Question

the london eye, a ferris wheel in England, has a diameter of 120 meters. This wheel completes a full rotation in 30 minutes at a speed which allows passengers to enter a capsule at the base of the Ferris wheel without stopping the wheel. At the highest point, a capsule reaches a height of 135 meters above the ground.

Answer 1

Given in the problem is the diameter of the Ferris Wheel.

Thus, we can compute for the Ferris Wheel Circumference. This is the circular distance a single capsule attached to the wheel needs to do a full circle to.

Using 2 Step, we find the rate of how fast the capsule needs to be moving to complete 1 full cycle in 30 minutes.
1. Formula for computing the circumference
C =  2 x π x R

where R = Diameter divided by 2

C = 2π(120/2 )
C = 120π

2. Compute the rate or speed of the capsule / coach.
Rate or Speed = Distance to cover / Time it takes to cover
R/S = 120π/30 = 4π m/min or 12.57737 meters / min