P18 073

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73. The reception of the ultrasound by the structure (moving with speed u) and the subsequent remitting

of the signal by the structure back toward the detector is a two step process which may be compactly
written as

f + ∆f = f



v + u

v

− u



=

⇒ v =



2 + ξ

ξ



u

with ξ = ∆f /f and where we have assumed that the structure is moving toward the detector. If
u = 1.00

× 10

3

m/s and ξ = 1.30

× 10

6

, we get v = 1.54

× 10

3

m/s.


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