Using Conversion Factors

  • November 2019
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Chapter 1 Measurements Problem Solving fsUsing Conversion Factors

LecturePLUS Timberlake

1

Initial and Final Units 1. A person has a height of 2.0 meters. What is that height in inches? Initial unit = m

Final unit = _______

2) Blood has a density of 0.05 g/mL. If a person lost 0.30 pints of blood at 18°C, how many ounces of blood would that be? Initial = pints

Final unit = _______ LecturePLUS Timberlake

2

How many minutes are in 2.5 hours? Initial unit 2.5 hr Conversion factor 2.5 hr x 60 min 1 hr cancel

Final unit = 150 min

Answer (2 SF) LecturePLUS Timberlake

3

Learning Check A rattlesnake is 2.44 m long. How long is the snake in cm? 1) 2440 cm 2) 244 cm 3) 24.4 cm

LecturePLUS Timberlake

4

Solution A rattlesnake is 2.44 m long. How long is the snake in cm? 2) 244 cm 2.44 m x 100 cm 1m

= 244 cm

LecturePLUS Timberlake

5

Learning Check How many seconds are in 1.4 days? Unit plan: days

hr

1.4 days x 24 hr x 1 day

min

seconds

??

LecturePLUS Timberlake

6

Solution CF2 Unit plan: days

hr

min

seconds

2 SF Exact 1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min = 1.2 x 105 sec LecturePLUS Timberlake

7

Unit Check What is wrong with the following setup? 1.4 day

x 1 day 24 hr

x

60 min 1 hr

LecturePLUS Timberlake

x 60 sec 1 min

8

Unit Check

1.4 day

x 1 day 24 hr

Units = day2/hr2

x

60 min 1 hr

x 60 sec 1 min

Not the final unit needed

LecturePLUS Timberlake

9

Learning Check An adult human has 4650 mL of blood. How many gallons of blood is that? Unit plan:

mL

qt

Equalities:

1 quart = 946 mL 1 gallon = 4 quarts

gallon

Your Setup: LecturePLUS Timberlake

10

Solution Unit plan: mL Setup: 4650 mL x 3 SF

1 qt 946 mL 3 SF

qt

gallon

x 1 gal 4 qt exact

= 1.23 gal

LecturePLUS Timberlake

3 SF

11

Steps to Problem Solving        

Read problem Identify data Write down a unit plan from the initial unit to the desired unit Select conversion factors Change initial unit to desired unit Cancel units and check Do math on calculator Give an answer using significant figures LecturePLUS Timberlake

12

Learning Check If the ski pole is 3.0 feet in length, how long is the ski pole in mm?

LecturePLUS Timberlake

13

Solution 3.0 ft x 12 in 1 ft

x 2.54 cm x 10 mm = 1 in. 1 cm

LecturePLUS Timberlake

14

Learning Check If your pace on a treadmill is 65 meters per minute, how many seconds will it take for you to walk a distance of 8450 feet?

LecturePLUS Timberlake

15

Solution Initial 8450 ft

x 12 in. 1 ft

x 1 min 65 m

x 2.54 cm x 1 m 1 in.

100 cm

x 60 sec = 2400 sec 1 min final (2 SF) LecturePLUS Timberlake

16

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