How far can Tarzan jump?

TL;DR

This paper analyzes the mechanics of a Tarzan-style swing to determine how far Tarzan can jump, using elementary physics principles to model the pendulum-like motion and landing distance.

Contribution

It provides an introductory analytical framework for understanding the physics of large pendulum swings with a person attached, enabling calculations of jump distance.

Findings

Derives equations for swing motion and jump distance

Provides a basis for further numerical investigations

Highlights the physics principles involved in swing dynamics

Abstract

The tree-based rope swing is a popular recreation facility, often installed in outdoor areas, giving pleasure to thrill-seekers. In the setting, one drops down from a high platform, hanging from a rope, then swings at a great speed like "Tarzan", and finally jumps ahead to land on the ground. The question now arises: How far can Tarzan jump by the swing? In this article, I present an introductory analysis of the Tarzan swing mechanics, a big pendulum-like swing with Tarzan himself attached as weight. The analysis enables determination of how farther forward Tarzan can jump using a given swing apparatus. The discussion is based on elementary mechanics and, therefore, expected to provide rich opportunities for investigations using analytic and numerical methods.