1. You will need to find the diameter of 3 tires. They are all set up the same (you can also Google car tires)The only requirement is that they need to be different and one of them really should be like a family car to use for one of the other steps later.
2. Google and use how many INCHES in a MILE.
3. Answer the questions given in the portfolio about circumference, area, radius and diameter.
4. Get the circumference for each tire-- show work. Please use 3.14 for pi.
5. Find the number of inches in 10,000 miles. Use this to find out the number or rotations for each time to go 10,000 miles -- all of this should be in inches.
6. Take one car and get the average miles in a week (7 days). Give that number and then give the daily miles. If you can't ask someone, you can use a weekly total greater than 100 miles made up and I am ok with that. Try to be realistic. I double you would be driving over 2000 a week.
7. Take that weekly mileage and get the daily miles. Then calculate how many rotations based on the circumference of your chosen car it takes to travel in a day.
8. Lastly, use that daily rotation amount and the 10,000 miles in inches and calculate how many days would it take to need to rotate your tires.
google car tires
1. Let's assume the three tires have diameters of 26 inches (for a family car), 22 inches, and 18 inches.
2. There are 63,360 inches in a mile.
3. Portfolio Questions:
- Circumference = π * Diameter
- Area = π * (Radius)^2
- Radius = Diameter / 2
- Diameter = 2 * Radius
4. Circumference of the tires:
- For 26-inch tire: 26 * π = 81.64 inches
- For 22-inch tire: 22 * π = 69.08 inches
- For 18-inch tire: 18 * π = 56.52 inches
5. Number of inches in 10,000 miles = 10,000 * 63,360 = 633,600,000 inches. To find the number of rotations for each tire to go 10,000 miles:
- For 26-inch tire: 633,600,000 / 81.64 = 7,755,601.17 rotations
- For 22-inch tire: 633,600,000 / 69.08 = 9,169,952.92 rotations
- For 18-inch tire: 633,600,000 / 56.52 = 11,202,658.22 rotations
6. Let's say the average miles driven in a week is 200 miles. Daily miles would be 200 / 7 = 28.57 miles per day.
7. Daily rotations for the chosen car (26-inch tire) to travel 28.57 miles:
- Daily rotations = 28.57 / 81.64 = 0.35 rotations per day
8. Calculation of how many days it would take to rotate the tires for 10,000 miles:
- For 26-inch tire: 7,755,601.17 / 0.35 = 22,158,860.49 days