Final answer:
To calculate the number of revolutions a tire with a radius of 10.5 inches needs to make to travel 13,200 inches, we first compute the tire's circumference and then divide the travel distance by the circumference, resulting in approximately 200 revolutions.
Step-by-step explanation:
To determine how many revolutions a tire with a radius of 10.5 inches needs to make for the car to travel 13,200 inches, we need to calculate the circumference of the tire and then use this information to find the number of revolutions.
The circumference (C) of a circle (which is the path the tire takes in one revolution) is given by the formula C = 2πr, where r is the radius of the circle, and π (pi) is approximately 3.1416.
For a tire with a radius of 10.5 inches, the circumference is:
C = 2 * 3.1416 * 10.5 inches
C ≈ 65.9736 inches per revolution
To find the number of revolutions (N) needed to travel 13,200 inches, we divide the total distance by the circumference:
N = 13,200 inches / 65.9736 inches per revolution
N ≈ 200 revolutions
Therefore, the tire needs to make approximately 200 revolutions to travel 13,200 inches.