Asked by lilian

Suppose you wanted to model the height above the ground of the tip of the blade of a windmill over time in seconds using a sinusoidal function. The windmill takes 45 seconds to complete one revolution and the tip of the blade is initially at a height of 1.5m above the ground. Provide an equation of such a sine function that will ensure that the minimum height of the tip of the blade from the ground is 1.5 m. Note that the maximum height can be any reasonable value of your choice.
Answered by oobleck
period = 45, so 2π/k = 45, thus k = 2π/45
You will need to know the radius of the blade. So, if that is a, then
y = asin(2π/45 x) + a+1.5
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