Basic Theory Flashcards
Scalar
quantity that represents only magnitude
Vector
quantity that represents magnitude and direction
Displacement (s)
distance and direction of a body’s movement
Velocity (V)
speed and direction of a bod’s motion, the rate of change of position
Speed
scalar equal to the magnitude of the velocity vector
Acceleration (a)
rate and direction of a body’s change of velocity
Force (F)
push or pull exerted on a body
Mass (m)
quantity of molecular material that comprises an object
Volume (v)
amount of space occupied by an object
Density (ρ)
mass per unit volume
ρ = mass/volume
Weight (W)
force with which a mass is attracted toward the center of the earth by gravity
Force (F)
mass times acceleration
F= m (x) a
Moment (M)
created when a force is applied at some distance from an axis or fulcrum, tends to produce rotation about that point. A vector quantity equal to Force time distance from the point of rotation that is perpendicular to the force.
Work (W)
scalar quantity
W= F (x) s
Power (P)
rate of doing work or work done per unit of time
P = W/t
Energy
scalar measure of a body’s capacity to do work
TE= PE + KE
Potential Energy
ability of a body to do work because of its position or state of being. Function of mass (m), gravity (g), and height (h).
PE= weight (x) height = mgh
Kinetic energy
ability of a body to do work b/c of its motion. Funcition of mass (m) and velocity (V).
KE = 1/2mV ²
Work
changes position to give potential energy or motion to give kinetic energy
Newton’s First Law
Law of Equilibrium
“Body at rest tends to remain at rest and a body in motion tends to remain in motion in a straight line at a constant velocity unless acted upon by some unbalance force
Equilibrium
absence of acceleration, either linear or angular
Equilibrium flight
exists when the sum of all forces and the sum of all moments around the center of gravity are equal to zero. thrust, drag, lift and weight cancel each other out
Trimmed flight
exists when the sum of all moments around the center of gravity is equal to zero. Sum of forces may not be equal to zero. DOES NOT NEED TO BE IN STRAIGHT AND LEVEL FLIGHT
Newton’s Second Law of Motion
Law of Acceleration
“An unbalanced force (F) acting on a body produces an acceleration (a) in the direction of the force that is directly proportional to the mass (m) of the body”
a=F/m a= (Vout (-) Vin)/time
Newton’s Third Law of Motion
Law of Interaction
“For every action, there is an equal and opposite reaction; the forces of two bodies on each other are always equal and are directed in opposite directions
Static pressure (Ps)
the pressure that particles of air exert on adjacent bodies
Air density (ρ)
total mass of air particles per unit of volume. Decreases with an increase in altitude
Temperature (T)
measure of the average random kinetic energy of air particles
Average lapse rate
Linear temperature decrease for each 1000 ft increase in altitude. 2°C (3.57°F) per 1000 ft up to 36,000 ft
Humidity
amount of water vapor in the air
as humidity inc, air density dec
Viscosity (µ)
measure of the air’s resistance to flow and shearing
inc as temp inc
Local speed of sound
rate at which sound waves travel thru a particular air mass
dependent only on the temperature of the air
Standard atmosphere
set of reference conditions giving representative values of air properties as a function of altitude
General Gas Law
set the relationship b/w pressure (P), density (ρ), and temperature (T)
P=ρRT
Altitude
defined as the geometric height above agiven plane of reference
True altitude
actual height above sea level
Pressure altitude (PA)
height above the standard datum plane (22.92 in. Hg)
Density altitude (DA)
altitude in the standard atmosphere where the air density is equal to local air density. Found by correcting pressure altitude for temp and humidity.
Predictor of aircraft performance.