a sport utility vehicle has tires which are 110cm in diameter.if the wheel is rotated through 30 rev\min,how far forward does a point on the tire travel?
First, we need to find the circumference of the tire:
Circumference = π * diameter
Circumference = π * 110 cm
Circumference ≈ 345.45 cm
This means that for every revolution of the tire, a point on the tire travels 345.45 cm forward.
Since the wheel is rotating at a rate of 30 rev/min, we can find the distance traveled in one minute:
Distance = Circumference * revolutions per minute
Distance = 345.45 cm/rev * 30 rev/min
Distance = 10,363.5 cm/min
Therefore, a point on the tire travels approximately 10,363.5 cm or 103.635 meters forward in one minute.