A GE wind turbine has blades that are each 85 feet long. The turbine spins at a rate of 40 revolutions per second, and its center is 100 feet above the ground. (a) In an equation describing circular motion, the angular speed is the coefficient of the variable in the argument. What is the angular speed of this wind turbine? Identify the units of your angular speed, and determine the corresponding units of the variable by which it is multiplied. (b) Construct a model for the height of the tip of a blade above the ground as a func- tion of time. Suppose the tip starts at the at the three o'clock position and rotates counterclockwise. (c) When is the tip 90 feet above the ground? (d) Modify your sinusoidal model to a new one (using a phase shift) where the tip of the blade starts at its lowest point 15 feet above the ground.

A GE wind turbine has blades that are each 85 feet long. The turbine spins at a rate of 40 revolutions per second, and its center is 100 feet above the ground. (a) In an equation describing circular motion, the angular speed is the coefficient of the variable in the argument. What is the angular speed of this wind turbine? Identify the units of your angular speed, and determine the corresponding units of the variable by which it is multiplied. (b) Construct a model for the height of the tip of a blade above the ground as a func- tion of time. Suppose the tip starts at the at the three o'clock position and rotates counterclockwise. (c) When is the tip 90 feet above the ground? (d) Modify your sinusoidal model to a new one (using a phase shift) where the tip of the blade starts at its lowest point 15 feet above the ground.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

(2) A GE wind turbine has blades that are each 85 feet long. The turbine spins at a rate of 40
revolutions per second, and its center is 100 feet above the ground.
(a) In an equation describing circular motion, the angular speed is the coefficient of the
variable in the argument. What is the angular speed of this wind turbine? Identify the
units of your angular speed, and determine the corresponding units of the variable by
which it is multiplied.
(b) Construct a model for the height of the tip of a blade above the ground as a func-
tion of time. Suppose the tip starts at the at the three o'clock position and rotates
counterclockwise.
(c) When is the tip 90 feet above the ground?
(d) Modify your sinusoidal model to a new one (using a phase shift) where the tip of the
blade starts at its lowest point 15 feet above the ground.

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