Gamsat Flashcards

1
Q

π (pi)

A

3.14

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2
Q

√ 2

A

1.4

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3
Q

√ 3

A

1.7

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4
Q

e

A

2.71

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5
Q

SUM of Interior Angles of a Polygon

A

S = (x - 2).180degrees

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6
Q

Area of Triangle

A

1/2 Base.Height

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7
Q

Circumference

A

2πr

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8
Q

Area of Circle

A

πr^2

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9
Q

Length of an Arc (*=degrees)

A

n/360 x 2πr

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10
Q

Area of Sector (Circle) (*=degrees)

A

1/2r^2.θ (in degrees)
or
n/360 x πr^2 (in radians)

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11
Q

Sphere Surface Area

A

4πr^2

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12
Q

Sphere Volume

A

4/3πr^3

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13
Q

Area of TRAPEZOID

A

(a + b)/2 . h
a = top length
b = bottom length

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14
Q

TRIG: 0 degrees…

A
radians = 0
sin = 0
cos = 1
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15
Q

TRIG: 30 degrees…

A
radians = π/6
sin = 1/2
cos = (√ 3)/2
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16
Q

TRIG: 45 degrees…

A
radians = π/4
sin = 1/√2
cos = 1/√2
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17
Q

TRIG: 60 degrees…

A
radians = π/3
sin = (√ 3)/2
cos = 1/2
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18
Q

TRIG: 90 degrees…

A
radians = π/2
sin = 1
cos = 0
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19
Q

Velocity =

A

Δx/t

displacement Δx / time

UNIT: m/s

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20
Q

Instantaneous Velocity =

A

assess the SLOPE of the graph @ that point in time.
the tangential line of the slope
rise/run

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21
Q

Acceleration =

A

Δv/Δt

V(final) - V(initial) / Δtime

UNIT: m/s^2

22
Q

Kinematic Formula 1. (missing Δx)

A

V = Vi + a.t

23
Q

Kinematic Formula 2. (missing a)

A

Δx = (Vf + Vi)/2.t

24
Q

Kinematic Formula 3. (missing Vf)

A

Δx = Vi.t + 1/2.a.t^2

25
Q

Kinematic Formula 4. (missing t)

A

Vf^2 = Vi^2 +2.a.Δx

26
Q

Force

A

F = ma

Force = Mass x Acceleration

UNIT: kg.m^2 …. = N

27
Q

Fn (Normal Force)…

A

Perpendicular force

28
Q

acceleration in relation to force…

A

a = ΣF/m

29
Q

Centripetal Acceleration…

A

Ac = v^2/r

30
Q

Centripetal Force…

A

Fc = m.v^2/r

31
Q

Gravitational Acceleration =

A

9.8m/s^2

32
Q

Gravitational Force of attraction between 2 masses.

A

F = G.m1.m2 / r^2

33
Q

Work

A

W = F.D .cosθ

Work = force x distance

W = m.g.h
W = m.v^2/2

UNIT: Nm … = Joule

34
Q

Gravitational Potential Energy

A

= m.g.h

35
Q

Power

A

P = W/t

UNIT: watts (watts = Joules/sec)

36
Q

Springs: Hooke’s Law …

A

F = -kx

37
Q

Instantaneous Power =

A

F.V.cosθ

38
Q

Momentum

A

Momentum = m.v

39
Q

Impulse

A

Impulse = Δmomentum

= F.Δt

40
Q

Torque

A

= F.r. sinθ

= force x radius x sinθ

@ Equilibrium —> ΣCCforces = ΣCforces

41
Q

Density (p)

A

p = m/v

density (p) = mass / volume

42
Q

Specific Gravity

A

SG = p (substance) / p (h2O)

43
Q

p (h2O)

A

Density of water = 1g/cm^3

= 1000kg/m^3

44
Q

Pressure

A

P = F/Area

UNIT: Pascal —> N/m^2

45
Q

Buoyant Force

A

F(buoyant) = m.g

46
Q

Archimedes Principle (in relation to Buoyant Force)

A

SG is equivalent to the fraction of the height of a buoyant object below the surface of the fluid.

Thus, if SG = 0.9 then 90% of the height would be immersed.

And obviously, if SG > 1 then more than 100% of the object’s height is immersed —> i.e. completely submerged!

47
Q

Frequency

A

Frequency (f) = number of cycles / time
= per second

UNIT: Hertz

48
Q

Period

A

Period (T) = duration of one cycle

= 1/f (INVERSE of FREQUENCY)

49
Q

Electric Current (I)

A

I = Q/t

Current = Charge / Time

UNIT: Amperes

50
Q

Ohm’s Law

re. V=…

A

V = I.R

Voltage = Current x Resistance

UNIT: volts

51
Q

Ohm’s Law

re. R=…

A

R = V/I

Resistance = voltage / Current (ampere)

UNIT: ohm (Ω)

52
Q

Magnification

A

M = -i/o

i = image distance
o = object distance

*For i and o: POSITIVE value = REAL image
NEGATIVE value = VIRTUAL image

**For M: POSITIVE = erect
NEGATIVE = inverted