Theory:

For Compound Pendulum with Uniform cross-section:
The time-period of the Compound Pendulum with uniform cross section is calculated using the following equation:

where,
tp is the Time-period of Vibration (s), and
L is the Length of the Pendulum (m).
tp is the Time-period of Vibration (s), and
L is the Length of the Pendulum (m).
For Compound Pendulum with non-uniform cross-section:
The time-period of the Compound Pendulum with non-uniform cross section is calculated using the following equation:

where,
tp is the Time-period of Vibration (s),
k is the radius of gyration (m), and
h is the distance between C.G. and the point of rotation (m).
tp is the Time-period of Vibration (s),
k is the radius of gyration (m), and
h is the distance between C.G. and the point of rotation (m).