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 time to from movespoint theIf

AOPtPA

Or

Let O be the centre of a circle, radius r units.

A

P

Circular MotionAngular Velocity

,

where, in time to from 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 time to from 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 time to from 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 time to from 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 time to from 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 time to from 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

rv

OR

rv

rx

rdtdr

dtdx

rv

OR

rv

Period

rx

rdtdr

dtdx

rv

OR

rv

Period

2T (time taken for one revolution)

rx

rdtdr

dtdx

rv

OR

rv

Period

2T (time taken for one revolution)

e.g. A satellite moves in a circular orbit of 20 rev/day

rad/sin Describe a)

rx

rdtdr

dtdx

rv

OR

rv

Period

2T (time taken for one revolution)

e.g. A satellite moves in a circular orbit of 20 rev/day

rad/sin Describe a) rad/day 220

rx

rdtdr

dtdx

rv

OR

rv

Period

2T (time taken for one revolution)

e.g. A satellite moves in a circular orbit of 20 rev/day

rad/sin Describe a) rad/day 220

rad/s2160

rad/s 606024

220

km/hin

9000km, is radius its given that velocity,l tangentiassatellite' theFind b)

km/hin

9000km, is radius its given that velocity,l tangentiassatellite' theFind b)

km/s2160

9000

rv

km/hin

9000km, is radius its given that velocity,l tangentiassatellite' theFind b)

km/s2160

9000

rv

km/h15000

60km/h602160

9000

km/hin

9000km, is radius its given that velocity,l tangentiassatellite' theFind b)

km/s2160

9000

rv

km/h15000

60km/h602160

9000

Exercise 9A; odd