Someone is blowing over the top of a water bottle creating a noise. If the bottle is 0.3m tall and has 0.1m of water in it, find the following (assume the speed of sound is 340m/s)
To find the answer, we need to consider the relationship between the speed of sound and the height of the water column. The speed of sound in any medium, including air, is given by the equation:
v = f * λ
where:
v = speed of sound
f = frequency of the sound wave
λ = wavelength of the sound wave
Given that the speed of sound is 340 m/s, we need to find the frequency of the sound wave produced by blowing over the top of the water bottle.
The frequency of a sound wave produced by a vibrating object is related to its length or height by the equation:
f = v / λ
where:
f = frequency of the sound wave
v = speed of sound
λ = wavelength of the sound wave
In this case, the height of the water column is 0.1m, so the wavelength can be calculated as:
λ = 2 * h
where:
λ = wavelength of the sound wave
h = height of the water column
Substituting the given values:
λ = 2 * 0.1m
= 0.2m
Now, we can substitute the values of speed of sound (v = 340 m/s) and wavelength (λ = 0.2m) into the equation to find the frequency (f) of the sound wave:
f = v / λ
= 340 m/s / 0.2m
= 1700 Hz
Therefore, the frequency of the sound wave produced by blowing over the top of the water bottle is 1700 Hz.