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两U形管的连通管内充满空气。若测压前两U形管压差计内的水银液面均为同一高度,测压后两U形管压差计的读数分别为R1、R2,试求a、b两点间的压力差p解:

p1?pa??wgh1a?pb。

,pa?p1??wgh1

4p1?p2,p2?p3??HggR1,p3?p4,p?p5??HggR2,p5?pb??wgh5

pb?p5??wgh5?p4??HggR2??wgh5

pa?pb?p3??HggR1??wgh1??p4??HggR2??wgh5?

??Hgg?R1?R2???wgh1??wgh5而 所以

h1?h?R12,

h5?h?R22

?R??R?pa?pb??Hgg?R1?R2???wgh??wg?1???wgh??wg?2??2??2???Hgg?R1?R2??11???wg?R1?R2????Hg??w??R1?R2?g22??