a ferris wheel has a diameter of 180 ft Passengers ride in a carriage around the ferris wheel for each problem show or explain your thinking ?

A.How far does a carriage passengers travel during one rotation of the wheel?Round to the nearest tenth

B.Write an equation relating the total distance traveled to the number of rotations of the wheel.Be sure to define your variables.

C.If the Ferris wheel rotates at a rate of 90 ft per minute,how long will it take to complete 3 rotations? Round to the nearest tenth of a minute,and assume there are no stops

The process used for finding the path is the same process used to find the arc length of a circle in geometry, we just divide the arc length by the wheel circumference to find wheel rotations.

The pivot turn does twice as many rotations as a point turn because only one wheel is doing the turning.

With the wheel turning 5.50" in one revolution, it would travel: 5.50" x 2.3 revolutions or 12.65" total. Since the circumference is equal to πx D, it is equal to: 3.14 x 3.125" = 9.81". With the wheel turning 9.81" in one revolution, it would travel: 9.81" x 3.625 revolutions or 35.56" total.