Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 3ASA
What is the difference between measurement accuracy and precision? Explain the general dependence of these properties on the various types of errors.
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Question 2: Complete the following Error Analysis
The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter scale.
W
The measurements give the values length 83 mm, width 68 mm and height 23 mm. The uncertainty in each measurement is ±1 mm.
Calculate,
1. The fractional uncertainty in the measurement of VOLUME is
2. Absolute uncertainty in the measurement of VOLUME in (mm³ ) is
2.) A single reading taken with a meter stick for the length of a cylinder is 5.5 cm. What is the
prsable percent error in the reading?
3.) The following readings were taken with a meter stick for the length of a cylinder: 5.5 cm, 5.3
cm, 5.4 cm, 5.5 cm and 5.6 cm. Calculate the standard deviation of the mean, the stand error and
the probable percent error.
4.) How many significant figures should be given in reporting the length of the cylinder in question
3?
5.) If the radius of the cylinder in question 2 is 2.4 ± 0.2 cm and its mass is 32.6 ± 0.5 gm, what
will be the probable percent error in the density of the cylinder? What will be the probable error in
density? How many significant figures should be given in reporting the density?
Conclusions??
02
6) (figure3)
6a)Befer to Figure 3. Given a track length of 90 cm and a height difference of 18 cm, what is sin 6
02
01
Fig. 2
Z)(figure 2)
plane (see Figure 2). Attach the diagram in question#8 below. What would be the acceleration
given…
A marathon runner completes a 42.188-km course in 2 h, 35 min, and 39 s. There is an uncertainty of 28 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (Give all answers to the appropriate number of significant figures. Note that uncertainties should be reported to one significant figure and percent uncertainties should be reported to two significant figures.)
(a) Calculate the percent uncertainty in the distance.
_________%
(b) Calculate the percent uncertainty in the elapsed time.
__________%
Chapter 2 Solutions
Physics Laboratory Experiments
Ch. 2 - Do experimental measurements give the true value...Ch. 2 - Distinguish between random (statistical) error and...Ch. 2 - What is the difference between measurement...Ch. 2 - What determines how many figures are significant...Ch. 2 - In expressing experimental error or uncertainty,...Ch. 2 - How could the function y = 3t2 + 4 be plotted on a...Ch. 2 - Read the measurements on the rulers in Fig. 2.9,...Ch. 2 - Were the measurements of the block in part (b) of...Ch. 2 - Referring to the dart analogy in Fig. 2.3, draw a...Ch. 2 - Prob. 4Q
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- Given that P = ". Find the maximum percentage error in calculating P 2/m if the percentage error in measuring m and n is 2% and 3%, respectively.arrow_forwardDetermine the absolute uncertainty for the calculated value in the following scenarios. Express as (computed result) ± (absolute uncertainty) (units). You measure the volume of a stainless steel sphere by placing it into a100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL ofwater initially. After the sphere settles, the graduated cylinder now reads22 mL. What is the volume with uncertainty? Please use the formula I posted ! Thank you!arrow_forwardIf the number of significant figures is 6, what is the value of the pre-specified Error(?s) Select one: O a 0.000005% O b. 0.0005% O c. 0.005% ০ d 0.00005%arrow_forward
- An equation predicts the relation between x and y as T2 = k. L The measurement between T and L are given as 3 2.6 5 7.2 8 18.0 Find the slope k of the best fitted line of a plot between T2 and L from the following data. All numbers have no units. Answer to two decimal places. Note that the fitted line should pass through the origin,.arrow_forwardWhat is “Random and Systematic Error”? Give an example for each one. What is “Standard deviation” and its formula? What data percent of XAverage ± σ, or XAverage ± 2σ, or XAverage ± 3σ might be the most reliable one?arrow_forward(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?arrow_forward
- What is the percent error in the accuracy in the measured volume of the cube? Use the calculated value as the expected value. Round your answer to 2 digits.arrow_forwardModern instruments usually have digital readouts; the reading in the rightmost digit will sometimes fluctuate up and down among several values. What type of error is this? Explain its effect on a large data set.arrow_forwardWhich value of H do you consider to be least accurate? Give reasons for your answer and explain how the accuracy could have been improved.arrow_forward
- The following data sets are the length measurements of a raw material. The actual length of the part is supposed to be 3.2 mm. Which sets) do you prefer to the others? Briefly explain.HINT: Check the accuracy and the precision of each data set.Data Set 1: 2.91, 3.00, 3.50, 2.85, 3.22, 3.15, 3.49, 2.90, 3.27, 3.15Data Set I1: 3.13, 3.22, 3.19, 4.17, 3.21, 2.62, 3.25, 2.80, 2.40, 3.81Data Set I: 3.24. 3.18. 3.22. 3.20. 3.17, 3.23, 3.19, 3.20, 3.16, 3.24Data Set IV: 2.90. 3.00. 2.92. 2.95. 2.93. 2.97. 2.94. 2.99. 2.96, 3.00 Please donot provide solution in image format and it should be in step by step format and provide fast solutionarrow_forwardThe measurement error is defined as AX=X-Xo.where Xo is the true value of a physical quantity. X is the measured value of the physical quantity, AX is also known as "absolute error" What is the correct understanding to absolute error? Select one: O a An absolute error indicates the absolute value of the error. Ob Absolute error is the difference between the measured value and the true value. O e Absolute error indicates that the error is always positive. Od. Absolute eror indicates that the magnitude of an error is certain.arrow_forwardA person's blood pressure is measured to be: 115 ± 7 mm Hg. What is its percent uncertainty? (Express your answer to the correct number of significant figures and proper units. Use unrounded values in your calculations.)arrow_forward
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