jellygabi
contestada

The lowest note on a piano is
27.5 Hz. To fit inside the piano,
the string for the low note can't be
longer than 1.20 m. If it takes the
full length, what is the speed of
the wave in the string?
(Unit = m/s)

Respuesta :

If it takes the  full length, the speed of  the wave in the string will be 66m/s

The formula for calculating the velocity of the wave in the string is expressed as:

[tex]v=f \lambda[/tex] ........ 1

For fundamental frequency (lowest note)

[tex]\lambda =2L[/tex] ...... 2

where

L is the length of the string

λ is the wavelength

f is the frequency

Substitute equation 2 into 1

v = 2Lf

Given the following:

L = 1.20m

f = 27.5Hz

v = 2 * 1.2 * 27.5

v = 66m/s

Hence if it takes the  full length, the speed of  the wave in the string will be 66m/s

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