Temperature
Definition: Temperature is a measure of the kinetic energy of molecules.
Kinetic Energy: Energy of motion, exemplified by a moving car that has stored kinetic energy until it hits an object (e.g., tree).
Effect of Temperature: As temperature increases, the speed and kinetic energy of molecules in a substance increase.
Convection
Definition: Transfer of heat due to the movement of fluids (e.g., hot air rising).
Conduction
Definition: Heat transfer through direct contact of molecules (e.g., a hot stove heating surrounding areas).
Radiation
Definition: Transfer of heat without needing a medium (e.g., sun heating the ground).
Diffusion
Definition: Mixing of molecules and does not transfer heat.
Boyle's Law
Definition: Relates pressure, temperature, and volume of a gas.
Key Relationship: Pressure is determined by the ratio of temperature to volume (P = k * (T/V)).
Implications:
If temperature stays constant and volume doubles, pressure decreases.
If both volume and temperature double, pressure remains the same.
Incompressibility
Definition: Liquids cannot be compressed; when more liquid is added to a confined space at constant temperature, pressure increases significantly.
Boiling Point
Dependence on Pressure: Varies with surrounding pressure (lower at high altitudes, higher at sea level).
Speed of Sound
Factors: Changes with temperature; colder air slows sound waves.
Humidity
Absolute Humidity: Actual amount of water vapor in the air.
Relative Humidity: Ratio of actual water vapor to the saturation amount at a given temperature and pressure.
Dew Point: Temperature at which air becomes saturated with water vapor.
Density: Humid air is less dense than dry air due to the lighter weight of water vapor.
Landing Speed
Higher temperatures and humidity result in greater true landing speed since air is less dense.
Fluid Dynamics
As air flows through a narrowed area, it speeds up, causing pressure to decrease. This relationship helps in measuring flow rate.
Application in Aircraft Wings:
Air travels faster over the top surface, creating lower pressure compared to the bottom, thus generating lift.
Downwash: Air is deflected downward during lift, contributes to upward force on the wing.
Aspect Ratio
Definition: Ratio of wingspan to average chord.
High Aspect Ratio: Long, narrow wings favored in gliders for low stall speed.
Wing Planform
Rectangular Wings: Stall at root first, maintaining aileron control and providing stall warning.
Winglets
Purpose is to reduce drag and increase lift-to-drag ratio by minimizing wing tip vortices.
Dihedral Wings
Wing tips are angled upward, enhancing lateral stability during flight.
Work
Definition: Work equals force times distance (W = F x D).
Example Question: Moving a 20 lb weight 3 feet requires 60 foot-pounds of work (W = 20 x 3).
Power
Definition: Work done per unit of time. More power is needed to do work faster.
Horsepower: 1 horsepower = 33,000 foot-pounds per minute.
Pulleys and Inclined Planes
Use of simple machines spreads work over longer distances, requiring less force.
Example: Moving a barrel up a ramp requires force inversely proportional to the ramp's length-to-height ratio.
Hydraulic Systems
Governed by Pascal’s Law: F = P x A (force equals pressure times area).
Example Question: Calculating force produced by a hydraulic piston based on pressure and effective area.