Question

Fluid question!

Answer 1

If we immerse a cylinder(heavy solid) in a tank then how does it impact on the efflux velocity of water?

Answer 2

I'm not perfectly sure about this, but here is how I understand it:

If you are familiar with Torricelli's law , you'll know that the greater the pressure (Due to gravity and/ore the weight of water) the greater the speed of efflux. (See this diagram: https://en.wikipedia.org/wiki/File:TorricelliLawDiagram.svg )

If you immerse a heavy solid in the tank, then you would be increasing the "pressure" of the water against the wall/lid of the container. This would result in an increase of efflux speed.

Answer 3

That's absolutely right but can you help me in this ?
A tank of height h and base area A is half filled with water and there is a very small orifice at the bottom and there is a heavy solid cylinder having base area A/3.The water is flowing out of orifice.(height of cylinder is same as that of tank).
Find speed of water flowing out of orifice after cylinder is kept inside it.

Answer 4

Some ideas:

\[v = \sqrt 2gh\]

This is Bernoulli's law: v is velocity, g is gravity and h is height. The height of the liquid would /increase/ if the solid was put in so, that would contribute to the higher velocity.

Give me a second to calculate!

Answer 5

Base area of the Cylinder is A/3

this leaves 2A/3 square centimeters left.

The volume of water stays the same, so you have to form the following equations: Assume: H/2 = y

A * y = 2A/3 * x

= 3Ay = 2Ax

= y = 2/3 x

therefore h/2 = 2/3 x

Therefore new height = 3h/4

Plug that into bernoulli's equation and you should be fine, I think!

Answer 6

Thank you so much.

Answer 7

No problem! c: