On a summer day, when the temperature outside is 30.0 °C, I hear a 7.50×10^2 Hz bell from the clock tower at URI, which I know is 2300. m away from my house.
a) Calculate the speed of sound in air on this day.
b) Calculate the wavelength of the sound.
c) Calculate how long, before I heard the sound, it had been emitted from the clock tower
a. V = 331m/s + 0.6m/s/Co * T
V = 331 + 0.6*30 = 349 m/s.
b. WL = V/F = 349/750 =
c. d = V*T,
2300 = 349T,
T =
wow
To calculate the speed of sound in air on this day, we can use the formula:
Speed of sound (v) = Frequency (f) × Wavelength (λ)
a) To calculate the speed of sound, we need to know the frequency. In this case, the frequency is given as 7.50×10^2 Hz. We can substitute this value into the formula:
v = (7.50×10^2 Hz) × λ
Now, we need to calculate the wavelength (λ). We can use the formula:
Wavelength (λ) = Speed of sound (v) / Frequency (f)
Since we don't know the speed of sound yet, we can rearrange the formula:
v = λ × f
b) To calculate the wavelength, we need to know the speed of sound. We can use the temperature to calculate the speed of sound using the equation:
v = 331.4 + 0.6T
where T is the temperature in Celsius. Substituting the given temperature of 30.0 °C into the equation:
v = 331.4 + 0.6(30.0 °C)
Now we can substitute the calculated speed of sound into the formula for the wavelength:
λ = v / f
c) To calculate how long before you heard the sound it had been emitted from the clock tower, we can use the formula:
Time (t) = Distance (d) / Speed of sound (v)
Given that the distance is 2300.0 m, we can substitute it into the formula:
t = 2300.0 m / v
Now we can substitute the calculated speed of sound to find the time.