Flywheel with weight - Rotational Inertia

AI Thread Summary
The discussion revolves around a problem involving a flywheel and a hanging weight, specifically focusing on the calculation of the system's kinetic energy. The user correctly calculated the angular velocity of the flywheel but is struggling with part b, where they believe they miscalculated the total kinetic energy. They used the formula for kinetic energy, incorporating both the rotational and translational components, but their final result of 7.381 J is deemed incorrect. The user seeks assistance in identifying potential errors in their calculations. Clarifying the equations and ensuring correct values are used may help resolve the issue.
Bryon
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Hey everyone! I have a small problem with part b. I am wondering if i miscalculated something. Any ideas? Thanks!


Homework Statement



A 15 kg flywheel has all its mass around its outer rim. A string is wrapped around it and a m = 4.7 kg weight is hanging on the string. The flywheel has radius R = 0.25 m.


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a) When the 4.7 kg weight is dropping with a speed of 1.1 m/s, what is the angular velocity of the flywheel?
w = rad/s *
4.4 OK


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b) When the 4.7 kg weight is moving with a speed of 1.1 m/s, what is the kinetic energy of the entire system? This one seems really easy, but for some reason I keep getting the wrong answer.

Homework Equations



K(rotational) = 0.5Iw^2
I = 0.5m(wheel)r^2
KE = 0.5m(block)v^2


The Attempt at a Solution



KE(system) = 0.5[0.5m(wheel)r^2]w^2 + 0.5m(block)v^2

0.5*[0.5*15*0.25^2]*(4.4^2) + 0.5*4.7*(1.1^2)
KE(system) = 4.5375 + 2.8435 = 7.381 J


For some reason 7.381 is not correct.
 
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