Question

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.

Use your data to predict when you will need to switch the front and back tires.

You will turn in the following:
a table containing the circumferences of the tires of three vehicles
clearly labeled calculations showing how you determined the number of rotations each of the vehicles’ tires will complete in 10,000 miles
data showing distance traveled in a week
clearly labeled calculations showing how you found the average daily number of rotations
a prediction for when you will need to switch the front and back tires and an explanation of your prediction

You will turn in the following:

a paragraph explaining what would happen to the number of rotations if your tires’ circumference increased by 20%
a paragraph explaining what would happen to the number of rotations if your tires’ circumference decreased by 20%

Answer 1

[AI-generated answer — Bot GPT 3.5]

The data for the three vehicles are as follows:

Vehicle 1: Circumference of tire = 75 inches
Vehicle 2: Circumference of tire = 80 inches
Vehicle 3: Circumference of tire = 70 inches

To calculate the number of rotations each tire will complete in 10,000 miles, we can use the formula:
Number of rotations = Distance traveled / Circumference of tire

Assuming a distance traveled of 10,000 miles for each vehicle, the number of rotations would be:

Vehicle 1: 10,000 miles / 75 inches = 133.33 rotations
Vehicle 2: 10,000 miles / 80 inches = 125 rotations
Vehicle 3: 10,000 miles / 70 inches = 142.86 rotations

For the distance traveled in a week, let's say Vehicle 1 traveled 500 miles. The average daily number of rotations would be:

500 miles / 75 inches = 6.67 rotations per day

To predict when you will need to switch the front and back tires, you can calculate the approximate number of rotations for each tire type (front and back) and switch them when they are close to each other. For example, if the front tires have completed 70% of the rotations compared to the back tires, it might be a good time to switch them.

If the tires' circumference increased by 20%, the number of rotations would decrease as the distance traveled remains the same. This is because the tire covers more ground with each rotation, meaning fewer rotations are needed to cover the same distance.

On the other hand, if the tires' circumference decreased by 20%, the number of rotations would increase as the tire covers less ground with each rotation, meaning more rotations are needed to cover the same distance.