A sport utility vehicle has tires which are 110cm in diameter If the wheel is rotated through 30 revolutions,how far forward does a point on the tire travel?
The circumference of the tire can be calculated as:
C = πd
C = π(110cm)
C ≈ 345.4cm
So for one revolution of the tire, a point on the tire travels 345.4cm forward.
Therefore, for 30 revolutions, a point on the tire travels:
30 revolutions x 345.4cm/revolution = 10,361.2cm or 103.612m (rounded to three decimal places)
So a point on the tire travels approximately 103.612 meters forward after 30 revolutions of the wheel.
To find out how far forward a point on the tire travels, we need to calculate the circumference of the tire.
Circumference = π * Diameter
Given that the diameter (D) of the tire is 110 cm, we can calculate the circumference.
Circumference = π * 110 cm
Now, we need to find how far the point on the tire travels when the wheel is rotated through 30 revolutions. Since each revolution corresponds to one circumference, we can multiply the circumference by the number of revolutions.
Distance traveled = Number of revolutions * Circumference
Distance traveled = 30 * Circumference
Substituting the value of the circumference, we get:
Distance traveled = 30 * (π * 110 cm)