Question

The Singapore Flyer, until recently the world's largest Ferris wheel, completes one rotation every 32 minutes, 1 Measuring 150 m in diameter, the Flyer is set atop a terminal building. with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina Centre, it turns in the clockwise direction. State the o'clock position on the wheel and height above the ground of a person who has ridden the wheel for 40 minutes. Assume that the person boarded the wheel at the 6 o'clock position. Height = ______?

Answer 1

A person riding the Singapore Flyer for 40 minutes would be at the 9 o'clock position with a height of 90 m above the ground.

Step-by-step explanation:

The Singapore Flyer completes one rotation every 32 minutes. As the person has ridden the wheel for 40 minutes, they have completed one full rotation (32 minutes) and an additional ¼ of rotation (8 minutes, which is ¼ of 32 minutes).

To find the o'clock position, we can divide the wheel into 12 equal segments, like a clock. A full rotation is 12 o'clock positions and ¼ of a rotation would be 3 o'clock positions. Since the person started at 6 o'clock and moved in a clockwise direction for 3 o'clock positions, they would be at the 9 o'clock position after 40 minutes.

The height above the ground is the same as the starting point because the wheel has returned to the same vertical position after one complete rotation plus ¼ rotation. The starting height at the 6 o'clock position would be at the level of the terminal building. Thus, the height above the ground is 165 m - (150 m / 2), which is the radius of the wheel. Therefore, the height = 90 m.