1. Bernoulli And Archimedes
Theory of Flight
Bernoulli
And
Archimedes

2. Bernoulli’s Principle
In fluid dynamics, 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.
The principle is named after Daniel Bernoulli who published it in his book Hydrodynamica in 1738

3. Bernoulli - Proof

4. Bernoulli - Example
2. Spinning of a ball in soccer/baseball/football Observe the figure carefully.

5. Bernoulli Example
1. The air travels faster relative to the center of the ball where the periphery of the ball is moving in the same direction as the airflow (left). This reduces the pressure, according to Bernoulli's principle. 
2. The pressure increases on the other side of the ball, where the air travels slower relative to the center of the ball (right).  There is therefore an imbalance in the forces, and the ball deflects in the same sense as the spin - from bottom right to top left.

6. Video Demo
Bernoulli Demo

7. Archimedes Principle
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid
Archimedes Bath

8. Archimedes - Proof Fb = pgV Fb = A buoyant Force
Archimedes Equation: VERY simplified 
Fb = pgV
Fb = A buoyant Force
P = Density of the fluid
g = Gravitational constant
V = Volume of displaced fluid

9. Archimedes - Examples
Apply Archimedes Principle to describe how an airship or hot-air balloon is able to achieve flight.
Hot air balloons rise into the air because the density of the air (warmer air) inside the balloon is less dense than the air outside the balloon (cooler air).
The balloon and the basket displaces a fluid (air) that is heavier than the balloon and the basket, so it has a buoyant force acting on the system. Balloons tend to fly better in the morning, when the surrounding air is cool.

10. Archimedes - Examples Airships
The upward force of a lifting gas will change depending upon the differences in temperature and pressure between the lifting gas and the surrounding air.
The volume (size) of the “balloon” allows for the heavy ship to become buoyant because it displaces so much air mass.