Gamsat

Question 1

π (pi)

Answer 1

3.14

Question 2

√ 2

Answer 2

1.4

Question 3

√ 3

Answer 3

1.7

Question 4

e

Answer 4

2.71

Question 5

SUM of Interior Angles of a Polygon

Answer 5

S = (x - 2).180degrees

Question 6

Area of Triangle

Answer 6

1/2 Base.Height

Question 7

Circumference

Answer 7

2πr

Question 8

Area of Circle

Answer 8

πr^2

Question 9

Length of an Arc (*=degrees)

Answer 9

n/360 x 2πr

Question 10

Area of Sector (Circle) (*=degrees)

Answer 10

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

Question 11

Sphere Surface Area

Answer 11

4πr^2

Question 12

Sphere Volume

Answer 12

4/3πr^3

Question 13

Area of TRAPEZOID

Answer 13

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

Question 14

TRIG: 0 degrees…

Answer 14

radians = 0
sin = 0
cos = 1

Question 15

TRIG: 30 degrees…

Answer 15

radians = π/6
sin = 1/2
cos = (√ 3)/2

Question 16

TRIG: 45 degrees…

Answer 16

radians = π/4
sin = 1/√2
cos = 1/√2

Question 17

TRIG: 60 degrees…

Answer 17

radians = π/3
sin = (√ 3)/2
cos = 1/2

Question 18

TRIG: 90 degrees…

Answer 18

radians = π/2
sin = 1
cos = 0

Question 19

Velocity =

Answer 19

Δx/t

displacement Δx / time

UNIT: m/s

Question 20

Instantaneous Velocity =

Answer 20

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

Question 21

Acceleration =

Answer 21

Δv/Δt

V(final) - V(initial) / Δtime

UNIT: m/s^2

Question 22

Kinematic Formula 1. (missing Δx)

Answer 22

V = Vi + a.t

Question 23

Kinematic Formula 2. (missing a)

Answer 23

Δx = (Vf + Vi)/2.t

Question 24

Kinematic Formula 3. (missing Vf)

Answer 24

Δx = Vi.t + 1/2.a.t^2

Question 25

Kinematic Formula 4. (missing t)

Answer 25

Vf^2 = Vi^2 +2.a.Δx

Question 26

Force

Answer 26

F = ma Force = Mass x Acceleration UNIT: kg.m^2 .... = N

Question 27

Fn (Normal Force)...

Answer 27

Perpendicular force

Question 28

acceleration in relation to force...

Answer 28

a = ΣF/m

Question 29

Centripetal Acceleration...

Answer 29

Ac = v^2/r

Question 30

Centripetal Force...

Answer 30

Fc = m.v^2/r

Question 31

Gravitational Acceleration =

Answer 31

9.8m/s^2

Question 32

Gravitational Force of attraction between 2 masses.

Answer 32

F = G.m1.m2 / r^2

Question 33

Work

Answer 33

W = F.D .cosθ Work = force x distance ``` W = m.g.h W = m.v^2/2 ``` UNIT: Nm ... = Joule

Question 34

Gravitational Potential Energy

Answer 34

= m.g.h

Question 35

Power

Answer 35

P = W/t UNIT: watts (watts = Joules/sec)

Question 36

Springs: Hooke's Law ...

Answer 36

F = -kx

Question 37

Instantaneous Power =

Answer 37

F.V.cosθ

Question 38

Momentum

Answer 38

Momentum = m.v

Question 39

Impulse

Answer 39

Impulse = Δmomentum | = F.Δt

Question 40

Torque

Answer 40

= F.r. sinθ = force x radius x sinθ @ Equilibrium ---> ΣCCforces = ΣCforces

Question 41

Density (p)

Answer 41

p = m/v density (p) = mass / volume

Question 42

Specific Gravity

Answer 42

SG = p (substance) / p (h2O)

Question 43

p (h2O)

Answer 43

Density of water = 1g/cm^3 | = 1000kg/m^3

Question 44

Pressure

Answer 44

P = F/Area UNIT: Pascal ---> N/m^2

Question 45

Buoyant Force

Answer 45

F(buoyant) = m.g

Question 46

Archimedes Principle (in relation to Buoyant Force)

Answer 46

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!

Question 47

Frequency

Answer 47

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

Question 48

Period

Answer 48

Period (T) = duration of one cycle | = 1/f (INVERSE of FREQUENCY)

Question 49

Electric Current (I)

Answer 49

I = Q/t Current = Charge / Time UNIT: Amperes

Question 50

Ohm's Law | re. V=...

Answer 50

V = I.R Voltage = Current x Resistance UNIT: volts

Question 51

Ohm's Law | re. R=...

Answer 51

R = V/I Resistance = voltage / Current (ampere) UNIT: ohm (Ω)

Question 52

Magnification

Answer 52

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