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A wide tank of cross section area A containing a liquid to a height H, has an orifice at its base of area A/3 the initial acceleration of top surface of liquid is ? answer in terms of g A wide tank of cross section area A containing a liquid to a height H, has an orifice at its base of area A/3 the initial acceleration of top surface of liquid is ? answer in terms of g
p { margin-bottom: 0.25cm; line-height: 120%; }Let v be the velocity at the surface of liquid. Then from continuity principle, velocity at the orifice will be 3v.From Bernouli's principle, we have,where P = atmospheric pressure, is the density of the liquid.Solving above equation for v, we havedifferentiating both sides with respect to time, we get Acceleration is negative as velocity is decreasing, as H is decreasing.Note, acceleration is constant, it does not depend on the value of H
Let v be the velocity at the surface of liquid. Then from continuity principle, velocity at the orifice will be 3v.
From Bernouli's principle, we have,
where P = atmospheric pressure, is the density of the liquid.
Solving above equation for v, we have
differentiating both sides with respect to time, we get
Acceleration is negative as velocity is decreasing, as H is decreasing.
Note, acceleration is constant, it does not depend on the value of H
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