Uncertainty Worksheet

The first length measured in a laboratory experiment is 2.5 ± 0.1 m and the second length is 3.4 ± 0.1 m.a. What is the sum of the lengths?b. What is the difference in the lengths?c. What is the percentage uncertainty in each a and b?

3. Absolute, fractional, and percentage uncertainties a. What is the absolute uncertainty for the following measurements? 5.8 cm, 5.6 cm, 5.7 cm, 5.4 cm, 5.4 cm, 5.6 cm b. Determine the fractional uncertainty in part a. c. Determine the percentage uncertainty in part a.

State the number of significant digits and the implied precision of the given number. The number 1.928×10^4 has........ significant digits (type a whole number) B. What is the implied precision of the number 1.928×10^4 s? A. The number is precise to the nearest hundred seconds B. The number is precise to the nearest second. C. The number is precise to the nearest ten seconds

e2f_h. g= 4 e =7.83±0.04 f =0.204±0.007. h=14.14+0.05 and i=3.99±0.03- Given the equation where What is the absolute uncertainty in g? Select one: 1.35+0.02 a. O b. 1.4±0.1 Oc. 1.4+0.2 O d. 1.35±0.01

P 1.4 Perform the following addition and subtraction problems with the following measured quantities. Assume ambiguous, place-holding zeros do not indicate a degree of precision.a. 8.45 g + 12 g + 459.01 g = 479  b. 323.98 g – 221.98 g =  gc. 34.986 mL – 21 mL =  mLd. 34,000 kg + 567 kg =  kg =  ge. 6.04 m + 91 cm + 45 mm =  m =  cmf. 6.04 m + 91 cm + 51 mm =  m =  mmP 1.6 Perform the following multiplication problems, reporting your answer with the correct number of significant figures.(a) (56.03 cm) x (1.000 cm) x (3518 cm) =  cm3(b) (56.03 cm) x (1.00 cm) x (3518 cm) =  cm3(c) (56.03 cm) x (1.0 cm) x (3518 cm) =  cm3P 1.7 Perform the following multiplication and division problems with the following measured quantities. You cannot determine the number of significant figures in a number with ambiguous zeros and so there is no one correct answer for problems with ambiguous zeros.a. (7.34 cm) x (0.0045 cm) x (124 cm) =  cm3b.     45.9 g 1.4 mL =   g / mL   c.     145 mg 0.01 cm3…

1. Relate the topic on uncertainty in derived quantities on estimation of time as you go to school everyday to avoid being late from class or the habitual tardiness in your class or any event in your life. Cite techniques to apply uncertainty in derived quantities 2. A radius of a solid sphere is measured to be (6.50 ± 0.20) cm. Determine the volume of the sphere with its uncertainty. 3. A car accelerates uniformly from rest and travels a distance of (100 ± 1) if the acceleration of thr car is (6.5 ± 0.5) m/s2 what would be its final velocity together with its associated uncertainty, at the end of the distance covered?

A. Volume Measurement Problem: You have 3 empty containers. One container holds 3L, a second holds 5L and a third, holds 9L. How can you use these containers to measure exactly 7L of water? The steps in the problem have been "framed out". Follow the steps and write what you did to get 7L. Frame on Volume Measurement Step 1 2 3 5 3-L container 5-L container 9-L container Total number of Liters To get exactly 7liters from 3 containers holding 3L, 5L and 9L, I did these steps: First, Second, Third, Fourth, Finally, By following these steps, I

please solve question 2, general physics

C. leas t del Niu 3. Three students make measurements (in m) of the length of a rod using a meter stick. Each student's measurements are tabulated in the table below. Using your calculator in statistic mode calculate the mean L, standard deviation S and uncertainty u of the measurements. Student L1 L3 L2 1.4711 L4 1.4715 SD u Student 1 1.4717 1.4722 1,4716 t.4754 1.4710 1.4753 1.4759 1.4756 1.4749 Student 2 Student 3 1.4719 1.4723 1.4705 1.4719 Note that the actual length of the rod is determined by a laser measurement technique to be 1.4715 m (this should be considered the standard value). a) State how one determines the accuracy of a measurement. Apply your idea to the measurements of the three students above and state which student has the most accurate measurement.

min where Given the equation p= m =13.75±0.06 and n =0.0787+0.0007. What is the absolute uncertainty in P? Select one: O a. 285±5 O b. 285±8 O c. 285+7 O d. 285±6

1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm  h = 20.19 ± 0.01 mm  w = 0.75 ± .02 mHow should the volume of the box be reported (central value ± uncertainty) incm3? Show solution.2. If the accepted value of the volume of the box in the previous question is 1300 cm3, is the measurement acceptable? Explain.

1. What is the expression for the uncertainty in finding the fractional value Y =(mgL^3)/(4wdh^3)assuming an uncertainty δm in m, uncertainty δL in L, uncertainty δw in w, uncertaintyδh in h, and uncertainty δd in d . Refer to the section on uncertainty calculations formore details. 4. Using equationY =(mgL^3)/(4wdh^3)show that the SI units for Y is Pa.

Reduce the following ratio to its lowest terms and to an equivalent ratio with 1 as the smallest term. 13 : 5/18 : 18 2.2 : 7.9 : 65/4 Determine the following ratios in simplest form: a. 25 minutes to 4 hours and 50 minutes b. 500 m to 3.1 km c. 600 g to 10.4 kg   What is the ratio of 12 minutes to 12 hours, reduced to its lowest terms?   Can you please answer all. Thanks

The measurement of a physical quantity is 6.54 kg. What is the percent of uncertainty? * a.) 0.15 %.   b.)0.17 %.   c.) 0.23 %   d.) 0.28 %.

Two decimals places for physics

The table data: 15 1.75 13 1.63 11 1.5 9 1.35 7 1.19 5 1.01 3 0.78 A. Graph these data B. Describe the graph C. Using the data, calculate 1/2t^2 and complete table 2 below

Assessment Multiple Choices. Choose the letter of the correct answer and write it on a separate sheet of paper. 1. It refers to the closeness of value to its true value a. асcuracy b. precision c. both a and b d. fitting line 2. Find the equation of the line that fits the data with least error. 46.00 570.55 38.01 505.77 48.44 649.60 27.77 378.69 26.35 327.67 18.87 264.76 33.97 464.60 16.06 167.38 7.71 132.09 3.93 76.87 a. y= 12.72x + 12.72 b. у- 1.72х -1.72 c. y- 12.72x - 12.7 d. y- 2.72x + 2.72 3. Mr. Arbolado harvested his luffa (patola) in the school garden and he notice it's too long, so he wants to know how long it is. He measures the huffa (patola) three times. What should be the reported length of the luffa (patola)? First measurement 0.59 t 0.005 m Second measurement 0,60 0.005 m Third measurement 0, 61 0.005 m a. 0,62 t 0.015 m b. 3.1 t 0.015 m c. 4.24 0.015 m d. 0.6 t 0.015 m

The length of a table is measured as 99 ±1 cm, 90 t± 0.06 cm and 96 ±0.1 cm by students A, B and C. a. Which measurement has the highest precision? Why? b. If the actual length of the table is 95 cm, which measurement is the most accurate? Why? C. Measure the mass shown in the instrument and give the answer with its uncertainty (due to the instrument). 900 100 grams 800 200 T00 300 600 400 500

1. A pyramid has a square base of side x and height h. The volume V of the pyramid is given by the expression: x²h V = 3 If V is measured the relative uncertainty of V is 5% and 3%, what is the percentage uncertainty of x? Remember to include the % symbol with your answer. 2-A rock is thrown to the top of a mountain of height h with an initial speed 42.0 m /s and an angle 0 = 60.0 ° with the horizontal. The stone falls at point A, 5.50 s after launch. Determine (a) the height h of the mountain, (51.8) (b) the resultant speed of the stone just before the impact on A and (27.4) (c) the maximum height H reached above the ground. (67.34) H 3- A race car driver travelling at 15 m/s accelerates at a constant value for 10 s. She is now driving at a speed of 35 m/s . What was her acceleration? Give your answer in m/s² to one significant figure. (2 m/s?)

Given the equation A =%- where b =17.4+0.1s and e=12.7±0.5s What is the absolute uncertainty in A? Select one: O a. 11.2+0.3s O b. 11.2±0.2 O c. 11.2+0.6 O d. 11.2±0.5s

Post-Lab Homework Problems. 1. A student is using a track photogate to determine the time it takes her to run 50 meters. She records the following times: Trial Time (seconds) 1 5.420 5.464 3 5.728 4 5.496 5 5.644 6. 5.794 7 5.540 The data she collects has a mean of 5.583714 seconds, with an absolute uncertainty computed to be 0.141074 seconds. Report her 50-meter time as a confidence interval (a) using the mean and the absolute uncertainty given above. Another student measures his 200-meter run time (b) to be 20.7 + 0.3 seconds. Report the relative uncertainty of each student and identify which has the more precise run time.

Based on the following Figure, the floor cavity ratio, FCR is. 1m section 3 m 0.5m 16 m 12 m plan 20 m O a. 15 O b. 3.75 O c. Other answer O d. 1.25 O e. 0.625