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.
Explain why your equation works.
1.5 meters above ground will damage a person or animal, nuts, but anyway radius of 1 meter
minimum ht = 1.5
maximum ht = 1.5 + 2 = 3.5
mean height (height of center) = 2.5
so perhaps
h = 2.5 - 1 cos (2 pi f t )
I chose -cos so that at t = 0 h = 1.5, could have said 2.5 + 1 sin (2 pi f t - pi/2)
f = 1/T = 1/45