University:
Carleton College
Course:
EDUC 110 | Introduction to Educational Studies
Academic year:

2020
Views:

329

Pages:

2
Author:

StellarSymphony

Dimensional Analysis Use the conversion factors from the unit conversions worksheet to solve the following dimensional analysis problems. How many seconds in 1 1 year? 1 yr * 365 days/1 yr * 24 hrs/1 day * 60 min/1 hr * 60 sec/1 min = 3.15 x 10^7 sec How many cm in 0.5 mile? 0.5 mi * 1 km/0.62 mi * 1000 m/1 km * 100 cm/1 m = 80645 cm Fuel cost $3.79/gallon. What is the price per liter? $3.79/1 gal * 1 gal/3.785 L = $0.89/L If a car is traveling 45 mph, how fast are they going in m/s? 45 miles/1 hr * 1 km/0.62 mi * 1000 m/1 km * 1 hr/60 min * 1 min/60 sec = 20.2 m/s A person should consume 2000 kcal per day. If a piece of candy is 8.8 kcal, how many pieces of candy could a person eat per day? 2000 kcal/1 day * 1 piece/8.8 kcal = 227.3 pieces/day 6. A large fish tank has a volume of 50 L. What is the volume of the fish tank in the units of in³? 50 L * 1000 mL/1 L * (1 cm³ / 1 mL) * (2.54 in/1 cm)³ = 3051.2 in³ 7. Gas is $3.79/gallon. If a car averages 27 miles/gallon, how much will it cost the person to drive 8,000 miles across the country? 8000 miles * 1 gal/27 miles * $3.79/1 gal = $1,122.96 8. If a person is traveling 3.2 m/s, how long will it take them to go 2 miles? 2 mi * 1 km/0.62 mi * 1000 m/1 km * 1 sec/3.2 m = 1008 s Percent Error 9. A race committee is mapping out a 26.2 mile race. The course that they designed is actually 26.34 miles. What is their percent error? |26.2 - 26.34| / 26.2 * 100 = 0.534% 10. Lab group two records the mass of their product to be 6.05 grams after completing their lab. The teacher tells them the mass of their product should have been 6.40. What is their percent error? |6.40 - 6.05| / 6.40 * 100 = 5.47%

Dimensional Analysis Worksheet 2 Key

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