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?

1 answer

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.