Memory / Formula's Flashcards
Sin90 =
Cos90 =
Sin45 =
Cos45 =
Sin 30 =
Tan45 =
Sin60 =
Cos60 =
Sin90 = 1
Cos90 = 0
Sin45 = 0.707
Cos45 = 0.707
Sin 30 =0.5
Tan45 = 1
Sin60 = 0.866
Cos60 = 0.5
one metric tonne =
1000 kg
A fractional decrease in volume of a material when it is compressed is a function of the
- compressive stress
- bulk modulus
bulk modulus
’‘Bulk Modulus - The bulk modulus gives the change in volume of a solid substance as the pressure on it is changed.’’
What is the formula for Time period (T)?
What is the formula for frequency (f)?
What is the formula for Velocity in terms of wavelength?
Where V = velocity of propagation
lamda = wavelength (repeat distance of wave; peak to peak, trot to trot)
f = frequency
Wavelength (lamda) on a graph is
period
What is the formula for Work
Work = (Force)(Distance)
What is the formula for AMA (Actual Mechanical Advantage)?
What is the formula for Ideal Mechanical Advantage?
What is the formula for Efficiency?
Also: Eff = AMA / IMA
always up to 1 so cant be greater than 100%
What is the formula for Ideal Mechanical Adantage of a wheel and axle?
Where r is the radius of the axle
and R is the radius of the Wheel
What is the Ideal Mechanical advantage of an inclined plane?
Where theta is the angle of the incline
What is the formula for the Ideal Mechanical Advantage of a screw jack?
where p is the pitch of the screw (distance between adjacent threads)
and r is the radius of the turn
What is the Ideal Mechanical advantage formula of a hydraulic press?
where R is the radius of the big piston
and r is the radius of the small piston
Newtons first law of motion:
A body at rest remains at rest and a body in motion continues to move at constant velocity unless acted upon by an unbalanced external force
Newton’s second law
F = (m)(a)
Force = mass x acceleration
Newton’s third law
Every action has an equal and opposite reaction
1 slug =
1 slug = 14.59 kg
1 lbs = ?(N)
1 lbs = 4.448 N
Weight =
Weight = (mass) * (gravity)
g = 9.8 m/s or
g = 9.8 m/s or 32 lbs /slug
1 kg = ? (lbs)
1 kg = 2.2 lbs
Stress =
Stress = force / area
Strain =
Strain = Change in length / Original length
1 metre = ? yards
1m = 1.09 yards
Rotational distance (distance around a certain part of a circle or the arc)
formula
S = (R)(Theta)
where s = arc distance
R = radius of circle
Theta = angle of the arc or slice in radians
remember
1 revolution = 360 deg = 2 pi radians
Kinetic Energy
Potential Energy
What is the formula for Momentum?
Momentum = mV
where
m = mass
V = Velocity
What is the equation for the Conservation of Momentum?
conservation of momentum = m1v1’ +m2v2’ = m1v1’’ + m2v2’’
Rate Gyro
(axis of rotation)
(aircraft instrument)
Rate Gyro
vertical axis of rotation
Turn rate indicator
Position gyros are for
Compass and HIS (Horizontal Situation Indicator / attitude indicator)
Tied gyro, Earth gyro
What is the formula for friction?
F = (μ)(N)
F = force required to move object
μ = starting or sliding coefficient
N = normal force of object
What is the formula for ^C to ^F?
What is the formula for converting ^C to kelvin
K = C +273
1 Calorie = ? J
1 Calorie = 4186 Joules
1 BTU = ? Calorie
1 BTU = 0.252 Calorie
1 BTU = ? Joules
1 BTU = 1054 Joules
What is the equation for linear expansion of a solid?
1 BTU = amount of …
1 BTU = amount of heat needed to raise 1 lb of water by 1 ^F
1 Calorie = amount of …
1 Calorie = amount of heat needed to raise 1 kg of water by 1 ^C
1 calorie = amount of …
1 calorie = amount of heat needed to raise 1 gram of water by 1^C
Water is densest at what temperature?
Water expands when lowered to what temperature?
Water is densest at what temperature = 4^C
Water expands when lowered to what temperature =0^C
Thermodynamics 1st law is what?
Conservation of energy
energy cannot be created nor destroyed
Thermodynamics second law is what?
Total entropy of an isolated system always increases over time
chaos increases, useless heat given off
heat death of universe
1 CHU = amount of …
1 Celsius heat unit = the amount of heat needed to raise the temperature of 1 lb of water by 1^C
What is the formula for Specific heat capacity? (Metric)
Q = (m)(C)(Change in T)
where Q = heat gained or lost
m = mass in kg
C = specific heat capacity ( joules /kg)
What is the equation for volume expansion when heated?
recall linear expansion equation
Change in length = (a)(change in length)(change in temp)
and note length x3 = volume
Thus answer Volumetric expansion
Change in V = 3(a)(Origianl volume)(change in T)
What is the equation for area change when heated?
recall linear expansion equation:
change in length = (a)(original length)(change in temp)
Area is just length x2
therefore area equation
Change in Area = 2(a)(Original Area)(change in temp)
What is the speed of light in a vacuum?
3 x 108 m/s
(Note this is in a vacuum and in our atmosphere, this speed is reduced)
What is the eqaution relating refractory index and how fast light will travel through a substance?
N = C / V
where
N = index of refraction
C = Celerity (speed of light 3x10^8 m/s)
V = speed of light in that substance
What is the formula for snells law?
snells law = sin i / sin r
where i = angle of incidence
r = angle of refraction
Make a table under convex/concave lens/mirror and image / image location
Convergying = what type of lens
Diverging = what type of lens
Converging = convex
Diverging = concave
Give an example of a Longitudinal wave
Sound wave
Give examples of a transverse wave?
light, radio waves and microwaves
What is the speed of sound in each of the following:
air @ 0^C =
air @ 20^C =
steel =
What is the speed of sound in each of the following:
air @ 0^C = 331 m/s
air @ 20^C = 344 m/s
steel = 5790 m/s
What is the formula for Velocity of a sound
V = lambda x f
where V = velocity (speed of sound etc)
lambda = wavelength
f = frequency
