Question

DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY

Here is a point at the tip of a windmill blade. The center of teh windmill is 6 feet off the ground and the blades are 1. 5 feet long. Write an equation giving the height h of the point P after the windmill blade rotates by an angle of a. Point P is currently rotated π/4 radians from the point directly to the right of the center of the windmill

Answer 1

Explanation:

The equation for the height h of point P on the windmill blade after it has rotated by an angle a can be given by:

h(a) = r - r * cos(a + α)

where:

• r is the length of the windmill blade (in this case, 1.5 feet, as given in the question).
• a is the angle of rotation in radians.
• α is the angle between the reference point (directly to the right of the center of the windmill) and the initial position of the windmill blade (which is π/4 radians, as given in the question).

In this case, since point P is currently rotated π/4 radians from the point directly to the right of the center of the windmill, we can substitute α with π/4 in the equation:

h(a) = 1.5 - 1.5 * cos(a + π/4)

This equation gives the height of point P on the windmill blade above the ground after it has rotated by an angle of a, with the initial position of the blade being π/4 radians from the point directly to the right of the windmill center, assuming the windmill blade is 1.5 feet long.