Final answer:
The frequency of the A note above Middle C, with a given wavelength of 0.77 meters and using the speed of sound 340 m/s, is calculated to be approximately 441.56 Hz.
Step-by-step explanation:
To find the frequency of the wave emitted by the note A above Middle C on a piano when the wavelength is known, the formula for the speed of sound can be used: v = f × λ, where v is the speed of sound, f is the frequency, and λ is the wavelength. Given the speed of sound as 340 m/s and the wavelength as 0.77 meters, the frequency f can be calculated by rearranging the formula to f = v / λ.
Frequency calculation:
f = 340 m/s / 0.77 m = 441.56 Hz
The frequency of the A note emitted is approximately 441.56 Hz.