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14 February, 16:50

You are flying in an ultralight aircraft at a speed of 39 m/s. An eagle, whose speed is 18 m/s, is flying directly toward you. Each of the given speeds is relative to the ground. The eagle emits a shrill cry whose frequency is 3400 Hz. The speed of sound is 330 m/s. What frequency do you hear?

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  1. 14 February, 18:53
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    frequency we hear is 4021 Hz

    Explanation:

    given data

    aircraft speed v1 = 39 m/s

    eagle speed v2 = 18 m/s

    frequency f2 = 3400 Hz

    speed of sound s = 330 m/s

    to find out

    What frequency f1 we hear

    solution

    we will apply here frequency formula that is

    frequency = f2 (s + v1) / (s + v2) ... 1

    put here all value of f2, s, v1 and v2 in equation 1

    we will take v2 is negative because it move toward us so

    frequency = f2 (s + v1) / (s + v2)

    frequency = 3400 (330 + 39) / (330 - 18)

    frequency = 3400 (369) / (312)

    frequency = 4021.15

    so frequency we hear is 4021 Hz
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