Narth Atlantic. The French sub an T. Whar i the signal\'s fregacacy as dteciod b

Question

Narth Atlantic. The French sub an T. Whar i the signal's fregacacy as dteciod by the U.S u dessity which eab ia the rcc and which o 2 What is the freqacncy dekoied by the Fresch ah in the synd ncfkaciod uck to it by dhe L.S sb? Ikity sb sneves at speed-50 kn/ and the lU S.sab at sperd s70 kn/&. The French which sub is the sarce and wtich one is the obearvar and show it in a dctcs. Aad than te the approprile signs in the furmala f, (1 ./u)/(MIf Problem 2 A police siren has a frequency ef 550 Ha ax the palce cor appreaches yos and a frequescy ef 4Gt Hs after R has How fast are the poles travelng? Onvo y sole, the air Er will he 343 minssen rive 1. a wmight be necessary). 2. Idealify the cause for the frequency shitt in each case 3. Whal is the true freqeency of the polkoe sinmThe awwer you pet in 495 H

Explanation / Answer

Problem 2:

a) When the source is moving towards a observer at rest

f1' = f[v/(v - vs)] -----------------(1)

When the source is moving away from the observer at rest

f2’= f[v/(v + vs)]-------------------(2)

divide (1) and (2)

f1'/ f2’= {f[v/(v - vs)]}/{ f[v/(v +vs)]} = {[v/(v - vs)]}/{[v/(v + vs)]}

550/450 = {[343/(343 - vs)]}/{[343/(343 + vs)]}     => vs = 34.3 m/s

b) As the police siren approaches period of sound waves decreases which results in increases in frequency since f= 1/T

Similarly,

As the police siren recedes period of sound waves inreases which results in decreases in frequency since f= 1/T

f1' = f[v/(v - vs)]

550 = f[343/(343-34.3)]    => f= 495 Hz

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