The air temperature on a certain day is 86 degrees F
A)Convert to Celsius?
B) Calculate the sound of speed in air?
C)When a 653Hz tornado siren is turned on, the sound takes 2.3s to reach an observer. How far is the observer from the main siren, and what is the wavelength of sound produced?
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c = (5/9)(F-32)
c = (5/9)(86-32) = 30 deg C
I do not know what you are using, perhaps:
V = 331.4 + .6 C
V = 331.4 + .6(30) = 349.4 m/s
d = 349.4 * 2.3 = 804 meters
period = 1/653
lambda = 349.4 * 1/653 = .535 meter
A) To convert the air temperature from Fahrenheit (°F) to Celsius (°C), you can use the formula:
°C = (°F - 32) / 1.8
Using this formula, let's calculate:
°C = (86 - 32) / 1.8
°C = 54 / 1.8
°C ≈ 30
Therefore, the air temperature on that day is approximately 30°C.
B) To calculate the speed of sound in air, you can use the formula:
Speed of Sound = 331.4 + (0.6 * Temperature in Celsius)
Since we already know the temperature in Celsius from the previous calculation, let's use it to determine the sound speed:
Speed of Sound = 331.4 + (0.6 * 30)
Speed of Sound = 331.4 + 18
Speed of Sound ≈ 349 meters per second (m/s)
Therefore, the speed of sound in the air on that day is approximately 349 m/s.
C) To determine the distance from the observer to the main siren and the wavelength of sound produced, we need to use the formula:
Speed of Sound = Frequency * Wavelength
Given that the speed of sound in air is approximately 349 m/s and the frequency of the tornado siren is 653 Hz, we can rearrange the formula to solve for the wavelength:
Wavelength = Speed of Sound / Frequency
Wavelength = 349 / 653
Wavelength ≈ 0.534 m
Therefore, the distance from the observer to the main siren is not given with the information provided. However, the wavelength of sound produced by the siren is approximately 0.534 meters.