In the figure, a French submarine and a U.S. submarine move toward each other du

Question

In the figure, a French submarine and a U.S. submarine move toward each other during maneuvers in motionless water in the North Atlantic. The French sub moves at speed v_F = 52.00 knVh, and the U.S. sub at V_us = 67.00 km/h. The French sub sends out a sonar signal (sound wave in water) at 1.000 Times 10^3 Hz. Sonar waves travel at 5470 km/h. What is the signal's frequency as detected by the U.S. sub? What frequency is detected by the French sub in the signal reflected back to it by the U.S. sub?

Explanation / Answer

given that

f = 1*10^3 Hz

velocity of sonar waves V = 5470 km/h

Vf = 52 km/h

Vus = 67 km/h

signal's frequency detencted by us submarine

f' = f [(V+Vus) / (V-Vf)]

f' = 1*10^3*[(5470+67) / (5470-52)]

f' = 1021.96 Hz

(b)

frequency detected by french submarine

f'' = f' [(V+Vf) / (V-Vus)]

f'' = 1021.96*[(5470+52) / (5470-67)]

f'' = 1044.46 Hz

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