The highest note on a piano is 4186 Hz Of strings with v = 425 m/s are used then the piano string be 5.076 cm.
What is the Wavelength?
Wavelength can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.It is the total length of the wave for which it completes one cycle.
For the given problem the highest note on the piano is 4186 Hz of string and velocity of the wave equal to 425 m/s are used
The Length of the string of piano is calculated by the formula as follows
L = v/2f
where L is the length of piano string
V is the velocity of the sound wave
f is the frequency of the sound waves
By substituting the respective values of velocity and frequency in the above formula
L= 425/2*4186
L= 0.0507 meter
L = 5.07 cm
Thus,the length of the piano string comes out to be 5.076 cm when the highest note on the piano is 4186 Hz of string with velocity 425 m/s are used.
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