A piano emits frequencies that range from a
low of about 28 Hz to a high of about 4200
Hz.
Find the maximum wavelength in air attained by this instrument when the speed of
sound in air is 336 m/s.
Answer in units of m
max wavelength is at low freq
28*wavelength=336
solve for wavelenght in meters.
To find the maximum wavelength in air emitted by the piano, we can use the formula:
wavelength = speed of sound / frequency
Given that the speed of sound in air is 336 m/s and the maximum frequency emitted by the piano is 4200 Hz, we can plug these values into the formula:
wavelength = 336 m/s / 4200 Hz
To convert Hz to s^(-1), we divide by 1 Hz:
wavelength = 336 m/s / (4200 s^(-1))
Simplifying the units:
wavelength = 0.08 m
Therefore, the maximum wavelength in air emitted by the piano is 0.08 m.
To find the maximum wavelength in air emitted by the piano, we need to determine the frequency that corresponds to this maximum wavelength.
The formula to calculate the wavelength (λ) is given by:
λ = v/f
Where:
λ = wavelength (in meters)
v = speed of sound in air (in meters per second)
f = frequency (in hertz)
In this case, we are given the speed of sound in air (v = 336 m/s).
The maximum frequency emitted by the piano is 4200 Hz. To find the corresponding wavelength, we plug these values into the formula:
λ = 336 m/s / 4200 Hz
Simplifying, we have:
λ = 0.08 m
Therefore, the maximum wavelength in air attained by the piano is 0.08 meters.