Date post: | 23-Jun-2015 |
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Circular Motion
Circular MotionAngular Velocity
Circular MotionAngular Velocity
Or
Let O be the centre of a circle, radius r units.
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
Or
Let O be the centre of a circle, radius r units.
A
P
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
Or
Let O be the centre of a circle, radius r units.
A
P
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
dtd
Or
Let O be the centre of a circle, radius r units.
A
P
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
dtd
Linear Velocity (Tangential Velocity)
Or
Let O be the centre of a circle, radius r units.
A
P
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
dtd
Linear Velocity (Tangential Velocity)
Or
Let O be the centre of a circle, radius r units.
A
P
The linear velocity, v, of the point at every position on its path is tangential to the circle.
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
dtd
Linear Velocity (Tangential Velocity)
Or
Let O be the centre of a circle, radius r units.
A
P
The linear velocity, v, of the point at every position on its path is tangential to the circle.
v
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
condradians/sein measured time.respect to
with of change of rate theas defined ispoint theof,locity,angular ve n the the
dtd
Linear Velocity (Tangential Velocity)
Or
Let O be the centre of a circle, radius r units.
A
P
The linear velocity, v, of the point at every position on its path is tangential to the circle.
Let arc AP = x
v
rx
rx
rdtdr
dtdx
rx
rdtdr
dtdx
rvOR
rv
rx
rdtdr
dtdx
rvOR
rv
Period
rx
rdtdr
dtdx
rvOR
rv
Period
2
T (time taken for one revolution)
rx
rdtdr
dtdx
rvOR
rv
Period
2
T (time taken for one revolution)
e.g. A satellite moves in a circular orbit of 20 rev/dayrad/sin Describe a)
rx
rdtdr
dtdx
rvOR
rv
Period
2
T (time taken for one revolution)
e.g. A satellite moves in a circular orbit of 20 rev/dayrad/sin Describe a)
rad/day220
rx
rdtdr
dtdx
rvOR
rv
Period
2
T (time taken for one revolution)
e.g. A satellite moves in a circular orbit of 20 rev/dayrad/sin Describe a)
rad/day220
rad/s2160
rad/s 606024
220
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
km/h15000
60km/h602160
9000
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
km/h15000
60km/h602160
9000
Exercise 9A; odd