Dimensional Analysis Project (1)

Dimensional Analysis Project Purpose: Measurement is the most common use of numbers in our everyday lives. In your assigned module readings, you have seen a variety of units in English system, more commonly used in the United States, and the Metric system used by the rest of the world. When gathering information, it is often necessary to convert between units in order to interpret the information. The purpose of this assignment is to practice this skill by planning a road trip. Assignment Goal : Convert units for physical quantities measuring length, weight, capacity, currency, and temperature. Instructions: For this project, you are to plan a hypothetical road trip. The trip should be within the continental United States; a destination within 500 miles that you can drive to from your current location. You must show all work and demonstrate the dimensional analysis in order to receive full credit . Part A - Questions 1-4 ● The Drive The Drive ● Starting city and state and trip destination city and state: Cadillac, Michigan to Sandusky, Ohio ● Find the round-trip distance in miles: Round trip 624 miles ● What resource did you use to determine trip distance? Google Maps ● Convert the round-trip distance from miles to kilometers. Round to the nearest kilometer. (You must show work for full credit) 624 ?𝑖?𝑒? ∗ 1.60934?? 1 ?𝑖?𝑒 = 1, 004. 23?? ● What is the gas mileage of your car in miles per gallon? How do you know this? 21mpg I looked it up on Kelly Bluebook ● How many gallons of gas will you need for the trip? (You must show work for full credit) 624?𝑖?𝑒? ÷ 21??𝑔 = 29. 71𝑔?? ≈ 30𝑔?? ● Using the national average price per gallon of gas, calculate how much money you will need to spend on gas for the trip. (For current gas prices, use AAA Gas Prices ) (You must show work for full credit) $3. 67/𝑔?? ∗ 30 𝑔?? = $110. 10 ● Convert the total number of gallons of gas to liters of gas. Round to the nearest liter. (You must show work for full credit) 30𝑔?? ∗ 3.78541𝐿 1𝑔?? = 113. 562𝐿

For parts (i) & (j), assume that your average speed is 40 mph. This average takes into consideration city and highway speeds. ● Convert the average speed from miles per hour to kilometers per hour. (You must show work for full credit) 40??ℎ ∗ 1.609??ℎ 1??ℎ = 64. 374??ℎ ● How long will the round trip take in hours? Round to one decimal place. (You must show work for full credit) 624?𝑖?𝑒? ÷ 40??ℎ = 15. 6 ℎ?𝑢?? ● The Weather—In order to pack appropriately for the trip, you should consider the weather at your trip destination. The Weather ● What is the current typical temperature at your current location? Temp is 59ºF. Convert to Celsius: (You must show work for full credit) 32ºF=0ºC (59º𝐹 − 32) ∗ 5 9 = 15º𝐶 ● What is the current typical temperature at your trip destination? Temp is 66ºF. Convert to Celsius: (You must show work for full credit) 32ºF=0ºC (66º𝐹 − 32) ∗ 5 9 = 18. 889º𝐶 ● Someone will be taking care of your dog while you are gone. If you do not have a dog, suppose that you just got a puppy. Veterinarians recommend that dogs who weigh 30 pounds should eat 14 ounces of dog food per day. Dog/Puppy ● What is the weight of your dog (or new puppy) in pounds? 60??? ● How many days do you plan to be gone on your trip? 2 ● What is the minimum amount of dog food, in pounds, that you must leave for the puppy sitter so that there will be enough food for the dog through the entire time that you are gone? Round your answer up to the nearest pound. (You must show work for full credit) 14 ∗ 2 = 28 ?𝑧 60?? ∗ 16?𝑧 1?? = 1. 75?? ≈ 2?? ● Suppose that you were taking a trip of the same distance in another country--either Netherlands, Germany, Egypt, Japan, or South Africa. Country Average price of a gallon of Gas (in US Dollars) Exchange Rate: $1 = Name of Currency Netherlands $6.48 0.82446 Euro

Kelley Blue Book . (n.d.). KBB. 2010 Subaru Forester Price, Value, Ratings & Reviews | Retrieved September 29, 2023, from https://www.kbb.com/subaru/forester/2010/ Sandusky, OH Weather Forecast and Conditions - The Weather Channel | Weather.com . (n.d.). The Weather Channel. Retrieved September 29, 2023, from https://weather.com/weather/today/l/c320b1d4d66d110d567f818202d5b38e7b78ba92b49187c880013a0b2d6e3a5f Instructions for Submission: ● Enter your responses in the table provided or after the bullet point. You may change the color of the font if you so choose. ● Show all work, where applicable. ● Writing Mechanics: Correct spelling, grammar, and sentence structure. ● Cite all resources, where applicable. (For a guide to citing resources in APA, click on the following document: APA Formatting Guide