Question

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, , 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. what is the change in air pressure when the pure tone is produced?

Answer 1

The change in air pressure when the pure tone is produced is mathematically given as

p(1/2000) =0 mP

What is the change in air pressure when the pure tone is produced?

This pressure is referred to as the atmospheric pressure, air pressure, or simply pressure. It is the force that is exerted on a surface by the air that is above it due to the gravitational pull that gravity has on the surface. A barometer is an instrument most often used to measure the pressure of the atmosphere. When the pressure in the atmosphere changes, a column of mercury contained inside a glass tube in a barometer will either rise or sink.

Generally, the equation for is pressure  mathematically given as

$p(t) =2sin (4000\pi t)$

Therefore

p(1/2000) =2sin (4000\pi *1/2000)

p(1/2000) = 2sin (2\pi)

p(1/2000) = 2*0

p(1/2000) =0 mP

In conclusion, the pressure

p(1/2000) =0 mP

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