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Consider an aluminum annular disk with an outer radius 63.2 mm and inner radius 7.9 mm....

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Physics

Consider an aluminum annular disk with an outer radius 63.2 mmand inner radius 7.9 mm. The mass of the disk is 464 grams(HINT: the parameters of the disk are the same asin the previous pre-lab).

The disk is allowed to rotate on a frictionless table with therotation axis at its center. The disk has a small pulley rigidlymounted at the top concentrically. The pulley's radius is 12.1 mm,and the mass of the pulley is negligible. A string is wrappedaround the pulley, and a hanging mass of 19.8 g is tied at theother end of the string. When the mass falls under gravity, itcauses the aluminum annular disk to rotate. Ignore the string'smass, and assume that the string's motion is frictionless.

What is the angular speed of the aluminum disk when the mass hasfallen 14.5 cm?
ω = _____ rad/s

How long does it take for the mass to reach this point?

t= _____s

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