Related questions with answers

A violinist is tuning her instrument to concert A $(440 \mathrm{~Hz})$ . She plays the note while listening to an electronically generated tone of exactly that frequency and hears a beat frequency of $3 \mathrm{~Hz}$ , which increases to $4 \mathrm{~Hz}$ when she tightens her violin string slightly.
(b) To get her violin perfectly tuned to concert $\mathrm{A}$ , should she tighten or loosen her string from what it was when she heard the $3$ - $\mathrm{Hz}$ beats?

Rolls Royce manufactures aircraft engines for international airlines, such as Emirates and Cathy Pacific. The engines are produced individually using quality assurance methods. New engines are checked at every part of the production process and also an additional inspection is carried out at various stages in the process. Rolls Royce uses a form of TQM where every employee is responsible for ensuring quality, but in addition to this it also has specially trained employees to carry out further checks on the engines to be certain of zero defects. Why is producing a high quality product important to Rolls Royce?

A siren emitting a sound of frequency $1000$ $\mathrm{Hz}$ moves away from you toward a cliff at a speed of $10.0$ m/s. (a) What is the frequency of the sound you hear coming directly from the siren? (b) What is the frequency of the sound you hear reflected off the cliff? (c) Find the beat frequency. Could you hear the beats? Take the speed of sound in air as $330$ m/s.

Question

Two tuning forks are producing sounds of wavelength $34.40 \mathrm{~cm}$ and $33.94 \mathrm{~cm}$ simultaneously. How many beats do you hear each second?

Solution

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When two sound waves with different frequencies are sound together, a slow pulsing occur called beats. The difference between these two frequencies result to the beat frequency, $f_{\text{beat}} = f_1 - f_2$ .

We note that we can express the frequency $f$ in terms of the wavelenght and the speed of the sound wave, $f = \dfrac{v}{\lambda}$ . We solve for $f_1$ and $f_2$ .