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title: "An experiment is conducted to determine the local acceleration due to gravity, \\(g\\), using a simple pendulum executing small-amplitude oscillations. A student records the period of oscillation \\(T\\) for several different string lengths \\(L\\). To construct a linear graph from which \\(g\\) can be determined from the slope \\(S\\) of the best-fit line, which of the following identifies the quantities to plot on the vertical and horizontal axes and the correct expression for \\(g\\)?"
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url: "https://nerd-notes.com/ubq/120964/"
date_modified: "2026-08-23T04:44:48+00:00"
---

# An experiment is conducted to determine the local acceleration due to gravity, \(g\), using a simple pendulum executing small-amplitude oscillations. A student records the period of oscillation \(T\) for several different string lengths \(L\). To construct a linear graph from which \(g\) can be determined from the slope \(S\) of the best-fit line, which of the following identifies the quantities to plot on the vertical and horizontal axes and the correct expression for \(g\)?

An experiment is conducted to determine the local acceleration due to gravity, \(g\), using a simple pendulum executing small-amplitude oscillations. A student records the period of oscillation \(T\) for several different string lengths \(L\). To construct a linear graph from which \(g\) can be determined from the slope \(S\) of the best-fit line, which of the following identifies the quantities to plot on the vertical and horizontal axes and the correct expression for \(g\)?

- **A.** Vertical axis: \(T^2\), Horizontal axis: \(L\), \(g = 4\pi^2 S\)
- **B.** Vertical axis: \(T^2\), Horizontal axis: \(L\), \(g = \dfrac{4\pi^2}{S}\)
- **C.** Vertical axis: \(T\), Horizontal axis: \(\sqrt{L}\), \(g = \dfrac{2\pi}{S^2}\)
- **D.** Vertical axis: \(L\), Horizontal axis: \(T^2\), \(g = \dfrac{S}{4\pi^2}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120964/*