GATE ME 2016 Set 3 — Question 50
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Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
The water jet exiting from a stationary tank through a circular opening of diameter impinges on a rigid wall as shown in the figure. Neglect all minor losses and assume the water level in the tank to remain constant. The net horizontal force experienced by the wall is ___________ kN.Density of water is .Acceleration due to gravity .
Correct answer
8.76 to 8.78
Solution
Given:
Height of water level,
Diameter of opening,
Density of water,
Acceleration due to gravity,
Height of water level,
Diameter of opening,
Density of water,
Acceleration due to gravity,
1.Velocity of the jet: Using Torricelli's law, the velocity of the jet exiting the tank is:
2.Area of the opening:
3.Mass flow rate:
4.Force on the wall: The net horizontal force experienced by the wall is equal to the rate of change of momentum of the jet in the horizontal direction (assuming the jet loses all its horizontal momentum upon impact):
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