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The middle-C hammer of a piano hits two strings, producing beats of 1.50 Hz. One of the strings is tuned to 260.00 Hz. What frequencies could the other string have?

Respuesta :

Olajidey

Answer:

f₂ = 261.5Hz  or 258.5Hz

Explanation:

The beat frequency = /f₁ - f₂/

where f₁ and f₂ are the frequencies of individua waves

f(beat) = 1.5Hz

f₁( frequency of one string) = 260Hz

f(beat) = /f₁ - f₂/

1.5Hz = /260Hz - f₂/

to solve this equation

we make it into two seprate equation and solve it separately

260Hz - f₂ = 1.5Hz

f₂ = 260Hz - 1.5Hz

  = 258.5Hz

260Hz - f₂ = -1.5Hz

f₂ = 260Hz + 1.5Hz

   = 261.5Hz

therefore, the two possible frequencies of the other strings are

f₂ = 258.5Hz or  261.5Hz

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