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Report of the Second Piloted Aircraft Flight Control System - Acgsc.org

Report of the Second Piloted Aircraft Flight Control System - Acgsc.org

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p - instantaneons density (mare per tmlt -ha)<br />

P<br />

insbIltaneotl8 fluid pH88tWe<br />

Dividing both sides <strong>of</strong> equation (10) by dt ,<br />

(u)<br />

f 4-1 &<br />

dt N dt<br />

and substitutl~q'equation (ll) into (8)<br />

and<br />

where <strong>the</strong> subscripts, 1 and 2, denote <strong>the</strong> mglon6 on one and on <strong>the</strong> o<strong>the</strong>r<br />

side <strong>of</strong> <strong>the</strong> piston respectively (see Fie, 3).<br />

If it is asrnned that <strong>the</strong> instantaneous flaw into me ride <strong>of</strong> <strong>the</strong><br />

cyllnder is equal to <strong>the</strong> instantaneous flow out <strong>of</strong> <strong>the</strong> o<strong>the</strong>r ride, 1.9..<br />

and ii it is far<strong>the</strong>r asuamed that <strong>the</strong> bulk modulus /V I6 conetaxit and<br />

identical for both regioae, equations (12a and b) be-<br />

dY<br />

dd<br />

drr<br />

dt<br />

Since / r - - , it follaws tbt

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