While tracking a submarine, a sonar analyst notic hydrophone (underwater microph

Question

While tracking a submarine, a sonar analyst notic hydrophone (underwater microphone) is picking 236.313 Hz. If the submarine that the analyst is t analyst notices that a e) is picking up a signal at radi e analyst is tracking is known to ate a frequency of 235.0 Hz, then determine if the subma ne is determine if the submarne is n wu oaching, abeam, Or in "knots". approaching, abeam, or receding the hydrophone, and at whatsp Data: 1 knot = 1 nautical mile per hour 1 nautical mile ( 1 nm) 6000 ft Speed of sound in seawater 4500 ft/sec r4500O ft/sec

Explanation / Answer

Here ,

as tje frequency is increasing , the submarine is approaching

let the speed of approach is v

speed of sound , vs = 4500 feet/s

Now , as f = f0 *(v +vs)/vs

236.313 = 235 *(v + 4500)/4500

solving for v

v = 25.14 feet/s

speed = 25.14 * (1/6000)/(1/3600)

speed = 15.1 Knots

the submarine is appraoching at 15.1 Knots

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