# If a string fixed at both ends is vibrating at a frequency of 4.61 Hz and the distance between...

## Question:

If a string fixed at both ends is vibrating at a frequency of 4.61 Hz and the distance between two successive nodes is 0.293 m, what is the speed of the waves on the string?

## Transverse wave on a string

A transverse wave on a string of wavelength {eq}\lambda {/eq} and frequency {eq}\nu {/eq} can be represented as:

{eq}y \ = \ A \sin (k x \ + \ \omega t ) {/eq}

Where:

{eq}A {/eq} - is the amplitude

{eq}\omega \ = \ 2 \pi \times \nu {/eq} - is the angular frequency

{eq}k \ = \ \dfrac{2 \pi}{\lambda} {/eq} - is the wave number

The speed of the wave {eq}v {/eq}, its frequency {eq}\nu {/eq} and wavelength {eq}\lambda {/eq} are related as: {eq}v \ = \ \nu \times \lambda {/eq}

## Answer and Explanation: 1

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View this answer**Given**:

- Frequency of oscillation: {eq}\nu \ = \ 4.61 \ H z {/eq}

- Distance between two nodes: {eq}d \ = \ 0.293 \ m {/eq}

If the wavelength of the...

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Chapter 26 / Lesson 2Learn what a transverse wave is. Discover the difference between transverse vs. longitudinal waves, examine parts of waves, and study transverse wave examples.

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