Question

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when mc008-1.jpg and that the windmill turns counterclockwise at a constant rate.

Answer 1

Question: The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate.

Answer:

a is the length of the blade.

The vertical shift, k, is the height of the windmill.

a = 15

k = 40

The period is 20 seconds.

b = pi/10

Third option (C)

ed2022

Answer 2

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. The sine model that can be used is answer choice:

C) h = 10sin(π/15t) + 35

I hope this helps, Regards.