To determine the maximum amplitude of a pendulum, you typically need to know either the initial displacement angle or the length of the pendulum. Without this information, it's not possible to provide a specific value for the maximum amplitude.
However, in a simple pendulum, the maximum amplitude is usually reached when the pendulum is released from its initial position, assuming no external forces are acting on it. In this case, the maximum amplitude would depend on the initial displacement angle from the equilibrium position and the length of the pendulum. The relationship between the initial displacement angle, length, and maximum amplitude can be described using the formula:
θ_max = acos(1 - (h / L))
where:
- θ_max is the maximum amplitude (displacement angle) in radians,
- h is the vertical distance between the equilibrium position and the initial release position,
- L is the length of the pendulum.
Without the necessary information, it is not possible to provide a specific value for the maximum amplitude.