Final answer:
It is essential to check the wheel securement after 50 km and before 100 km following service. Additionally, for a tire with a 0.260-meter radius, it would make approximately 48,990,798 revolutions when the automobile has traveled 80,000 km, using the formula for the circumference of a circle.
Step-by-step explanation:
When your wheels have been in for service, it is important to check the securement (lugnuts) after 50 km and before 100 km. This is to ensure that the lugnuts have not loosened after the initial torqueing due to the wheels settling or temperature changes that can affect the tightness of the lugnuts. The correct answer to the question of when to have the wheel securement checked is: a. After 50 km, before 100 km.
Regarding the calculation of how many revolutions an automobile's tires make over a certain distance, we can start by finding the circumference of a tire. The circumference (C) of a circle can be found with the formula
, where r is the radius of the circle. For a tire with a radius of 0.260 meters, the circumference would be:
m = approximately 1.633 m (rounded to three decimal places).
To find the total number of revolutions (R), we can divide the total distance traveled by the tire's circumference:
R = Total distance traveled / Tire's circumference = 80,000,000 m / 1.633 m = approximately 48,990,798 revolutions (rounded to the nearest whole number).