. c. If the manufacturer's specifications are not available, determine the absolute and relative uncertainty based on the certainty implied by the display d. If we assume the person using the stopwatch adds an uncertainty of 0.25 seconds due to reaction-time, determine the absolute and relative uncertainty due to reaction time. 2. The analog gauge at right measures the rate of engine rotation in rotations per minute (rpm) and the digital display shows fuel economy in miles per gallon (mpg). Express each reading in x+Ax form. #1000