A bottle of tea as a universal Helmholtz resonator

TL;DR

This paper demonstrates a simple, low-cost method to emulate a universal Helmholtz resonator using a smartphone and a tea bottle, enabling real-time analysis of resonance frequencies.

Contribution

It introduces an accessible experimental setup that mimics a universal Helmholtz resonator, allowing real-time spectral analysis with common devices.

Findings

Resonance frequencies can be effectively measured using a smartphone.

A tea bottle can serve as a universal Helmholtz resonator.

Real-time spectral analysis is feasible with this setup.

Abstract

Resonance is an ubiquitous phenomenon present in many systems. In particular, air resonance in cavities was studied by Hermann von Helmholtz in the 1850s. Originally used as acoustic filters, Helmholtz resonators are rigid-wall cavities which reverberate at given fixed frequencies. An adjustable type of resonator is the so-called universal Helmholtz resonator, a device consisting of two sliding cylinders capable of producing sounds over a continuous range of frequencies. Here we propose a simple experiment using a smartphone and normal bottle of tea, with a nearly uniform cylindrical section, which, filled with water at different levels, mimics a universal Helmholtz resonator. Blowing over the bottle, different sounds are produced. Taking advantage of the great processing capacity of smartphones, sound spectra together with frequencies of resonance are obtained in real time.