QuestionMay 23, 2025

Which factor listed below has the greatest effect on the period of a pendulum? Angle of the pendulum Mass of the pendulum Length of the string Amplitude of the oscillations

Which factor listed below has the greatest effect on the period of a pendulum? Angle of the pendulum Mass of the pendulum Length of the string Amplitude of the oscillations
Which factor listed below has the greatest effect on the period of a pendulum?
Angle of the pendulum
Mass of the pendulum
Length of the string
Amplitude of the oscillations

Solution
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Answer

Length of the string Explanation 1. Identify the formula for the period of a pendulum The period T of a simple pendulum is given by **T = 2\pi \sqrt{\frac{L}{g}}**, where L is the length of the string and g is the acceleration due to gravity. 2. Analyze the factors From the formula, the period T depends on the length L of the string. The angle, mass, and amplitude do not appear in the formula, indicating they have negligible effects on the period for small angles.

Explanation

1. Identify the formula for the period of a pendulum<br /> The period $T$ of a simple pendulum is given by **$T = 2\pi \sqrt{\frac{L}{g}}$**, where $L$ is the length of the string and $g$ is the acceleration due to gravity.<br /><br />2. Analyze the factors<br /> From the formula, the period $T$ depends on the length $L$ of the string. The angle, mass, and amplitude do not appear in the formula, indicating they have negligible effects on the period for small angles.
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