Memory / Formula's Flashcards

1
Q
A
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2
Q

Sin90 =

Cos90 =

Sin45 =

Cos45 =

Sin 30 =

Tan45 =

Sin60 =

Cos60 =

A

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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3
Q

one metric tonne =

A

1000 kg

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4
Q

A fractional decrease in volume of a material when it is compressed is a function of the

  • compressive stress
  • bulk modulus
A

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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5
Q

What is the formula for Time period (T)?

A
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6
Q

What is the formula for frequency (f)?

A
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7
Q

What is the formula for Velocity in terms of wavelength?

A

Where V = velocity of propagation

lamda = wavelength (repeat distance of wave; peak to peak, trot to trot)

f = frequency

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8
Q

Wavelength (lamda) on a graph is

A

period

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9
Q

What is the formula for Work

A

Work = (Force)(Distance)

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10
Q

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

A
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11
Q

What is the formula for Ideal Mechanical Advantage?

A
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12
Q

What is the formula for Efficiency?

A

Also: Eff = AMA / IMA

always up to 1 so cant be greater than 100%

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13
Q

What is the formula for Ideal Mechanical Adantage of a wheel and axle?

A

Where r is the radius of the axle

and R is the radius of the Wheel

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14
Q

What is the Ideal Mechanical advantage of an inclined plane?

A

Where theta is the angle of the incline

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15
Q

What is the formula for the Ideal Mechanical Advantage of a screw jack?

A

where p is the pitch of the screw (distance between adjacent threads)

and r is the radius of the turn

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16
Q

What is the Ideal Mechanical advantage formula of a hydraulic press?

A

where R is the radius of the big piston

and r is the radius of the small piston

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17
Q

Newtons first law of motion:

A

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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18
Q

Newton’s second law

A

F = (m)(a)

Force = mass x acceleration

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19
Q

Newton’s third law

A

Every action has an equal and opposite reaction

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20
Q

1 slug =

A

1 slug = 14.59 kg

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21
Q

1 lbs = ?(N)

A

1 lbs = 4.448 N

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22
Q

Weight =

A

Weight = (mass) * (gravity)

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23
Q

g = 9.8 m/s or

A

g = 9.8 m/s or 32 lbs /slug

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24
Q

1 kg = ? (lbs)

A

1 kg = 2.2 lbs

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25
Q

Stress =

A

Stress = force / area

26
Q

Strain =

A

Strain = Change in length / Original length

27
Q

1 metre = ? yards

A

1m = 1.09 yards

28
Q

Rotational distance (distance around a certain part of a circle or the arc)

formula

A

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

29
Q

Kinetic Energy

A
30
Q

Potential Energy

A
31
Q

What is the formula for Momentum?

A

Momentum = mV

where

m = mass

V = Velocity

32
Q

What is the equation for the Conservation of Momentum?

A

conservation of momentum = m1v1’ +m2v2’ = m1v1’’ + m2v2​’’

33
Q

Rate Gyro

(axis of rotation)

(aircraft instrument)

A

Rate Gyro

vertical axis of rotation

Turn rate indicator

34
Q

Position gyros are for

A

Compass and HIS (Horizontal Situation Indicator / attitude indicator)

Tied gyro, Earth gyro

35
Q

What is the formula for friction?

A

F = (μ)(N)

F = force required to move object

μ = starting or sliding coefficient

N = normal force of object

36
Q

What is the formula for ^C to ^F?

A
37
Q

What is the formula for converting ^C to kelvin

A

K = C +273

38
Q

1 Calorie = ? J

A

1 Calorie = 4186 Joules

39
Q

1 BTU = ? Calorie

A

1 BTU = 0.252 Calorie

40
Q

1 BTU = ? Joules

A

1 BTU = 1054 Joules

41
Q

What is the equation for linear expansion of a solid?

A
42
Q

1 BTU = amount of …

A

1 BTU = amount of heat needed to raise 1 lb of water by 1 ^F

43
Q

1 Calorie = amount of …

A

1 Calorie = amount of heat needed to raise 1 kg of water by 1 ^C

44
Q

1 calorie = amount of …

A

1 calorie = amount of heat needed to raise 1 gram of water by 1^C

45
Q

Water is densest at what temperature?

Water expands when lowered to what temperature?

A

Water is densest at what temperature = 4^C

Water expands when lowered to what temperature =0^C

46
Q

Thermodynamics 1st law is what?

A

Conservation of energy

energy cannot be created nor destroyed

47
Q

Thermodynamics second law is what?

A

Total entropy of an isolated system always increases over time

chaos increases, useless heat given off

heat death of universe

48
Q

1 CHU = amount of …

A

1 Celsius heat unit = the amount of heat needed to raise the temperature of 1 lb of water by 1^C

49
Q

What is the formula for Specific heat capacity? (Metric)

A

Q = (m)(C)(Change in T)

where Q = heat gained or lost

m = mass in kg

C = specific heat capacity ( joules /kg)

50
Q

What is the equation for volume expansion when heated?

A

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)

51
Q

What is the equation for area change when heated?

A

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)

52
Q

What is the speed of light in a vacuum?

A

3 x 108 m/s

(Note this is in a vacuum and in our atmosphere, this speed is reduced)

53
Q

What is the eqaution relating refractory index and how fast light will travel through a substance?

A

N = C / V

where

N = index of refraction

C = Celerity (speed of light 3x10^8 m/s)

V = speed of light in that substance

54
Q

What is the formula for snells law?

A

snells law = sin i / sin r

where i = angle of incidence

r = angle of refraction

55
Q

Make a table under convex/concave lens/mirror and image / image location

A
56
Q

Convergying = what type of lens

Diverging = what type of lens

A

Converging = convex

Diverging = concave

57
Q

Give an example of a Longitudinal wave

A

Sound wave

58
Q

Give examples of a transverse wave?

A

light, radio waves and microwaves

59
Q

What is the speed of sound in each of the following:

air @ 0^C =

air @ 20^C =

steel =

A

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

60
Q

What is the formula for Velocity of a sound

A

V = lambda x f

where V = velocity (speed of sound etc)

lambda = wavelength

f = frequency