Question

an object vibrates 61440 times in a minute. if the velocity of the sound in the air is 330m/s. find the frequency of the sound in hertz and the wave length

Answer 1

An object vibrates 61440 times in a minute. if the velocity of the sound in the air is $330\mathrm{m/s}$. find the frequency of the sound in hertz and the wave length

Frequency of the sound will be equal to the frequency of object:

$$f = \frac{61440}{1\mathrm{min}} = \frac{61440}{60\mathrm{s}} = 1024\mathrm{s}^{-1} = 1024\mathrm{Hz}$$

Wave length can be found from equation:

$$\lambda = \frac{c_s}{f}$$

Where $c_s$ - the speed of sound.

$$\lambda = \frac{330\mathrm{m/s}}{1024\mathrm{Hz}} \cong 0.322\mathrm{m}$$

Answer: $f = 1024\mathrm{Hz}, \lambda \cong 0.322\mathrm{m}$