A uniform, solid metal disk of mass $6\mathrm{.}60$ kg and diameter $26\mathrm{.}0$ cm hangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of $4\mathrm{.}28$ N tangent to the rim of the disk to turn it by $3\mathrm{.}33,$ thus twisting the wire. You now remove this force and release the disk from rest.

Part A

What is the torsion constant for the metal wire?

Express your answer in N$$m$/$rad$.$

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

$=$

nothing

N$$m$/$rad

Request$$Answer

Part B

What is the frequency of the torsional oscillations of the disk?

Express your answer with the appropriate units.

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

f $=$

nothingnothing

Request$$Answer

Part C

What is the period of the torsional oscillations of the disk?

Express your answer with the appropriate units.