Question 2 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

Answered: Image /qna-images/answer/a5630054-408b-4c36-8a2f-ebb9ec0f7959.jpg

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.

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...

See similar textbooks

Similar questions

(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
(a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?
Significant Figures (a) What is the relationship between the precision and the uncertainty of a measurement? (b) What is the relationship between the accuracy and the discrepancy of a measurement?
(a) How many significant figures are in the numbers 99 and 100.? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers: significant figures or percent uncertainties?
Units and Standards What is the difference between a base unit and a derived unit? (b) What is the difference between a base quantity and a derived quantity? (c) What is the difference between a base quantity and a base unit?
A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.
A calculator displays a result as 1.365 218 0 X 107 kg. The estimated uncertainty in the result is 2%. How many digits should be included as significant when the result is written down? (a) zero (b) one (c) two (d) three (e) four
If you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. meters
A floating-point operation is a single arithmetic operation such as addition, subtraction, multiplication, division. (a) Estimate the maximum number of floating- point operations a human being could possibly perform in a lifetime. (b) How long would it take a supercomputer to perform that many floating-point operations?
A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed and what is the approximate uncertainty of this volume?
When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?