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13 February, 14:01

An audiometer produces a pure tone with a frequency f of 1200 hertz (cycles per second). The maximum pressure P produced from the pure tone is 5 millipascals. Write a sine model that gives the pressure P as a function of the time t (in seconds). Assume P=0 when t=0.

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  1. 13 February, 14:27
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    Answer: Pressure (t) = 5mP*sin (191.08*t)

    Step-by-step explanation:

    The information we have:

    Maximum pressure P = 5 mP

    frequency = 1200Hz

    Period = 1/frequency = (1/1200) seconds

    when t = 0, P = 0, so we should use a sin function (because sin (0) = 0)

    Then we can write this as:

    Pressure (t) = P*sin (c*t)

    where t is time in secnds, P is the maximum pressure 5mP, and c is a constant that depends on the period.

    Pressure (t) = 5*sin (c*t)

    knowing that the period is 1/1200 seconds, we have that:

    c*1/1200 s = 2*3.14

    c = 1200 / (2*3.14) 1/s = 600/3.14 1/s

    Our function is

    Pressure (t) = 5mP*sin (191.08*t)
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