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    Submarine A detects sound from sub B. Find sub B's velocity.

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    Submarine A detects sound from sub B. Given the frequency received and knowing that emitted, find the velocity of sub B.

    Submarine A, with velocity 21 m/sec, receives from directly behind it, the sound with frequency 266 cy/sec, from submarine B which is known to emit sound at 265 cy/sec.

    The two submarines are 1800 meters apart. Speed of sound in sea water 1450 m/sec.

    If the two subs maintain courses and speeds, will there be a collision, and if so, in how many seconds?

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    Solution Preview

    Recall that the Doppler equation is:
    (1) f' = f (v + vs) / (v - vo) in which:
    f = frequency emitted by source
    f' = frequency received by observer
    v = velocity of sound
    vo = velocity of observer (+ if toward source, - if away from source)
    vs = ...

    Solution Summary

    The expert finds the velocity of a submarine. The frequency and speed of the collisions are given. With good explanations and four separate steps, the problem is solved.