The main condition, for the simple version of the pendulum formula, is that the angle at which the pendulum moves to each side is quite small.
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The time period of a simple pendulum is calculated using the following conditions:
The length of an equivalent simple pendulum is the distance from the pivot point to the center of mass of the object in question. This length is important in calculating the period of oscillation for the system.
The formula for calculating the angular frequency of a simple pendulum is (g / L), where represents the angular frequency, g is the acceleration due to gravity, and L is the length of the pendulum.
The time period of a simple pendulum is determined by the length of the pendulum, the acceleration due to gravity, and the angle at which the pendulum is released. The formula for the time period of a simple pendulum is T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
The equation for the period (T) of a simple pendulum is T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.