Determine the equation of a sine or cosine function for the vertical position, in metres, of...

Determine the equation of a sine or cosine function for the vertical position, in metres, of a rider on a Ferris Wheel, after a certain amount of time, in seconds. The maximum height above the ground is 26 metres and the minimum height is 2 metres. The wheel completes one turn in 60 seconds. Assume that the lowest point is at time = 0 seconds.

Solutions

Expert Solution

Given,

A rider on Ferris wheel.

We need to find the vertical position in metres of the rider at a certain amount of time, in seconds.

Given, maximum and minimum vertical position of the rides as 26m and 2 m resp.

Let, the vertical position of the rider at time t is y metres

Also, the lowest point is at t= 0 sec. This means that at t= 0 , vertical position, y = 2m

So, radius of the Ferry wheel is 12m(as shown in fig.1)

Hence, the vertical position of the rider at a certain amount of time t(in seconds) is:

y = 14 - 12cos(πt/30) metres.

Colby Messinger answered 1 year ago

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