I with rotational kinetic energy problems

AI Thread Summary
The discussion focuses on solving rotational kinetic energy problems using the formula KE=(1/2)(I)(w)^2, where I is the moment of inertia and w is the angular velocity. The user encountered discrepancies in their calculations, initially obtaining 1.1 x 10^6 J instead of 2,218,410 J for the first problem, indicating confusion about the application of the formula. For the second problem, they calculated 21 J but suspected it was incorrect. There is also a request for clarification on whether the change in kinetic energy equals work and a question about the moment of inertia for a solid uniform sphere. The conversation highlights the challenges faced in applying rotational dynamics concepts effectively.
kenny243
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I tried to use this formula: KE=(1/2)(I)(w)^2, and work=change in KEFor the first question, i tried to plug the number into the rotation kinetic energy formula:
3600rpm=376.8rad/s
(0.5)(2,000kg)(0.125m)^2(376.8rad/s)^2
I found out this was the answer 1.1 x 106 J, but I got 2218410J

For the second one, I did:
(0.5)(7kg)(0.109)^2((6m/s)/(0.1m))^2
And I got 21j, pretty sure is wrong.

Can someone please help me out, or give me a hint??
Really struggling.
Does the change in kinetic energy equal to work?
 
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kenny243 said:
I got 2218410J
I get about the same.
kenny243 said:
For the second one, I did:
(0.5)(7kg)(0.109)^2((6m/s)/(0.1m))^2
What's the formula for the MoI of a solid uniform sphere?
 
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