A sound signal of 128 vibration per second has a wavelength of 2.7 m . Calculate the speed with which the wave travels.?

Question

Answer

Frequency = velocity/wavelength ,
velocity= frequency×wavelength,
128×2.7=345.6,
speed=345.6

Answer

Answer

Answer is 345.6 speed.

Answer

Given:
- Frequency (f) = 128 vibrations per second
- Wavelength (λ) = 2.7 m

To find:
- Speed of the wave (v)

Formula:
- Speed of wave (v) = Frequency (f) x Wavelength (λ)

Solution:
To calculate the speed of the wave, we can use the formula mentioned above. The speed of a wave is the distance traveled by the wave per unit time.

Substituting the given values into the formula:
v = f x λ
= 128 vibrations per second x 2.7 m
= 345.6 m/s

Therefore, the speed at which the wave travels is 345.6 m/s.

Explanation:
- Sound is a form of mechanical wave that travels through a medium, such as air or water. It is characterized by its frequency and wavelength.
- Frequency is the number of vibrations or cycles of a wave that occur in one second. It is measured in units of hertz (Hz).
- Wavelength is the distance between two consecutive points of a wave that are in phase, such as two consecutive compressions or rarefactions. It is measured in units of meters (m).
- The speed of a wave is the distance traveled by the wave per unit time. It can be calculated by multiplying the frequency of the wave by its wavelength.
- In this case, the given sound signal has a frequency of 128 vibrations per second and a wavelength of 2.7 m.
- By substituting these values into the formula, we can find that the speed of the wave is 345.6 m/s.
- This means that the wave travels a distance of 345.6 meters in one second.

Summary:
The speed of the sound wave with a frequency of 128 vibrations per second and a wavelength of 2.7 meters is calculated to be 345.6 m/s.

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