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A potter's wheel, that has a radius R=15 cm and weighs 70 kg, is used to...

A potter's wheel, that has a radius R=15 cm and weighs 70 kg, is used to mold pottery clay. A 5 kg solid ball of clay, with a radius of r ball=6 cm, is placed in the center of the wheel and both get spun up to 50 rad/s. If you are able to form the clay into a solid disk with a radius of r disk=10 cm without applying any net torque on the wheel (you press from above and use plenty of water), what is the final rotational velocity of the potter's wheel? Model the wheel as a solid disk.

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