Linear n Circular Motion

8/14/2019 Linear n Circular Motion

1/26

Kinematic motionKinematic motionLINEAR AND CIRCULARLINEAR AND CIRCULAR

MOTIONMOTION


2/26

Basic competence:Basic competence: Analyze physics quantities in rectilinear motion bothAnalyze physics quantities in rectilinear motion both

of no acceleration & constant accelerationof no acceleration & constant acceleration

Indicators:Indicators: Identify physic quantities of rectilinear motionIdentify physic quantities of rectilinear motion Analyze physic quantities of rectilinear motion withAnalyze physic quantities of rectilinear motion with

no accelerationno acceleration Analyze physic quantities of rectilinear motion withAnalyze physic quantities of rectilinear motion with

constant accelerationconstant acceleration Analyze the graphic of rectilinear motion with noAnalyze the graphic of rectilinear motion with no

acceleration and constant accelerationacceleration and constant acceleration

LINEAR MOTION


3/26

MOTIONMOTION

LINEAR

CIRCULAR

UNIFOR

MMOTION

FAST

UNIFORMMOTION

SLOW

UNIFORMMOTION

UNIFOR

MMOTION

FAST

UNIFORMMOTION

SLOW

UNIFORMMOTION


4/26

Parabolic functionParabolic function

Analyze the graph of Acceleratedmotion


5/26

Y = axY = ax22 + bx + c+ bx + c

yy

xx



6/26

s = ats = at22 + bt + c+ bt + c

ss

tt

Graph displacement againts timeGraph displacement againts time



7/26

S = u.t + .atS = u.t + .at22

With:With:

S=displacement (perpindahan)S=displacement (perpindahan)

u = initial velocity (kecepatan awal)u = initial velocity (kecepatan awal)

a =acceleration (percepatan)a =acceleration (percepatan)

t = timet = time (waktu)(waktu)


8/26

ExampleExample

A train travelling at 20 m/s acceleratesA train travelling at 20 m/s accelerates

at 0.5 m/sat 0.5 m/s22 for 30 seconds. How far willfor 30 seconds. How far will

it travel in this time?it travel in this time?

S=S= u.t + .atu.t + .at22

S=S= 20.30 + (0.5)(30)20.30 + (0.5)(30)22

S= 600 + 225 = 825 mS= 600 + 225 = 825 m


9/26

Linear function: y = mx + cLinear function: y = mx + c

yy

xx


10/26

Graph velocity againts timeGraph velocity againts time

Velocity function: v = u + atVelocity function: v = u + at

vv

tt


11/26

Velocity function: v = u + atVelocity function: v = u + at

With:With: With:With: u = initial velocity (kecepatan awal)u = initial velocity (kecepatan awal)

V = final velocity (kecepatan akhir)V = final velocity (kecepatan akhir) a =acceleration (percepatan)a =acceleration (percepatan) t = timet = time (waktu)(waktu)


12/26

ExampleExample

A car is initially stationary. It movesA car is initially stationary. It moves

with acceleration 2 m/swith acceleration 2 m/s22. How fast will. How fast will

it be moving after 10 seconds?it be moving after 10 seconds?

V = u + a.tV = u + a.t

V = 0 + 2.10V = 0 + 2.10 V = 20 m/sV = 20 m/s


13/26

Fast and slow uniformly motionFast and slow uniformly motion

S=displacement (perpindahan)S=displacement (perpindahan) u = initial velocity (kecepatan awal)u = initial velocity (kecepatan awal) V = final velocity (kecepatan akhir)V = final velocity (kecepatan akhir) a =acceleration (percepatan)a =acceleration (percepatan) t = timet = time (waktu)(waktu)

S = u.t + .atS = u.t + .at22

v = u + atv = u + at

vv22 u u22 = 2as= 2as

S = u.t - .atS = u.t - .at22

v = u - atv = u - at

vv22 u u22 = - 2as= - 2as

SLOWFAST


14/26

ContohContoh

Sebuah kelereng dilempar vertikal keSebuah kelereng dilempar vertikal keatas dengan kecepatan 20 m/s.atas dengan kecepatan 20 m/s.Tentukan kecepatan dan ketinggianTentukan kecepatan dan ketinggian

kelereng setelah 1 detik.kelereng setelah 1 detik. Diketahui: u=20 m/sDiketahui: u=20 m/s g = 10 m/sg = 10 m/s22

t = 1 st = 1 s

Ditanya: v dan hDitanya: v dan hJawab:Jawab:


15/26

CIRCULAR MOTIONCIRCULAR MOTION

Basic competence:Basic competence: 2.2 Analyze physics quantities in2.2 Analyze physics quantities incircular motion withcircular motion with

constant speedconstant speed

Indicators:Indicators:

Identify the frequency, period, and angular displacement inIdentify the frequency, period, and angular displacement incircular motion with constant speedcircular motion with constant speed

Analyze physics quantities & its relationship betweenAnalyze physics quantities & its relationship betweenrectilinear motion & circular motion with constant speedrectilinear motion & circular motion with constant speed

Apply the physics quantities in joining wheels systemApply the physics quantities in joining wheels system ObjectivesObjectives Can define and apply the concepts of kinematics in circularCan define and apply the concepts of kinematics in circular

motionmotion


16/26

Angular displacementAngular displacement

Angular position is symbolyzed byAngular position is symbolyzed by and the unit is degree or radianand the unit is degree or radian

I rotation is 360I rotation is 36000

or 2 radianor 2 radian which easily simplifies to = 2.which easily simplifies to = 2.

Therefore 1 revolution is 2 radians.Therefore 1 revolution is 2 radians.


17/26

= = 22 11

which equals the Angularwhich equals the Angular

Displacement.Displacement.

Angular displacementAngular displacement


18/26

Example

Change the units into radian

1. 300

2. 1200

3. 1/6 rotation

Change the units into degree

1. radian 2. 4 /3 radian

3. rotation


19/26

Angular velocityAngular velocity

== / t/ t

: angular velocity (rad/s): angular velocity (rad/s) : angular displacement (rad): angular displacement (rad)

t : time (s)t : time (s)


20/26

Linear displacementLinear displacement

S : linear displacement(m)

r : radius (m)

: angulardisplacement(rad)

v : linear velocity (m/s)

r : radius (m)

: angular velocity (rad/s)r

v=

Linear velocity


21/26

Period and FrequencyPeriod and Frequency

T = t / n and f = n / t

Where is:

T = Periods

f = frequency

n = number of rotationt = time elapsed


22/26

Joining Wheel systemJoining Wheel system

21 =

2

2

1

1

r

v

r

v

=

Same axis


23/26


2211.. rr =

21 vv=

Side byside


24/26


21vv =

2211

.. rr =

Joining with chain


25/26

ANNOUNCEMENTANNOUNCEMENT

Next meeting: Daily test-3Next meeting: Daily test-3

Materials : Kinematic motionMaterials : Kinematic motion

(linear and circular motion)(linear and circular motion)

Test Preparation Sheet will be shown in myTest Preparation Sheet will be shown in my

blogsoonblogsoon


26/26

Jadwal remedial (pulang sekolah)Jadwal remedial (pulang sekolah)

Selasa/ 27 okt: kelas 10.6 dan 10.9Selasa/ 27 okt: kelas 10.6 dan 10.9 Rabu/ 28 okt: kelas 10.5 dan 10.1Rabu/ 28 okt: kelas 10.5 dan 10.1 kamis/ 29 okt: kelas 10.4, 10.2 dankamis/ 29 okt: kelas 10.4, 10.2 dan

10.810.8 Sabtu/ 31 okt: kelas 10.3 dan 10.7Sabtu/ 31 okt: kelas 10.3 dan 10.7

Ruang: Multimedia 1Ruang: Multimedia 1 Materi yg diujikan: Materi UH-1 danMateri yg diujikan: Materi UH-1 dan

Mid testMid test

Documents

Linear n Circular Motion