Linear N Circular Motion

Kinematic motion LINEAR AND CIRCULAR MOTION

LINEAR MOTION  

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Basic competence: Analyze physics quantities in rectilinear motion both of no acceleration & constant acceleration Indicators: Identify physic quantities of rectilinear motion Analyze physic quantities of rectilinear motion with no acceleration Analyze physic quantities of rectilinear motion with constant acceleration Analyze the graphic of rectilinear motion with no acceleration and constant acceleration

MOTION LINEA R

UNIFOR M MOTION

FAST UNIFOR M MOTION

CIRCULAR

SLOW UNIFOR M MOTION

UNIFOR M MOTION

FAST UNIFOR M MOTION

SLOW UNIFOR M MOTION

Analyze the graph of Accelerated motion

Parabolic function

Analyze the graph of Accelerated motion

y

x

Y = ax2 + bx + c

Analyze the graph of Accelerated motion

s

s = at2 + bt + c

t Graph displacement againts time

S = u.t + ½.at2 With: S=displacement (perpindahan) u = initial velocity (kecepatan awal) a =acceleration (percepatan) t = time (waktu)

Example 

A train travelling at 20 m/s accelerates at 0.5 m/s2 for 30 seconds. How far will it travel in this time?

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S= u.t

+ ½.at2  S= 20.30 + ½(0.5)(30)2 

S= 600 + 225 = 825 m

y

x

Linear function: y = mx + c

Graph velocity againts time v

t

Velocity function: v = u + at

Velocity function: v = u + at With:  With:  u = initial velocity  V = final velocity  a =acceleration  t = time

(kecepatan awal) (kecepatan akhir) (percepatan) (waktu)

Example 

A car is initially stationary. It moves with acceleration 2 m/s2. How fast will it be moving after 10 seconds?

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V = u + a.t V = 0 + 2.10 V = 20 m/s

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Fast and slow uniformly motion FAST

S = u.t + ½.at2 v = u + at v2 – u2 = 2as

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SLOW

S = u.t - ½.at2 v = u - at v2 – u2 = - 2as

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

Contoh 

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Sebuah kelereng dilempar vertikal ke atas dengan kecepatan 20 m/s. Tentukan kecepatan dan ketinggian kelereng setelah 1 detik. Diketahui: u=20 m/s g = 10 m/s2 t=1s Ditanya: v dan h Jawab:

CIRCULAR MOTION  

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Basic competence: 2.2 Analyze physics quantities in circular motion with constant speed Indicators: Identify the frequency, period, and angular displacement in circular motion with constant speed Analyze physics quantities & its relationship between rectilinear motion & circular motion with constant speed Apply the physics quantities in joining wheels system Objectives Can define and apply the concepts of kinematics in circular motion

Angular displacement 

Angular position is symbolyzed by Ө and the unit is degree or radian

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I rotation is 3600 or 2π radian which easily simplifies to θ = 2π. Therefore 1 revolution is 2π radians.

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Angular displacement

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Δθ = θ2 − θ1

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which equals the Angular Displacement.

π

Example    

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Change the units into radian 1. 300 2. 120 0 3. 1/6 rotation

π π

Change the units into degree 1. radian 2. 4 /3 radian 3. ¼ rotation

Angular velocity 

ω=Ө/t

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ω : angular velocity (rad/s) Ө : angular displacement (rad) t : time (s)

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Linear displacement S : linear displacement (m) r : radius (m) θ : angular displacement(rad)

Linear velocity

v ω= r

v : linear velocity (m/s) r : radius (m) ω: angular velocity (rad/s)

Period and Frequency T = t / n and Where is:

f=n/t

T = Periods f = frequency n = number of rotation t = time elapsed

Joining Wheel system Same axis

ω1 = ω 2 v1 v 2 = r1 r2

Joining Wheel system Side by side

v1 = v 2

r1 .ω 1 = r2 .ω 2

Joining Wheel system Joining with chain

v1 = v 2 r1 .ω 1 = r2 .ω 2

ANNOUNCEMENT   

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Next meeting: Daily test-3 Materials : Kinematic motion (linear and circular motion) Test Preparation Sheet will be shown in my blog…soon…

Jadwal remedial (pulang sekolah)   

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Selasa/ 27 okt: kelas 10.6 dan 10.9 Rabu/ 28 okt: kelas 10.5 dan 10.1 kamis/ 29 okt: kelas 10.4, 10.2 dan 10.8 Sabtu/ 31 okt: kelas 10.3 dan 10.7 Ruang: Multimedia 1 Materi yg diujikan: Materi UH-1 dan Mid test