Atorsional pendulum consists of a disk of mass 450 g and radius 3.5 cm, hanging from a wire. if the disk is given an initial angular speed of 2.7 rad/s at its equilibrium position and oscillates with a frequency of 2.5 hz, what is its maximum angular displacement?

To solve this problem we will use the kinematic equations of angular motion, starting from the definition of angular velocity in terms of frequency, to verify the angular displacement and its respective derivative, let's start:

The angular displacement is given as the form:

In the equlibrium we have to and in the given position we have to

Derived the expression we will have the equivalent to angular velocity

Replacing,

Finally

Therefore the maximum angular displacement is 9.848°

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