An oscillator vibrating at 1270 Hz produces a sound wave that travels through an ideal gas at 325 m/s when the gas temperature is 22.0 ∘C. F

Question

An oscillator vibrating at 1270 Hz produces a sound wave that travels through an ideal gas at 325 m/s when the gas temperature is 22.0 ∘C. For a certain experiment, you need to have the same oscillator produce sound of wavelength 28.5 cm in this gas What should the gas temperature be to achieve this wavelength?

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Helga 3 years 2021-09-04T15:23:27+00:00 2 Answers 172 views 0

Answers ( )

  1. ngochoa
    0
    2021-09-04T15:24:32+00:00
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    Explanation:

    Below is an attachment containing the solution.

  2. Doris
    0
    2021-09-04T15:25:11+00:00
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    Answer:

         T = 53.44 ° C

    Explanation:

    For this exercise we will use the relationship between the speed of sound and the wavelength and frequency

              v = λ f

              v = 0.285 1270

              v = 361.95 m / s

    The speed of sound is related to temperature in degrees Celsius

              v = 331 √(1 + T / 273)

              v² / 331² = 1 + T / 273

              T / 273 = v² / 331² -1

                T = 273 (v² / 331² -1)

                 

    Let’s calculate

            T = 273 (361.95²/331² -1)

            T = 53.44 ° C

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