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A Ferris wheel has a diameter of 60 m, with a minimum height of 9 m above the
ground. It takes 20 seconds for the Ferris wheel to complete one rotation. If a rider
boards a car when it is at its lowest point
O: What is the minimum height of the rider?

A: Minimum height of the rider is __ meters.

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Respuesta :

xero099

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

How to analyze a Ferris wheel

The model of the height of a Ferris wheel is represented by a sinusoidal model, which is presented below:

h = A + B · sin ωt     (1)

Where:

  • A - Midpoint height, in meters.
  • B - Amplitude, in meters
  • ω - Angular frequency, in radians per second.
  • t - Time, in seconds

Sinusoidal functions are bounded functions, the minimum height of the Ferris wheel represents the lower bound of the function and the maximum height is the upper bound. Therefore, the minimum height of the rider is:

[tex]h_{min} = 39\,m - 30 \,m[/tex]

[tex]h_{min} = 9\,m[/tex]

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

To learn more on Ferris wheel: https://brainly.com/question/16396069

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