Help with an equation about waves and wavelengths

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SUMMARY

The discussion focuses on calculating the wavelength and speed of a standing wave on a taut string vibrating at a frequency of 350 Hz. Given that the string is 1 meter long with 6 antinodes, it is established that there are 3 wavelengths fitting within the string's length. The wavelength is determined to be 1/3 meter, resulting in a wave speed of 116.666 m/s when calculated using the formula wave speed = frequency × wavelength.

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  • Understanding of standing waves and antinodes
  • Knowledge of wave speed, frequency, and wavelength relationships
  • Familiarity with basic physics equations related to waves
  • Concept of fixed boundary conditions in vibrating strings
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  • Learn about the relationship between frequency, wavelength, and wave speed
  • Explore the concept of nodes and antinodes in wave mechanics
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1. A standing wave is set up on a taut string. The string is vibrated at a frequency of 350 Hz. The string is 1 m long and a total of 6 antinodes are counted along its length. What is the wavelength of the standing wave? And what is the speed of the wave in the string?



2.I'm unsure of relevant equations



3. I haven't made an attempt at the equation as its midterm and I just joined the Physics class.

All help is appreciated!
 
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A point to be noted is that, in a vibrating string both ends of the string are fixed creating displacement nodes at those points.Now, the question says that there are 6 antinodes present on the string. So,the waves in vibrating string will contain 3 fundamental waves.
so,
3*wavelength=length of string
wav.=1/3 m
freq.=350 hz
so,
wave vel.=freq.*wavelength=116.666hz
 

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