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    • https://phys.libretexts.org/Bookshelves/University_Physics/Radically_Modern_Introductory_Physics_Text_I_(Raymond)/01%3A_Waves_in_One_Dimension/1.05%3A_Beats
      \[h(t)=\sin \left(\omega_{1} t\right)+\sin \left(\omega_{2} t\right)=2 \sin \left(\omega_{0} t\right) \cos (\Delta \omega t)\label{1.19}\] where we have used the above math trick, and where \(\omega_{...\[h(t)=\sin \left(\omega_{1} t\right)+\sin \left(\omega_{2} t\right)=2 \sin \left(\omega_{0} t\right) \cos (\Delta \omega t)\label{1.19}\] where we have used the above math trick, and where \(\omega_{0}=\left(\omega_{1}+\omega_{2}\right) / 2 \text { and } \Delta \omega=\left(\omega_{2}-\omega_{1}\right) / 2\). \[T_{\text {beat }}=\pi /|\Delta \omega|=2 \pi /\left|\omega_{2}-\omega_{1}\right|=1 /\left|f_{2}-f_{1}\right|\label{1.20}\]
    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/12%3A_Waves/12.11%3A_Beats
      As the piano tuner tunes the string, the beats have a lower frequency as the frequency of the note played approaches the frequency of the tuning fork. What is the beat frequency produced when a tuning...As the piano tuner tunes the string, the beats have a lower frequency as the frequency of the note played approaches the frequency of the tuning fork. What is the beat frequency produced when a tuning fork of a frequency of 256 Hz and a tuning fork of a frequency of 512 Hz are struck simultaneously? The particles can be modeled as a “wave packet” that results from the superposition of various waves, where the particle moves at the “group velocity” of the wave packet.
    • https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/17%3A_Sound/17.07%3A_Beats
      When two sound waves that differ in frequency interfere, beats are created with a beat frequency that is equal to the absolute value of the difference in the sound wave frequencies.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Calculus-Based_Physics_(Schnick)/Volume_A%3A_Kinetics_Statics_and_Thermodynamics/32A%3A_Beats_The_Doppler_Effect
      If a single frequency sound source is coming at you at constant speed, the pitch (frequency) you hear is higher than the frequency of the source. How much higher depends on how fast the source is comi...If a single frequency sound source is coming at you at constant speed, the pitch (frequency) you hear is higher than the frequency of the source. How much higher depends on how fast the source is coming at you. Folks make the mistake of thinking that the pitch gets higher as the source approaches the receiver. That would be the case if the frequency depended on how close the source was to the receiver. It doesn’t. The frequency stays the same. The Doppler Effect is about velocity, not position.
    • https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/16%3A_Sound/16.07%3A_Beats
      When two sound waves that differ in frequency interfere, beats are created with a beat frequency that is equal to the absolute value of the difference in the sound wave frequencies.

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