# A 2.3 m -long string is fixed at both ends and tightened until the wave speed is 50 m/s . What is...

## Question:

A 2.3 m -long string is fixed at both ends and tightened until the wave speed is 50 m/s . What is the frequency of the standing wave?

## Standing Waves on Strings

The frequency of a standing wave on a string depends on both the length of the string *L* and the speed of the wave *v* as

$$f = \frac{v}{2L} $$

The speed of the wave itself depends on the tension in the string and the linear density. Higher tension results in higher speeds which result in higher frequencies and vice versa. This is why changing the tension on string instruments changes the pitches of the strings.

## Answer and Explanation: 1

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View this answerA string with length *L* = 2.3 m has is tightened so that the speed of the wave is *v* = 50 m/s. We want the frequency of this standing wave.

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Chapter 5 / Lesson 19Standing waves are a result of wave interference. Explore the lesson to learn about the properties of standing waves, find their formulas, and see some examples.

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