Memory / Formula's Flashcards by Joshua McDonnell

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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

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one metric tonne =

1000 kg

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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.’’

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What is the formula for Time period (T)?

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What is the formula for frequency (f)?

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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

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Wavelength (lamda) on a graph is

period

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What is the formula for Work

Work = (Force)(Distance)

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What is the formula for AMA (Actual Mechanical Advantage)?

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What is the formula for Ideal Mechanical Advantage?

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What is the formula for Efficiency?

Also: Eff = AMA / IMA

always up to 1 so cant be greater than 100%

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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

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What is the Ideal Mechanical advantage of an inclined plane?

Where theta is the angle of the incline

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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

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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

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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

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Newton’s second law

F = (m)(a)

Force = mass x acceleration

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Newton’s third law

Every action has an equal and opposite reaction

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1 slug =

1 slug = 14.59 kg

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1 lbs = ?(N)

1 lbs = 4.448 N

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Weight =

Weight = (mass) * (gravity)

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g = 9.8 m/s or

g = 9.8 m/s or 32 lbs /slug

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1 kg = ? (lbs)

1 kg = 2.2 lbs

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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