Question

A rope is vibrating so as to form the standing wave pattern shown at the right. 1.How many nodes are present in the rope?2.What harmonic is shown in the pattern?3.A guitar string has a fundamental frequency of 120 Hz. What is the frequency of the third harmonic of the string?

Answer 1

We will have the following:

1. There are 5 nodes.

2. The harmonic shown is the 4th harmonic.

3. We will detemrine the 3rd harmonic as follows:

`\lambda_3=(3)/(2)(120Hz)\Rightarrow\lambda_3=180Hz`