Helicopter blade energy physics problem

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SUMMARY

The discussion centers on calculating the moment of inertia and rotational kinetic energy of helicopter blades modeled as thin rods. The moment of inertia for two blades, each with a mass of 240 kg and length of 6.7 m, is calculated using the formula I = (1/3)ml², resulting in a total moment of inertia of 10773.6 kg*m². The rotational kinetic energy is computed using KEr = (1/2)Iω², yielding a value of 1.09E7 J. The error identified was the incorrect application of the moment of inertia formula for a point mass instead of the appropriate formula for a thin rod.

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Kris1120
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1. A helicopter has two blades , each of which has a mass of 240 kg and can be approximated as a thin rod of length 6.7 m. The blades are rotating at an angular speed of 45 rad/s. (a) What is the total moment of inertia of the two blades about the axis of rotation? (b) Determine the rotational kinetic energy of the spinning blades.



Homework Equations





3. a. I=mr^2
=(240kg)(6.7)^2
=10773.6 kg*m^2

b. KEr=(1/2) I w(meaning angular velocity)^2
= .5 (10773.6kg*m^2) *45 rad/s ^2
= 1.09E7 J


The computer program we use for homework said they were both wrong! What did I do wrong?
 
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Kris1120 said:
I=mr^2
That is the moment of inertia of a point particle of mass m at a distance r from the axis of rotation, not a thin rod.
 

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