Helicopter blade energy physics problem

AI Thread Summary
The discussion focuses on calculating the total moment of inertia and rotational kinetic energy of helicopter blades modeled as thin rods. The moment of inertia was initially calculated using the formula I=mr^2, yielding a value of 10,773.6 kg*m^2 for both blades. However, this approach is incorrect for thin rods, as it applies to point particles instead. The correct moment of inertia for a thin rod rotating about one end should be used. Consequently, the rotational kinetic energy calculation based on the incorrect moment of inertia is also flawed.
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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