4.6 - More about Stationary waves on strings Flashcards
when is the first harmonic pattern of vibration seen
at the lowest possible frequency that gives this pattern
what are the wavelengths of the waves that form this first harmonic
lambda = 2L
therefore frequency = c/2L
what are the wavelengths of waves that form the second harmonic
lambda = L because each loop has half the wavelength as the first harmonic
f2= c/L = 2f1
what are the wavelengths that form from the third harmonic
the wavelength is a fire of the distance
therefore lambda =2/3 L
f3=3c/2L = 3f1
how stationary waves are formed on a vibrating string
what is the time taken for the wave to travel along the string and back equal to
the time taken for a whole number of cycles of the vibrator
the time taken for a wave to travel along the string and back
2L/c
the time taken for the vibrator to pass through a whole number of cycles
m/f
m is whole number
f is frequency of the cycles
what does 2l/c =
m/f
length of the vibrating section on a string =
m lambda /2
what does the pitch of a note correspond to
its frequency
high pitch =
high frequency
low pitch =
low frequency
low amplitude =
quiet
high amplitude =
loud
how can the pitch of a note from a stretched string be altered
by changing the tension of the string by altering is length
what does raising the tension or shortening then length do
increases the pitch
what does lowering the tensions and increase do
lowers the pitch
what does a sound from a vibrating string include
all the harmonic frequencies
what does the sound from a tuning fork include
vibrates only at a single frequency
when is a wire tuned
when its first harmonic frequency is the same as the tuning fork frequency
what does the first harmonic frequency depend on
the tension in the wire and its mass per unit length
f=1/2l*rootT/u
u= mass per unit length
