Question

Tires must have a visible tread of at least _______ of an inch across the base.

Options:
a) 1/8
b) 1/4
c) 3/8
d) 1/2

Answer 1

Tires with a radius of 0.260 m traveling a distance of 80,000 km will make approximately 49,021,578 revolutions. The number of revolutions is calculated by dividing the total distance traveled in meters by the tire circumference, obtained from the formula C = 2πr.

Step-by-step explanation:

To determine how many revolutions an automobile's tires make, one needs to know the circumference of the tires since this represents the distance the car will travel in one revolution. The formula to calculate the circumference (C) is C = 2πr where π is approximately 3.14159, and r is the radius of the tire. Given that the radius of the tires is 0.260 m, we calculate the circumference as follows:

C = 2π(0.260 m) ≈ 1.633 m per revolution.

Next, we need to convert the total distance traveled from kilometers to meters:

80,000 km = 80,000,000 m

Now, we can find the number of revolutions by dividing the total distance traveled by the circumference of one tire:

Number of revolutions = Total distance traveled / Circumference

Number of revolutions = 80,000,000 m / 1.633 m per revolution ≈ 49,021,578 revolutions.

Therefore, the tires make approximately 49,021,578 revolutions before wearing out, neglecting any backing up and any change in radius due to wear.