rattis said:Apparently Torichelli made a therom that has something to do with flow rate out of containers. Can anyone help me with this as i am doing the same experiment using differential equations.
Torricelli's Theorem is a mathematical equation that relates the flow rate of a liquid coming out of a small opening at the bottom of a container to the height of the liquid in the container. It was first discovered by Italian physicist Evangelista Torricelli in the 17th century.
Torricelli's Theorem is calculated using the equation v = √2gh, where v is the velocity of the liquid, g is the gravitational acceleration (9.8 m/s²), and h is the height of the liquid in the container.
There are two main assumptions made in Torricelli's Theorem. The first is that the liquid is incompressible, meaning its density remains constant. The second is that there is no friction between the liquid and the container.
Torricelli's Theorem has many practical applications, such as determining the flow rate of water through a pipe or calculating the speed of a liquid jet in a fountain. It is also used in hydraulic engineering to design systems for controlling the flow of liquids.
Torricelli's Theorem is a special case of Bernoulli's Principle, which states that the total energy of a fluid remains constant along a streamline. The equation in Torricelli's Theorem is derived from the Bernoulli's Principle equation by making some simplifying assumptions.