2. Below is the set of length measurements: Find: a) The average (mean) length. 35.1, 35.3, 34.8, 34.7, 35.0 cm b) The standard deviation in length.
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- 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 seconds1. The average distance between Earth and the Sun is 1.5 × 108 km. (a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. (b) What is this speed in miles per hour?1. A car speedometer has a 6% uncertainty. What is the range of possible speeds (in km/h) when it reads 80 km/h? km/h (lowest) km/h (highest) 2. Convert this to miles per hour. mi/h (lowest) mi/h (highest)
- Which of the following pairs of measured numbers have the same uncertainty or error in both numbers? (mark all correct responses) Choose all that apply. a) 3.45 x 10-3 and 5.400 x 10-2 b) 4.6 x 105 and 2.9 x 106 c) 3.305 x 107 and 7.15 x 105 d) 4.8 x 10-4 and 0.34501 e) 45,700 and 4.9 x 1041. Multiplication or division: keep the same number of significant figures in the product or quotient as is in the least precise factor. Examples: 3.1 * 25.6=79.360000... = 79 6.7/981.0=0.0068297655... = 0.0068 keep only 2 significant digits 2. Powers or roots: keep the same number of significant figures as in the original number. Example: Sqrt(38) 6.164414... keep only 2 significant digits = 6.2 (11.6)² = 134.5600000... = 135 Exercises 3. Addition or subtraction: Round off, to the number of decimal places determined by the number with the least number of places beyond the decimal point. Example: 31.5+24.61 +3.28+1.19 +0.762 +0.003 = 61.345 1. 3.9 * 78.9= = 61.3 (correct result) 2. 32.01 +96.321 +36.98 +0.00023 +28.9= 3. 26.9/98 = 4. 421 0.003 =Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m b. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd 3. (Practice) Determine the final units of the following expression: 9.8m/s2 ×100cm/1m×1in/2.54cm×1ft/12in 4. (Practice) a. Determine the conversion factors that can be used to convert miles per gallon (mpg = mi/gal) to kilometers per liter (km/liter), given that 1 liter = 0.22 gallons and 1 kilometer = 0.6214 miles. b. Using the conversion factors you determined in Exercise 4a, convert 25 mpg into km/liter. 5. (Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per…
- a. 2πR2+2πRh2πR2+2πRh b. 2πR2+2πh2πR2+2πh c. πR2hπR2h d. πD2+πDhπD2+πDh e. 2πR+2πRh10 mL 9 24 mL 8 mL 7 Measuring Тool 25 mL 7 mL Volume, mass and/or length measurement (with units) Measuring Тol 8 cm 9 cm Volume, mass and/or length measurement (with units) Page 13 of 143. Perform the following calculations and report your answer to the correct number of significant figures. c. 1.0042 +0.00621 d. (9.187 x 0.182) 3.1