Question

Скорость распространения упругой волны в воздухе при нормальных условиях равна 330 м/с. Определите длину этой волны, если её источник колеблется с периодом 0,1 с?

Answer 1

V=330 м/с    Т=0,1 с    λ=?
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λ=V*T=330*0.1=33 м
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Answer 2

Calculation of the Wavelength of an Elastic Wave in Air

To determine the wavelength of an elastic wave in air, we can use the formula:

Wavelength (λ) = Speed of Wave (v) / Frequency (f)

Given that the speed of the wave in air under normal conditions is 330 m/s and the period of the wave is 0.1 s, we can calculate the frequency using the formula:

Frequency (f) = 1 / Period (T)

Let's calculate the frequency first:

Frequency (f) = 1 / 0.1 s = 10 Hz

Now, we can substitute the values of the speed of the wave and the frequency into the wavelength formula:

Wavelength (λ) = 330 m/s / 10 Hz = 33 m

Therefore, the wavelength of the elastic wave in air, given the provided conditions, is 33 meters.

Please note that the calculations are based on the assumption that the wave is a simple harmonic wave and that the speed of sound in air is constant under normal conditions.