MHB Ferris Wheel Rotation: How Many Degrees Per Minute?

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The Ferris wheel has a diameter of 150 meters and completes one revolution in 18 minutes, resulting in a rotation of 20 degrees per minute. With a platform height of 15 meters, the total height of the structure is 165 meters. A table can be created to calculate the angle of rotation, vertical leg height, and capsule height at 10-minute intervals. The graph depicting the height of a capsule over time resembles a sinusoidal wave, reflecting the periodic motion of the Ferris wheel. The discussion emphasizes the mathematical relationship between time, degrees of rotation, and the height of the capsules.
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Ferris wheel consists of an observation wheel with a diameter of 150 meters atop a boarding terminal, giving structure an overall height of 165 meters.
Given that the Ferris wheel takes 18 minutes to complete one revolution, how many degrees will each capsule move per minute?
create a table calculating the angle of rotation, vertical leg height and capsule height from the ground for the given 10 interval of time. Calculate in degrees. Assume platform height is 15 meters.
 
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How many "capsules" are there on the Ferris wheel?
 
Given that the Ferris wheel takes 18 minutes to complete one revolution, how many degrees will each capsule move per minute?

This should be fairly simple, convert 360 degrees in 18 minutes to x degrees in 1 minute.

The graph shows height of a capsule above the ground in meters as a function of time in minutes, assuming the capsule starts at the very bottom at time zero ... does the shape of the graph look familiar?
 

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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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