You are driving at 25 m/s when an ambulance passes you and pulls into your lane, just in front of you, and speeds ahead at 35 m/s. The ambulance driver hears a siren sound of 850 Hz. What frequency do you hear

Respuesta :

Answer:

The value is  [tex]f_1 = 828 \ Hz[/tex]

Explanation:

From the question we are told that

    The speed is [tex]v = 25 \ m/s[/tex]

     The speed of the ambulance is [tex]u = 35 \ m/ s[/tex]

     The frequency of the siren is  [tex]f = 850 \ Hz[/tex]

Generally from Doppler effect equation we have that

        [tex]f_1 = \frac{v_s - v }{ v_s + u } * f[/tex]

Here [tex]v_s[/tex] is the velocity of sound with the value  [tex]v_s = 343 \ m/s[/tex]

  =>   [tex]f_1 = \frac{343 - 25 }{ 343 + 35 } * 850[/tex]

  =>   [tex]f_1 = 828 \ Hz[/tex]