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A sound wave has a frequency of 711 Hz in air and a wavelength of 0.51 m.
What is the temperature of the air?
Relate the speed of sound in air to temperature in units of Kelvin, but answer in units of Celsius.
Assume the velocity of sound at 0°C is
332 m/s.
Answer in units of degC.

Respuesta :

MathPhys

Answer:

52.7 °C

Explanation:

Speed of a wave is frequency times wavelength.

v = fλ

v = (711 Hz) (0.51 m)

v = 362.61 m/s

Speed of sound in air is:

v = 332 m/s √(T / 273.15 K),

where T is temperature in Kelvin.

Solving for T:

362.61 = 332 √(T / 273.15)

1.092 = √(T / 273.15)

1.193 = T / 273.15

T = 325.84 K

T = 52.7 °C

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