Question icon
Grade 12th passMechanics

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

Profile image of vishal singh
11 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Mallikarjun Maram
11 Years ago
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 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