Rebecca A.
asked 04/05/23Phy Review Question Part 2 Help
A potter's wheel, with rotational inertia 7.20 kg·m2 is spinning freely at 18.0 rpm. The potter drops a 2.70 kg lump of clay onto the wheel, where it sticks a distance of 50.0 cm from the rotation axis.
What is the subsequent angular speed of the wheel? (This I got correct to be 16.45 rpm)
What is the change in the rotational kinetic energy of the system? (Need help on this one)
1 Expert Answer
Yefim S. answered 04/05/23
Math Tutor with Experience
Iω0 = (I + mr2)ω; ω = Iω0/(I + mr2) = 7.20·18.0/(7.20 + 2.70·0.52) = 16.46 rpm
ΔK = 0.5(I + mr2)ω2 - 0.5Iω02 = 0.5(7.20 + 2.7·0.52)·(16.46·2π/60)2 - 0.5·7.20·(18·2π/60)2 = - 1.0923 J
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Harris S.
04/05/23