Problem 4: 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 kg distributed uniformly along its length and extends a distance r = 46 m from the center of rotation. The turbine rotates with a frequency of f = 14 rpm.

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Chapter1: Units, Trigonometry. And Vectors
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Please answers parts b-d

Problem 4: 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 kg distributed uniformly along its length and extends a distance r = 46 m from the center of rotation. The turbine rotates with
a frequency of f =14 rpm.
in terms of the defined quantities.
Part (a) Enter an expression for the total moment of inertia of the wind turbine about its axis of rotation
Expression :
I =
mr2
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, 0, a, b, d, g, h, j, k, m, P, r, S, t
Part (b) Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
Numeric : A numeric value is expected and not an expression.
I =
1,164E+7
Part (c) Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities.
Expression :
L =
Select from the variables below to write your expression. Note that all variables may not be required.
a., B, n, 0, a, d, f, g, h, j, k, m, P, r,t
Part (d) Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.
Numeric : A numeric value is expected and not an expression.
L =
Transcribed Image Text:Problem 4: 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 kg distributed uniformly along its length and extends a distance r = 46 m from the center of rotation. The turbine rotates with a frequency of f =14 rpm. in terms of the defined quantities. Part (a) Enter an expression for the total moment of inertia of the wind turbine about its axis of rotation Expression : I = mr2 Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, b, d, g, h, j, k, m, P, r, S, t Part (b) Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. Numeric : A numeric value is expected and not an expression. I = 1,164E+7 Part (c) Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. Expression : L = Select from the variables below to write your expression. Note that all variables may not be required. a., B, n, 0, a, d, f, g, h, j, k, m, P, r,t Part (d) Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second. Numeric : A numeric value is expected and not an expression. L =
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