Atorsion pendulum consists of an irregularly-shaped object of mass 20.0 kg suspended vertically by a wire of torsion constant 0.850 nm through its center of mass. if this pendulum oscillates through 69 cycles in 66.0 s, find the rotational inertia of the object.

Rotational inertia of the object is,

Explanation:

Given that,

Mass of the object, m = 20 kg

Torsion constant of the wire, K = 0.85 N-m

Number of cycles, n = 69

Time, t = 66 s

To find,

The rotational inertia of the object.

Solution,

There exists a relationship between the moment of inertia, time period and the torsion constant of the spring is given by :

Here I is the moment of inertia

T is the time period, and it is equal to the number of cycles per unit time

So, the rotational inertia of the object is .

answer: decibel

explanation:

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