X2 t06 03 circular motion (13)

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