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

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

The disk is allowed to rotate on a frictionless table with the rotation axis at its center. The disk has a small pulley rigidly mounted at the top concentrically. The pulley's radius is 12.1 mm, and the mass of the pulley is negligible. A string is wrapped around the pulley, and a hanging mass of 19.8 g is tied at the other end of the string. When the mass falls under gravity, it causes the aluminum annular disk to rotate. Ignore the string's mass, and assume that the string's motion is frictionless.

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

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

t= _____s

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Expert Solution

genius_generous answered 1 year ago

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