Suppose you are stopped for a traffic light, and a fast ambulance approaches you from behind with a speed of 34.0 m/s. The siren on the ambulance produces sound with a frequency of 960 Hz. The speed of sound in air is 343 m/s. What is the wavelength of the sound reaching your ears?
f=f₀/{1 – (v/u)}=960/{1- (34/343)} =
=1065 Hz
You forgot to finish the problem.
speed of sound / frequency = wavelength:
343 m/s / 1065Hz = 0.32187 m
To find the wavelength of the sound reaching your ears, you can use the formula:
wavelength = speed of sound / frequency
Given:
Speed of sound in air (v) = 343 m/s
Frequency of the siren (f) = 960 Hz
Let's calculate the wavelength:
wavelength = 343 m/s / 960 Hz
wavelength = 0.357 m
Therefore, the wavelength of the sound reaching your ears is 0.357 meters.
To find the wavelength of the sound reaching your ears, we can use the formula:
wavelength = speed of sound / frequency
First, let's calculate the speed of sound relative to you. Since you are stopped, there is no relative motion between you and the air. Therefore, the speed of sound relative to you is also 343 m/s.
Now, we can use the given frequency of 960 Hz and the speed of sound relative to you (343 m/s) to calculate the wavelength.
wavelength = 343 m/s / 960 Hz
To divide by Hz, we need to convert Hz to 1/s. Since 1 Hz = 1/s, we can rewrite the equation as:
wavelength = 343 m/s / 960 1/s
Now, we can divide 343 m/s by 960 1/s to get the wavelength:
wavelength = 0.357 m
Therefore, the wavelength of the sound reaching your ears is approximately 0.357 meters.