Question
Does the period of a pendulum depend on the mass of the bob? On the length of the string?
Step 1
Step 1: The period of a pendulum is given by the formula $T = 2\pi\sqrt{\frac{L}{g}}$, where $T$ is the period, $L$ is the length of the pendulum, and $g$ is the acceleration due to gravity. Show more…
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The period (time for a complete oscillation) of a simple pendulum depends on the pendulum's length $L$ and the acceleration of gravity $g .$ The dimensions of $L$ are $L$, and the dimensions of $g$ are $L / T^{2}$. Apart from dimensionless factors, how does the period of the pendulum depend on $L$ and $g$ ?
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