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?

Answer 1

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.