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.
Transcribed Image Text:Question Set 2.3: Uncertainty with Digital Instruments
1. 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 relative
her uncertainty.
C.
If the manufacturer's specifications are not available, determine the absolute and relative uncertainty based on the
certainty implied by the display moms
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.
unisheonu evilclay
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.
2.4 Significant Figures
and the uncerta
do uncertainty is t
1.5540.005 V
x1000
22.6
Significant figures are another way to describe the uncertainty in a
measured 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. We
know that the last decimal place is the uncertain one. Much in the same
way we did when reading a digital display, we must assume that this last
digit may have been rounded and that the true value is between 6375 and
6385 km. We'd write this in x+Ax form as 6380 ± 5 km.
We can generalize this by saying that for a measurement expressed using
significant 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 decimal
place is the hundredths, so this number and has an implied uncertainty of
0.005 x 1023. In x±4x form, we'd write 6.02±0.005 x 1023.
18 | Page
101
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON