When you drive, your tires don’t wear out evenly; your front tires usually wear out faster than your rear tires. To extend the life of your tires, it is suggested that you switch the front and back tires every 10,000 miles. How many times do your tires complete a full rotation before you should switch your front and back tires?
Objective
Determine the number of rotations of a circle of a specified size it takes to cover a given distance
To determine the number of rotations your tires complete before switching, we first need to understand the circumference of a tire.
The circumference of a tire can be calculated using the formula: circumference = 2 * π * radius.
Assuming the radius of a tire is 14 inches, the circumference of a tire would be:
circumference = 2 * π * 14
circumference = 87.9646 inches
Next, we need to calculate the total distance your tires cover before switching, which is 10,000 miles.
Now, we convert the total distance to inches by multiplying by 63,360 inches (1 mile = 63,360 inches):
10,000 miles * 63,360 inches/mile = 633,600,000 inches
Finally, we divide the total distance by the circumference of a tire to determine how many rotations complete before switching the tires:
633,600,000 inches / 87.9646 inches = 7,205,728 rotations
Therefore, your tires complete over 7.2 million rotations before you should switch your front and back tires.