Vehicle 1: Car
Wheel Circumference: 80 inches
Number of rotations in 10,000 miles: 125
Vehicle 2: Bike
Wheel Circumference: 50 inches
Number of rotations in 10,000 miles: 200
Vehicle 3: Tractor
Wheel Circumference: 120 inches
Number of rotations in 10,000 miles: 83.33
Measure the circumference of the tires of three different vehicles. Vehicles can include cars, bikes, scooters, tractors, etc.
Determine the number of full rotations the tires of each of the vehicles will complete in 10,000 miles.
(4 pts)
Vehicles
Wheel Circumferences (in)
Number of rotations in 10,000 miles (Miles/Circumference)
7 answers
Part 2:
Directions: (10 pts)
Choose one of the vehicles and keep track of how far you travel in that vehicle for a week. Calculate the average daily number of rotations made by the tires.
Day of the week
Circumference of wheel
Miles traveled
Daily Rotations
(Miles/Circumference)
Directions: (10 pts)
Choose one of the vehicles and keep track of how far you travel in that vehicle for a week. Calculate the average daily number of rotations made by the tires.
Day of the week
Circumference of wheel
Miles traveled
Daily Rotations
(Miles/Circumference)
I am unable to track real-time data for the distance traveled in a specific vehicle. However, I can certainly provide a hypothetical example for you to calculate the average daily number of rotations made by the tires if you provide the circumference of the wheel and the miles traveled each day for the chosen vehicle. Let me know if you want me to proceed with a hypothetical scenario.
yes please continue
Let's consider Vehicle 2: Bike with a wheel circumference of 50 inches.
Hypothetical Scenario:
Day 1: Traveled 10 miles
Daily Rotations: 0.2 rotations
Day 2: Traveled 15 miles
Daily Rotations: 0.3 rotations
Day 3: Traveled 8 miles
Daily Rotations: 0.16 rotations
Day 4: Traveled 20 miles
Daily Rotations: 0.4 rotations
Day 5: Traveled 12 miles
Daily Rotations: 0.24 rotations
Day 6: Traveled 18 miles
Daily Rotations: 0.36 rotations
Day 7: Traveled 25 miles
Daily Rotations: 0.5 rotations
To calculate the average daily number of rotations made by the tires, you would add up the daily rotations for each day and then divide by 7 (the number of days in a week). In this hypothetical scenario, the average daily number of rotations for the Bike in a week would be:
Average Daily Rotations = (0.2 + 0.3 + 0.16 + 0.4 + 0.24 + 0.36 + 0.5) / 7
Average Daily Rotations = 2.16 / 7
Average Daily Rotations ≈ 0.308 rotations
Therefore, the average daily number of rotations made by the tires of the Bike in this hypothetical scenario is approximately 0.308 rotations.
Hypothetical Scenario:
Day 1: Traveled 10 miles
Daily Rotations: 0.2 rotations
Day 2: Traveled 15 miles
Daily Rotations: 0.3 rotations
Day 3: Traveled 8 miles
Daily Rotations: 0.16 rotations
Day 4: Traveled 20 miles
Daily Rotations: 0.4 rotations
Day 5: Traveled 12 miles
Daily Rotations: 0.24 rotations
Day 6: Traveled 18 miles
Daily Rotations: 0.36 rotations
Day 7: Traveled 25 miles
Daily Rotations: 0.5 rotations
To calculate the average daily number of rotations made by the tires, you would add up the daily rotations for each day and then divide by 7 (the number of days in a week). In this hypothetical scenario, the average daily number of rotations for the Bike in a week would be:
Average Daily Rotations = (0.2 + 0.3 + 0.16 + 0.4 + 0.24 + 0.36 + 0.5) / 7
Average Daily Rotations = 2.16 / 7
Average Daily Rotations ≈ 0.308 rotations
Therefore, the average daily number of rotations made by the tires of the Bike in this hypothetical scenario is approximately 0.308 rotations.
Use your data to predict when you will need to switch the front and back tires
To predict when you will need to switch the front and back tires on the Bike, we can calculate the total distance the Bike has traveled before the front and back tires are expected to have worn differently due to the varying number of rotations.
From the previous calculations:
- Average daily rotations: 0.308 rotations
Assuming that we need to switch the tires when the difference in rotations reaches 50%, meaning one set of tires has completed 1.5 times the rotations of the other set, we can set up the following equation:
[(1.5 * Total Rotations) / 2] = Total Distance
Total Rotations = Total Distance / Circumference
Total Rotations = Total Distance / 50 (as the circumference is 50 inches)
Substitute the average daily rotations into our formula:
[(1.5 * (Total Distance / 50 * 0.308) / 2] = Total Distance
Solving this equation will give us the total distance the Bike can travel before needing to switch the front and back tires.
From the previous calculations:
- Average daily rotations: 0.308 rotations
Assuming that we need to switch the tires when the difference in rotations reaches 50%, meaning one set of tires has completed 1.5 times the rotations of the other set, we can set up the following equation:
[(1.5 * Total Rotations) / 2] = Total Distance
Total Rotations = Total Distance / Circumference
Total Rotations = Total Distance / 50 (as the circumference is 50 inches)
Substitute the average daily rotations into our formula:
[(1.5 * (Total Distance / 50 * 0.308) / 2] = Total Distance
Solving this equation will give us the total distance the Bike can travel before needing to switch the front and back tires.
2 answers