Velocity calculations

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Velocity calculations

Posted by Jonas Røstad at March 14. 2005
The change in velocity (dv) is given by
dv=-(1500/2)*df/f

df - change in frequency
f   - transmitted frequency
the soundspeed is divided by 2 because of transmission both ways in the water.

Quote
(1) How much is the allowance of transmitting frequency?
How many kHz do you allow in transmitting frequency for 1MHz Aqd Profiler ?
And for 2MHz instrument, for 600kHz instrument as well ?

(2) How do you convert received frequency to current velocity ?
(when sound speed is assumed to be 1500m/s)
In case of 1MHz Aqd Profiler, to how many frequency change does correspond
current speed of 1m/s ? And in case of 2MHz and of 600kHz ?


(1) The accuracy of the Aquadopp Profiler is 1% of measured value +/-0,5cm/s.
The +/- 0,5cm/s part is caused by the transmitting pulse related to drift of the clock.
Using the formula above this leads to an allowance in frequency of

600kHZ :  +/- 40 Hz
1MHz    :  +/- 66.67 Hz
2MHz    :  +/- 133,33 Hz

(2) Again, using the above formula 1m/s correponds to a frequency of

600kHZ :  (600000-800)Hz       = 599200 Hz
1MHz    :  (1000000-133,33)Hz = 999866,67 Hz
2MHz    :  (2000000-266,67)Hz = 1999733,33Hz
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