The sound source of a ship’s sonar system operates at a frequency of 22.0 kHz. The speed of the sound wave emitted by the source in sea water is 1510 m/s. What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling directly toward the ship at 4.95 m/s

Respuesta :

Answer:

[tex]\Delta f= 144.71KHz[/tex]

Explanation:

We define two formulas. Firt for the stationary object and then for the shpo,

The frequency formula for the stationary is,

[tex]f_{Lr}=\frac{V+V_w}{V}f^1\\f_{S}=\frac{V}{V-V_w}f^2[/tex]

We need to find the difference or the rate of the relevant frequencies, that is

[tex]\Delta f= f_{Lr}-f_S\\\Delta=f\frac{2V_w}{V-V_w}[/tex]

With the dates that we have, we only make a substitution,

[tex]f=22 KHz\\V_w = 4.95m/s\\V= 1510m/s[/tex]

[tex]\Delta f= (22.0KHz)(\frac{2(4.95)}{1510-4.95})[/tex]

[tex]\delta f= 144.71KHz[/tex]

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