manometer

a manometer contains a liquid of density p. the difference inthe levels when the manometer rotates with a constant angular velocity w about one of its vertical limbs is?(the two limbs are separated by distance 'a')

a)w2a2/2g
b)w2a2/3g
c) w2a2/g
d) 2w2a2/g

1 Answers

1
utd4ever ·

ans is ρw2a22

dpA=dmxw2
dm=ρAdx

dpA=ρAxdxw2
dp=ρxdxw2
integrating this from p1 to p2 and 0 to a
we get p2-p1=ρw2a22
which is nothing but the difference in the 2 vertical limbs of the manometer

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