Find mass of uniform solid disk?

AI Thread Summary
To determine the mass of a uniform solid disk for an industrial turntable with a diameter of 48.0 cm and a kinetic energy of 0.300 J at 31.0 rpm, the moment of inertia formula I = 1/2 mr^2 is essential. The calculated inertia about the rotation axis is 5.71×10^-2 kg m^2. By rearranging the formula to find mass (m = I/r^2), using the radius instead of diameter is crucial, as the radius is 0.24 m. This approach successfully yields the required mass for the turntable design. The discussion emphasizes the importance of using the correct formulas and measurements in physics calculations.
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you need to design an industrial turntable that is 48.0 cm in diameter and has a kinetic energy of 0.300 J when turning at 31.0 rpm

i found that inertia of the turntable about the rotation axis
is = 5.71×10^-2 kg m^2

If your workshop makes this turntable in the shape of a uniform solid disk, what must be its mass?

it try to use I=mr^2
so mass = I/r^2

but that don't work
 
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Woot it work thank you
 
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