Question

Torcellies experiment By the consept of fluid statics.I need a brief explanation anout Torcillies experiment

Answer 1

Torricelli's experiment was invented in Pisa in 1643 by the Italian scientist Evangelista Torricelli (1608-1647). The purpose of his experiment is to prove that the source of vacuum comes from atmospheric pressure.The experiment uses a simple barometer to measure the pressure of air, filling it with mercury up until 75% of the tube. Any airbubbles in the tube must be removed by inverting several times. After that, a clean mercury is filled once again until the tube is completely full. The barometer is then placed inverted on the dish full of mercury. This causes the mercury in the tube to fall down until the difference between mercury on the surface and in the tube is about 760 mm.[2]Even when the tube is shaken or tilted, the difference between the surface and in the tube is not affected due to the influence of atmospheric pressure.
I hope it helps...

Answer 2

Torricelli's law, also known as Torricelli's theorem, is a theorem in fluid dynamics relating the speed of fluid flowing out of an orifice to the height of fluid above the opening. The law states that the speed of efflux, v, of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth h is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h, i.e. ${\displaystyle v={\sqrt {2gh}}}$, where g is the acceleration due to gravity (9.81 N/kg near the surface of the earth). This last expression comes from equating the kinetic energy gained,
${\displaystyle{\frac {1}{2}}mv^{2}}$, with the potential energy lost, mgh , and solving for v. The law was discovered (though not in this form) by the Italian scientist Evangelista Torricelli, in 1643. It was later shown to be a particular case of Bernoulli's principle.

The speed of a portion of water flowing through an opening in a tank a given distance, h, below the water surface is the same as the speed that would be attained by a drop of water falling freely under the force of gravity alone (that is, neglecting effects of air) through the same distance, h. The speed of efflux is independent of the direction of flow; at the point of the opening the speed is given by this equation, whether the opening is directed upward, downward, or horizontally.

$DERIVATION$
•••••••••••••••

Under the assumptions of an incompressible fluid with negligible viscosity, Bernoulli's principle states that:

${\displaystyle {v^{2} \over 2}+gh+{p \over \rho }={\text{constant}}}$

where v is fluid speed, g is the gravitational acceleration (9.81 m/s2), h is the fluid's height above a reference point, p is pressure, and ρ is density. Define the opening to be at h=0. At the top of the tank, p is equal to the atmospheric pressure. v can be considered 0 because the fluid surface drops in height extremely slowly compared to the speed at which fluid exits the tank. At the opening, h=0 and p is again atmospheric pressure. Eliminating the constant and solving gives:

${\displaystyle Pa+1/2\rho v^{2}+\rho gy_{1}=P+\rho gy_{2}}$${\displaystyle \Rightarrow 1/2\rho v^{2}=\rho g(y_{2}-y_{1})+(P-Pa)}$ ${\displaystyle \Rightarrow y_{2}-y_{1}=h.}$

Then,
${\displaystyle1/2\rho v^{2}=\rho gh+(P-Pa)}$${\displaystyle \Rightarrow v={\sqrt {2gh+2(P-Pa)/\rho }}}$

(Special cases 1)

${\displaystyle \Rightarrow v^{2}=2gh\,}$${\displaystyle \Rightarrow v={\sqrt {2gh}}}$

$EXPERIMENTAL$ $EVIDENCE$
••••••••••••••••••••••••••••••••••••••••••••••••••••••••

Torricelli's law can be demonstrated in the spouting can experiment, which is designed to show that in a liquid with an open surface, pressure increases with depth. It consists of a tube with three separate holes and an open surface. The three holes are blocked, then the tube is filled with water. When it is full, the holes are unblocked. The lower a jet is on the tube, the more powerful it is. The fluid's exit velocity is greater further down the tube.

Ignoring viscosity and other losses, if the nozzles point vertically upward then each jet will reach the height of the surface of the liquid in the container.

♥️♥️♥️MAY THIS HELP U BRO!!!
MAY THE ATTACHMENT ALSO HELP U!!!
IF U LIKE IT PLZ MARK it AS BRAINLIEST!!!