A sound is traveling through air with a temperature of 35 0C. The sound wave has a wavelength of 0.75 meters. What is the frequency of the sound?
How do I calculate this problem?
Idkkk
To calculate the frequency of a sound wave, you can use the formula:
f = v / λ
where:
- f represents the frequency of the sound wave (measured in hertz, Hz)
- v represents the velocity of sound in the medium (in this case, air) at a given temperature
- λ (lambda) represents the wavelength of the sound wave
To calculate the velocity of sound in air at a given temperature, you can use the following approximation:
v = 331.5 + (0.6 * T)
where:
- v represents the velocity of sound in meters per second (m/s)
- T represents the temperature in degrees Celsius (°C)
Now let's calculate the frequency of the sound wave using the given values:
1. Convert the temperature from Celsius to Kelvin:
- Add 273 to the temperature in Celsius: 35°C + 273 = 308K
2. Calculate the velocity of sound in air at the given temperature:
v = 331.5 + (0.6 * T)
v = 331.5 + (0.6 * 308)
v ≈ 331.5 + 184.8
v ≈ 516.3 m/s
3. Calculate the frequency of the sound wave using the velocity and wavelength:
f = v / λ
f ≈ 516.3 / 0.75
f ≈ 688.4 Hz
Therefore, the frequency of the sound wave is approximately 688.4 Hz.