contestada

A sounding body vibrating at 400 hz is moving away from someone who hears a pitch corresponding to 380 hz. if the speed of sound in air is 330 m/s, what is the speed of the sounding body?

Respuesta :

The speed of the sounding body will be 347.36 m/sec.

What is the frequency of the sound?

A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.

The given data in the problem is;

v₂ is the speed of the sounding body

f₂ is the frequency of the sounding body

λ is the wavelength of the wave

The relationship between the wave's wavelength, frequency, and speed is given as

wavelength = speed of wave / frequency

The wavelength of the wave is constant;

[tex]\rm \lambda= \frac{v}{f} \\\\ \frac{v_1}{f_1} = \frac{v_2}{f_2} \\\\ \frac{330 \ m/sec }{380 \ Hz} = \frac{ v_2}{400 \ Hz} \\\\ v_2 = 347.36 \ m/sec[/tex]

Hence, the speed of the sounding body will be 347.36 m/sec.

To learn more about the frequency of the sound refer to the link;

https://brainly.com/question/1435829

#SPJ1