---
title: "A student conducts an experiment to determine the local acceleration due to gravity, g, by measuring the period T of a simple pendulum for several different string lengths L. The student intends to linearize the data so that the value of g can be calculated from the slope of a best-fit line. Which of the following combinations of quantities, when plotted on the vertical and horizontal axes, would result in a linear graph with a slope S such that g = “4\\pi^2 / S”?"
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url: "https://nerd-notes.com/ubq/112317/"
date_modified: "2026-04-23T01:42:34+00:00"
---

# A student conducts an experiment to determine the local acceleration due to gravity, g, by measuring the period T of a simple pendulum for several different string lengths L. The student intends to linearize the data so that the value of g can be calculated from the slope of a best-fit line. Which of the following combinations of quantities, when plotted on the vertical and horizontal axes, would result in a linear graph with a slope S such that g = “4\pi^2 / S”?

A student conducts an experiment to determine the local acceleration due to gravity, g, by measuring the period T of a simple pendulum for several different string lengths L. The student intends to linearize the data so that the value of g can be calculated from the slope of a best-fit line. Which of the following combinations of quantities, when plotted on the vertical and horizontal axes, would result in a linear graph with a slope S such that g = "4\pi^2 / S"?

![A schematic of a simple pendulum. A string of length L is attached to a fixed ceiling. The string makes a small angle theta with the vertical dashed equilibrium line. A small spherical mass m is attached to the end of the string. An arched double-headed arrow at the bottom indicates the path of oscillation.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1776908554-LFHpbi.jpg)

- **A.** Vertical Axis: \( T^2 \); Horizontal Axis: \( L \)
- **B.** Vertical Axis: \( L \); Horizontal Axis: \( T^2 \)
- **C.** Vertical Axis: \( T \); Horizontal Axis: \( \sqrt{L} \)
- **D.** Vertical Axis: \( \sqrt{L} \); Horizontal Axis: \( T \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112317/*