CIRCULAR MEASURE
Linear Displacement Displacement in a straight line
Linear velocity Rate of change of angular displacement
Angular Displacement Anglesubtended at the centre when an object movesfrom
position A to position B on a circular track
Angular velocity Rate of change of angular displacement W O t
For A complete revolution W It T We 298
v rW s linear velocity radius x angular velocity
CentripetalForce Force requiredfor an
t XY Z havethesame object to move in a circle Is directedtowards
hey
one centre or the circle
2 Fc MrW
Vx Ny Ve as Fe Fe Mv w
If In verw considering
my
theradiusratio Centripetal acceleration F ma
Conical Pendulum ma mu r mas mrw mas mu w
a r as rw a NW
Radian Anglesuspended at the centre of a
F Fc sine circle by an arc equal to its radius
vertical Circular motion
T W COSA Tmax MY't 008180
gooo mg
Feng
Tan Imax tm900270 Imax Yu
p kg Tma
mg
Mmg
Tano Tan 0270 I p 0900TmaxMftmgeos
90
vg w Tmax Niv
p vitoFe T woos
r
HorizontalCircular Motion go
Imax Mf mglosco Tmax ME1mgCos
I Fc T
Iw 1 Mv2
Imax
my mg
r
, GRAVITATION
Newton's law ofGravitation Force of attractionbtw two pointmasses
is directly proportional to the product of the masses and inversely Fa GMima
proportional to the square of the distance btw their centres R2
Earth moon
Relationship b w g anda null Point
W a Earth moon
pint gig
objectof
magcon mass m
Mlg Amfm
id Atthe null point t Fr distance'm
in
g GM
R2 MELHEM
ofspace where amassexperiences aforce
GravitationalField Region
Gravitational FieldStrength
g Force ofattraction experiencedby a unitman placedwithinthefield
Satelliteorbitting a planet Geostationary Orbit equatorial orbit aboveequator
satellite satellitemoves fromwesttoeast samedirectionas Earth
period is 24 hours same period as spinningon Earth
FcFa
m ma Gravitational potential 0 GM
ay GMT
0 at infinity is zero awayfrominfinity it becomes ve
M G Wi 913
work is done by the field to move unit mass
towards the sourcemass o
KE 0.5
mus
KE 0.5m Ft
24 93 DO Of 08
KE T2 DO GE far
MI Im
so am r a n
Gravitational PotentialEnergy work done in moving a point mass from
infinity to a point within the gravitational field eaknw 0
Escape velocity gg moon
GaininGPElossinKE at surface
3ham g Gig GREGME
oedaugto
X
g lg matmvesi
ME Gm Re o Vest 2 Vest GERE Ferpositionosboth
Omdgento
Vesc µ
129ft
Linear Displacement Displacement in a straight line
Linear velocity Rate of change of angular displacement
Angular Displacement Anglesubtended at the centre when an object movesfrom
position A to position B on a circular track
Angular velocity Rate of change of angular displacement W O t
For A complete revolution W It T We 298
v rW s linear velocity radius x angular velocity
CentripetalForce Force requiredfor an
t XY Z havethesame object to move in a circle Is directedtowards
hey
one centre or the circle
2 Fc MrW
Vx Ny Ve as Fe Fe Mv w
If In verw considering
my
theradiusratio Centripetal acceleration F ma
Conical Pendulum ma mu r mas mrw mas mu w
a r as rw a NW
Radian Anglesuspended at the centre of a
F Fc sine circle by an arc equal to its radius
vertical Circular motion
T W COSA Tmax MY't 008180
gooo mg
Feng
Tan Imax tm900270 Imax Yu
p kg Tma
mg
Mmg
Tano Tan 0270 I p 0900TmaxMftmgeos
90
vg w Tmax Niv
p vitoFe T woos
r
HorizontalCircular Motion go
Imax Mf mglosco Tmax ME1mgCos
I Fc T
Iw 1 Mv2
Imax
my mg
r
, GRAVITATION
Newton's law ofGravitation Force of attractionbtw two pointmasses
is directly proportional to the product of the masses and inversely Fa GMima
proportional to the square of the distance btw their centres R2
Earth moon
Relationship b w g anda null Point
W a Earth moon
pint gig
objectof
magcon mass m
Mlg Amfm
id Atthe null point t Fr distance'm
in
g GM
R2 MELHEM
ofspace where amassexperiences aforce
GravitationalField Region
Gravitational FieldStrength
g Force ofattraction experiencedby a unitman placedwithinthefield
Satelliteorbitting a planet Geostationary Orbit equatorial orbit aboveequator
satellite satellitemoves fromwesttoeast samedirectionas Earth
period is 24 hours same period as spinningon Earth
FcFa
m ma Gravitational potential 0 GM
ay GMT
0 at infinity is zero awayfrominfinity it becomes ve
M G Wi 913
work is done by the field to move unit mass
towards the sourcemass o
KE 0.5
mus
KE 0.5m Ft
24 93 DO Of 08
KE T2 DO GE far
MI Im
so am r a n
Gravitational PotentialEnergy work done in moving a point mass from
infinity to a point within the gravitational field eaknw 0
Escape velocity gg moon
GaininGPElossinKE at surface
3ham g Gig GREGME
oedaugto
X
g lg matmvesi
ME Gm Re o Vest 2 Vest GERE Ferpositionosboth
Omdgento
Vesc µ
129ft
