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A wave along a guitar string has a frequency of 540 Hz and a wavelength of 4.3 m. Calculate the velocity of the wave.

User Jcupitt
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2 Answers

1 vote

Answer:

V = 2322 M/s.

Step-by-step explanation:

Wave velocity in common usage refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.

Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave speed when wavelength and frequency are known.

For the calculation, use ( v= w × f) to figure out the velocity, there “w” is the wavelength, “f” is the frequency of the source, “c” is the constant speed of sound and “v” is the partcal velocity or waves velocity.

Lambda (uppercase/lowercase Λ λ), is the letter of the Greek alphabet, used to represent the "l" sound in Ancient and Modern Greek. In the system of Greek numerals, it has a value of 30. Letters that came from it include the Roman L and Cyrillic Л. It is used as shorthand as a symbol for wavelength.

- This is industry standard

V = f(λ)

V = 540(4.3)

V = 2322

User Andrew Leach
by
4.5k points
3 votes

Answer:

Velocity of wave = 2322 m /sec

Step-by-step explanation:

We know that, Velocity of wave v = n λ

Given, n = 540 Hz, λ=4.3 m , v = ?

Putting the value of n and λ

Velocity of wave = 540 x 4.3 = 2322 m /sec

User UpwardD
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5.4k points