University:
Amherst College
Course:
MATH 105 | Calculus with Algebra
Academic year:

2021
Views:

458

Pages:

2
Author:

Enrique Hendrix

Coordinate Algebra Unit 1 – Relationships Between Quantities Classwork Name: ________________________________________________ Date: _______________________ Dimensional Analysis Worksheet Setup and solve the following using dimensional analysis. 1 yr = 365 days 1 day = 24 hours 1 hr = 60 minutes 1 min = 60 sec Steps: 1. 2. 3. 4. Common Conversion Factors 1 mi = 5280 ft 454 g = 1 lb 1 ft = 12 in 1 lb = 16 oz 1 in = 2.54 cm 1 kg = 2.2 lbs 3 ft = 1 yd 946 mL = 1 qt Given quantity w/its unit Set up conversion factor Divide units – only desired unit should be left Solve the problem. 1. 5,400 inches to miles 0.0852 mile 2. 16 weeks to hours 2688 hours 3. 54 yards to cm 4937.76 centimeters 4. 19 inches to feet 1.58333 foot 5. 25 mi/hr to ft/sec 2200 feet per minute 6. 36 cm/sec to feet/min 70.8661 feet per minute 1 gal = 3.79 L 264.2 gal = 1 m3 1 gal = 128 fluid oz 4 qt = 1 gal 7. How many miles will a person run during a 10 kilometer race? 6.2 miles 8. The moon is 250,000 miles away. How many feet is it from earth? 1,320,000,000 feet 9. A family pool holds 10,000 gallons of water. How many cubic meters is this? 37.85 m3 10. How many inches are there in a football field (100 yds)? 3600 inches 11. How many days are there in 240,000 seconds? 2.778 days 12. Every month, a group of 46 students write essays in a class. Each student writes 2 essays, and each essay contains an average of 1000 words. How many words do the students write every month? 92,000 words

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