A vuvuzela is a plastic horn about 2 feet long and is used during soccer matches in South Africa. If the sound level of the vuvuzela
is 120 decibels from 1 meter away, the sound pressure is 20 pascals,
A function of the sound pressure Pin pascals from the sound wave
of a vuvuzela as a function of time t in seconds is approximately
P(t) = 20 sin(1464.6121)
a. Identify the amplitude and period of the sound wave,
Explain your findings
b. Use the period of the function to find the frequency of
the sound in hertz (Hz). The table shows the notes and
frequency of a section of a piano's keyboard. What is the note
that the vuvuzela plays? Explain.
Note
Middle C
B
B-flat
Frequency (Hz)
261.626
246.942
233,082
220
207.652
195.998
184.997
А
A-flat
G
G-flat
C. A piano tuner strikes a tuning fork for middle A, which
has a frequency 440 Hz, at 80 decibels from 1 meter away,
or a sound pressure of 0.2 pascal. What is an equation that
represents the sound pressure Pin pascals as a function of
timet in seconds? Show
your
work