What is the correct moment of inertia for part a using I=m*r^2?

AI Thread Summary
The moment of inertia for part a was calculated using the formula I=m*r^2, resulting in 40.36 kg*m^2. For a uniform disk, the moment of inertia is correctly given by 1/2MR^2, which equals 20.18 kg*m^2. The kinetic energy (KE) calculation using K=1/2Iw^2 resulted in an incorrect value of 305.22 J. It was clarified that the rotation rate should be converted to rad/s for accurate calculations. The discussion highlights the importance of using the correct units in physics equations.
Sneakatone
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for part a I used the equation I=m*r^2 ---> 120(58/100)^2=40.36 kg*m^2

b)I know how to do this using the equation K=1/2Iw^2 but my moment of inertia is incorrect.
 

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Sneakatone said:
for part a I used the equation I=m*r^2 ---> 120(58/100)^2=40.36 kg*m^2

b)I know how to do this using the equation K=1/2Iw^2 but my moment of inertia is incorrect.
What is the moment of inertia of a uniform disk of mass, M, and radius, R ?
 
I used the equation 1/2MR^2 and got =20.18.
when I plugged everything into the KE equation I had 305.22 J but that is incorrect.
 
Sneakatone said:
I used the equation 1/2MR^2 and got =20.18.
when I plugged everything into the KE equation I had 305.22 J but that is incorrect.

What are the units for ω ?
 
rev/s
 
Sneakatone said:
rev/s

The rotation rate is given you in rev/s, but what units does it need to be into plug it into the formula for KE?
 
should it be rev/min or rad/s?
 
I got it now it should be in rad/s for some reason I thought It was suppose to be rev/s.
Thank you all!
 
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