Moderate

A thin horizontal plate of area 0.036 m2 is beneath the surface of a liquid of density 930 kg m−3. The force on one side of the plate due to the pressure of the liquid is 290 N. What is the depth of the plate beneath the surface of the liquid?

Correct answer: A. 0.88 m

  • A. 0.88 m
  • B. 1.1 m
  • C. 1.8 m
  • D. 8.7 m

Explanation

Pressure P = hρgwhere h is the depth, ρ is the density of the liquid and g is the acceleration of free fall.But,Pressure P = Force / Area = F / ATherefore,Depth h = P / ρg = F / (Aρg) = 290 / [0.036 (930) (9.81)] = 0.88m

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About Fluid Dynamics

Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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