Calculating Rotational Inertia: A Puzzling Problem?

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SUMMARY

The discussion focuses on calculating the rotational inertia of a wheel with a kinetic energy of 20,300 J at a rotation speed of 794 revolutions per minute (rev/min). The user initially applied the formula K = 1/2 * I * w^2 but struggled with unit conversions, specifically converting angular velocity from rev/min to radians per second. The correct conversion is essential for obtaining the rotational inertia in the proper unit of kg*m².

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ViewtifulBeau
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Calculate the rotational inertia of a wheel that has a kinetic energy of 20300 J when rotating at 794 rev/min.
I don't understand this whole rotational inertia thing too well but I thought I found the right equation, but apparently I didn't. I used K = 1/2 * I * w^2
I converted the 794 rev/min to 13.233 rev/s and plugged the numbers into the equation to get 232. The answer is suppose to be in kg*m*m, but withw being in rev/s I don't know what to do.
 
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Convert the w to radians per second
 

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