Ferris Wheel Rotation: How Many Degrees Per Minute?

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SUMMARY

The Ferris wheel has a diameter of 150 meters and takes 18 minutes to complete one full revolution, resulting in a rotation of 20 degrees per minute (360 degrees divided by 18 minutes). The overall height of the structure is 165 meters, with a platform height of 15 meters. A table can be created to calculate the angle of rotation, vertical leg height, and capsule height from the ground at 10-minute intervals. The Ferris wheel features multiple capsules, although the exact number was not specified in the discussion.

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  • Understanding of basic geometry and trigonometry
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  • Calculate the height of each capsule at various time intervals using trigonometric functions
  • Explore the relationship between angular velocity and linear velocity in circular motion
  • Learn about graphing periodic functions to visualize the height of the capsule over time
  • Investigate the physics of Ferris wheel design and safety considerations
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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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