a two meter tank is full of water. a hole is made in the middle of the tank . the speed of the effect is :
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The main thing to know about this is that water pressure depends only on depth. The initial speed of the stream of water will come from pressure due to a one meter height of water. That pressure is the weight of a cylinder of water one meter high with a certain cross sectional area. Since pressure is force per area, You have density of water (mass/volume) times 9.8 N/Kg x one meter times cross sectional area divided by cross sectional area.
From the bernoulli equation you have pressure plus (1/2) x density x v^2 in the tank equals pressure outside plus (1/2) x density x v^2 outside.
So pressure inside is density x height x g which equals (1/2) x density x v^2, or v^2 = 2gh.
From the bernoulli equation you have pressure plus (1/2) x density x v^2 in the tank equals pressure outside plus (1/2) x density x v^2 outside.
So pressure inside is density x height x g which equals (1/2) x density x v^2, or v^2 = 2gh.
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Ans. is 4.4 m/s ... solution is in the pic ^_^
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Dhinu:
height of the tank
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