Select the correct answer.
An audiometer is a machine that tests a person’s hearing by producing tones across the speech spectrum. During a hearing test, an audiometer produces a pure tone with a frequency of 2,000 hertz (cycles/second).
The given function represents the change in pressure, p(t) in millipascals, relative to the normal air pressure in the room as a function of time, t, in seconds, after the pure tone is produced.
p(t)=2\sin (4,000\pi t)
What is the change in air pressure when the pure tone is produced?
The change in air pressure when the pure tone is produced is given by the function p(t)=2*sin(4000πt).
To find the change in air pressure when the pure tone is produced, we need to evaluate the function at t = 0.
p(0) = 2*sin(4000π*0)
= 2*sin(0)
= 2*0
= 0
Therefore, the change in air pressure when the pure tone is produced is 0 millipascals.