x2 t06 03 circular motion (2012)
TRANSCRIPT
![Page 1: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/1.jpg)
Circular Motion
![Page 2: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/2.jpg)
Circular MotionAngular Velocity
![Page 3: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/3.jpg)
Circular MotionAngular Velocity
Or
Let O be the centre of a circle, radius r units.
![Page 4: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/4.jpg)
Circular MotionAngular Velocity
,where,in timetofrom movespoint theIf
AOPtPA
Or
Let O be the centre of a circle, radius r units.
A
P
![Page 5: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/5.jpg)
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
![Page 6: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/6.jpg)
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
![Page 7: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/7.jpg)
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
![Page 8: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/8.jpg)
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.
![Page 9: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/9.jpg)
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
![Page 10: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/10.jpg)
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
![Page 11: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/11.jpg)
rx
![Page 12: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/12.jpg)
rx
rdtdr
dtdx
![Page 13: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/13.jpg)
rx
rdtdr
dtdx
rvOR
rv
![Page 14: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/14.jpg)
rx
rdtdr
dtdx
rvOR
rv
Period
![Page 15: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/15.jpg)
rx
rdtdr
dtdx
rvOR
rv
Period
2
T (time taken for one revolution)
![Page 16: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/16.jpg)
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)
![Page 17: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/17.jpg)
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
![Page 18: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/18.jpg)
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
![Page 19: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/19.jpg)
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
![Page 20: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/20.jpg)
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
![Page 21: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/21.jpg)
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
km/h15000
60km/h602160
9000
![Page 22: X2 t06 03 circular motion (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052621/55896da3d8b42aed5a8b472f/html5/thumbnails/22.jpg)
km/hin 9000km,isradiusitsgiven that velocity,ltangentiassatellite' theFind b)
km/s2160
9000
rv
km/h15000
60km/h602160
9000
Exercise 9A; odd