This is an important principle involving the movement of a fluid through a pressure difference. Suppose a fluid is moving in a horizontal direction and encounters a pressure difference. This pressure difference will result in a net force, which by Newton's 2nd law will cause an acceleration of the fluid.
Bernoulli's theorem is a principle that states for an inviscid flow of a fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. This theorem is often applied in fluid dynamics to analyze the behavior of fluids in motion.
The Bernoulli principle states that along any streamline (a streamline is the path traced out by arbitrarily small element of the fluid), the following equality holds:
p + ½ρv² + ρgz = constant
p - static pressure
ρ - density
v - speed
g - gravitational acceleration
z - vertical position
The constant is the total pressure also called the stagnation pressure. This equation was derived for theoretically "frictionless" or zero viscosity fluids but it is a fair approximation for real fluids where friction is not playing a significant role in the flow. For the case of gases the last term is negligible, so you can say that wherever the flow speed decreases along that streamline, the static pressure will increase. Why along the streamline? Because that constant is only a constant for a given streamline.
The speed of the fluid is what determines its pressure in relation to Bernoulli's principle. As the speed of the fluid increases, the pressure decreases according to the principle.
Bernoulli's principle states that as the speed of a fluid increases, its pressure decreases, and vice versa. This means that in a moving fluid, areas with higher speed will experience lower pressure compared to areas with lower speed.
Bernoulli's principle helps to explain how the speed of a fluid (such as air or water) is related to its pressure. It is commonly used to understand phenomena like lift in aircraft wings, the flow of fluids through pipes, and the operation of carburetors and atomizers.
Bernoulli's principle is commonly used in aviation to explain lift generation, in weather forecasting to analyze air pressure differences, and in fluid dynamics to understand the flow characteristics in pipelines and pumps.
Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. It is commonly applied in fluid dynamics to explain the relationship between velocity and pressure in a fluid flow system, such as in the case of an airplane wing generating lift or a carburetor in an engine.
Pythagorus
nothing
sam. theorm
theorm
Bernoullis principle
a2+b2=c2
Airplane,ventrimeter,andpump
Yes he did.
A greek man called Pythagoras.
Yes you have to use the pythagorean theorm to find the length of a right triangle. But you must subtract A2 from C2 then square root the answer.
http://en.wikipedia.org/wiki/Bernoulli%27s_principle#Real_world_application
Proof comes directly from the law of sines.