Auniform, solid metal disk of mass 6.10 kgkg and diameter 30.0 cmcm hangs in a horizontal plane, supported at its center by a vertical metal wire. you find that it requires a horizontal force of 4.29 nn tangent to the rim of the disk to turn it by 3.40 ∘∘, thus twisting the wire. you now remove this force and release the disk from rest.

10.84406 Nm/rad

0.068625 kgm²

2.00066 rad/s

0.49983 s

Explanation:

F = Force = 4.29 N

R = Radius =

= Angle =

m = Mass of disk = 6.1 kg

Torsional constant is given by

The torsion constant is 10.84406 Nm/rad

Moment of inertia is given by

The moment of inertia is 0.068625 kgm²

Frequency is given by

The frequency is 2.00066 rad/s

Time period is given by

The time period is 0.49983 s

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