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We know velocity of sound v=a₩(omega), but speed does not depend on amplitude, why?

User Share
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The amplitude of a wave does not affect the speed at which the wave travels. The speed of a wave is only altered by alterations in the properties of the medium through which it travels.
Here’s some fun facts:
The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound.
User Mohammad Kashem
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