A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. How many minutes of the ride are spent higher than 52 meters above the ground?

1 answer

the center of the wheel is 29 m above the ground ... 50/2 + 4

using the center of the wheel as the origin, higher than 52 m means y > 23

y/r is the sine of the central angle for h > 52

the wheel rotates at ... 360ยบ per (8*60) sec

find the time it takes to pass through the angle for h>52