entum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg dist tance r = 48 m from the center of rotation. The turbine rotates with a frequency of f= 15 rpm.
entum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg dist tance r = 48 m from the center of rotation. The turbine rotates with a frequency of f= 15 rpm.
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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![**Problem 3:** Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of \( m = 5500 \, \text{kg} \) distributed uniformly along its length and extends a distance \( r = 48 \, \text{m} \) from the center of rotation. The turbine rotates with a frequency of \( f = 15 \, \text{rpm} \).
### Part (a)
Enter an expression for the total moment of inertia of the wind turbine about its axis of rotation, in terms of the defined quantities.
\[ I = \]
(Note: There is an input box with a keypad below available for expression entry.)
### Part (b)
Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
### Part (c)
Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities.
### Part (d)
Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe02afb4e-cb6f-4163-a956-4878a602b229%2Fb57c80ff-d83e-4939-b039-0b1fc92a7dc2%2Ff865dv5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3:** Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of \( m = 5500 \, \text{kg} \) distributed uniformly along its length and extends a distance \( r = 48 \, \text{m} \) from the center of rotation. The turbine rotates with a frequency of \( f = 15 \, \text{rpm} \).
### Part (a)
Enter an expression for the total moment of inertia of the wind turbine about its axis of rotation, in terms of the defined quantities.
\[ I = \]
(Note: There is an input box with a keypad below available for expression entry.)
### Part (b)
Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
### Part (c)
Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities.
### Part (d)
Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.
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