A Ferris wheel is 32 meters in diameter and makes one revolution every 4 minutes. For how many minutes of any revolution will your seat be above 24 meters?

Answer 1

r = 16 , I assume grazes ground

h = 16 - 16 cos T where T is angle up from straight down

h = 16(1 - cos T)
let's find out what angle hits 24 meters

24 = 16 (1 - cos T)
1.5 - 1 = - cos T
cos T = -.5
T = 120 degrees

so between 120 and (360 - 120) = 240
which is 120 or 1/3 of the way around

4 minutes * (1/3 of revolution ) = 1 1/3 minutes

Answer 2

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