Question

Lucy is on a Ferris wheel that has 32 carts. The Ferris wheel slowly turns clockwise to lead each rider.Cart by cart, people get on the ride from the lowest point of the wheel, which is 8 feet from the ground. from the ground to the top of the wheel is 100 feet. before any one gets on the ride, Lucy is waiting in line as the 21st person in line.once everyone is loaded, the ride starts. Turning clockwise , the Ferris wheel goes through 1 revolution in 3min, and a complete ride lasts 2 revolutions.

Once ride is fully loaded , where is Lucy? find Lucy's exact initial radian angle in standard position. show all work.

Answer 1

Lugha 18 J 20 lis 29 30 31 so 31 32 Since Lucy is 21st person to board the carf, so once it is fully filled with 32 persons, the position will be as shown in above figure Since the carts are equally distributed on the circumferen of the wheel; so there will be a gap of 360 (45) between each 38 y cart. Initial position of Lucy from the ground will be us x 11) for Now, 180 k radian » 450 W *1 = 22.15875 rad o = 2.15875 rad.