A Wind Farm Generator Uses a Two-Bladed Propeller (See Figure)mounted

question 24

Short Answer

A wind farm generator uses a two-bladed propeller (see figure)mounted on a pylon at a height of 20 m.The length of each propeller blade is 12 m.A small piece from the tip of the propeller breaks off when the propeller is vertical.At that instant,the period of the motion of the propeller is 1.2 s.The fragment flies off horizontally,falls with negligible air resistance,and strikes the ground at P.
(a)How far is point P from the base of the pylon?
(b)At what angle with respect to the vertical is the fragment moving just as it strikes the ground at P?

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Definitions:

1700s

The 18th century, a period marked by significant changes worldwide, including enlightenment thinking, industrial advances, and the American and French revolutions.

Enslaved African People

Individuals of African descent who were forcibly brought under control and used for labor, predominantly in the Americas, during the transatlantic slave trade period.

Eighteenth Century

The period from 1701 to 1800 in the Gregorian calendar, known for its significant developments in Enlightenment thought, political revolutions, and the early stages of the Industrial Revolution.