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Consider a stainless steel annular disk with an outer radius 66 mm and inner radius 7.1 mm. The mass of the disk is 1351 grams. Keep your answers to at least 4 significant digits. The stainless steel annular disk is allowed to rotate on a frictionless table with the rotation axis at its center. The disk has a small cylinder rigidly mounted at the top concentrically. The cylinder's radius is 12.4 mm, and the mass of the cylinder is negligible. A string is wrapped around the cylinder, and a hanging mass of 20.2 g is tied at the other end of the string. When the mass falls under gravity, it causes the stainless steel annular disk to rotate. Ignoring the string's mass, and assuming that the string's motion is frictionless, what is the angular acceleration of the stainless steel annular disk?

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