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LESSON PLAN
This lesson plan is arranged to complete final task
Subject : Teaching Physics in English
Lecturer : Tatik Juwariyah, M. Sc
Name : Indah Putri Pratiwi
NIM : 09690033
Major : Physics Education
PHYSICS EDUCATION
SCIENCE AND TECHNOLOGY FACULTY
ISLAMIC STATE UNIVERSITY
YOGYAKARTA
2012
LESSON PLAN
School
: Majenang High School
Subject
: Physics
Topics
: Circular Motion
Grade/Program
: X/ Science
Semester
: 1st
Meeting
: 6th
Time
: 4 x 45 minutes (twice meeting)
1. Standard of Competency
1.1 To apply concept and basic principle of kinematics and dynamics body as point.
2. Base Competency
2.1 To analyze physics quantity of circular motion with constant velocity and constant
acceleration
2.2 To apply concept of circular motion in daily activities
3. Indicators
First meeting (2x45 minutes)
3.1 To define the definition of circular motion.
3.2 To explain the difference between circular motion and rectilinear motion.
3.3 To calculate frecuency, angular speed, period, centripetal acceleration, and angle in
the uniform circular motion.
3.4 To indicate the relation between angular speed and linear velocity, angular
acceleration and linear acceleration.
Second meeting (2x45 minutes)
3.5 To explain the difference between uniform circular motion and nonuniform circular
motion.
3.6 To compare the equation of position, velocity, and acceleration in the regular
changing rectilinear motion and angle, angular speed, and angular acceleration in the
nonuniform circular motion.
3.7 To calculate angle, angular speed, and angular acceleration at t time in the
nonuniform circular motion.
3.8 To compare angular speed and linear velocity in the relation of wheels motion.
4. Aims of Instructional
First meeting (2x45 minutes)
4.1 Students should be able to explain the difference between uniform circular motion
and nonuniform circular motion
4.2 Students should be able to explain the difference between circular motion and
rectilinear motion.
4.3 Students should be able to calculate frecuency, angular speed, period, centripetal
acceleration, and angle in the uniform circular motion.
4.4 Students should be able to indicate the relation between angular speed and linear
velocity, angular acceleration and linear acceleration.
Second meeting (2x45 minutes)
4.5 Students should be able to explain the difference between uniform circular motion
and nonuniform circular motion.
4.6 Students should be able to compare the equation of position, velocity, and
acceleration in the regular changing rectilinear motion and angle, angular speed, and
angular acceleration in the nonuniform circular motion.
4.7 Students should be able to calculate angle, angular speed, and angular acceleration at
t time in the nonuniform circular motion. The relation of wheels motion.
4.8 Students should be able to compare angular speed and linear velocity in
5. Main of Instructional
5.1 Uniform Circular Motion
5.2 Nonuniform Circular Motion
5.3 The Relation of Wheels Motion
6. Material of Instructional
6.1 Uniform Circular Motion
ο‚·
In Uniform circular motion, its linear speed is constant, while its linear velocity
always changes.
ο‚·
The equation of angle is define by:
πœƒ = πœ”π‘‘
Explanation:
θ
= angle (rad)
ω = angular speed (rad/sec)
t = time (sec)
ο‚·
The relation between the angle and with the path length is define by:
𝑠 = πœƒπ‘…
ο‚·
The relation between angle degree units and radian
360° = 2πœ‹ π‘Ÿπ‘Žπ‘‘
1 π‘Ÿπ‘Žπ‘‘ =
ο‚·
360°
= 57.3°
2πœ‹
The relation between linear speed or translational and angular velocity:
𝑠 = πœƒπ‘…
βˆ†π‘  βˆ†πœƒ
=
𝑅
βˆ†π‘‘ βˆ†π‘‘
𝑣 = πœ”π‘…
Explanation:
ω = angular speed (rad/sec)
v = linear speed (m/s)
ο‚·
In uniform circular motion, there is period T. Period is the time required for one
complete revolution. Meanwhile, angular velocity is an angular magnitude which
is travel distance per unit time. The relation between angular velocity and period
is as follows
πœ”=
2πœ‹
π‘œπ‘Ÿ πœ” = 2πœ‹π‘“
𝑇
Explanation :
T = period (s)
f = frequency (Hz)
ο‚·
The unit convertion from rps (revolution per second) to rpm (revlution per minute)
1 π‘Ÿπ‘π‘  = 60 π‘Ÿπ‘π‘š
1 π‘Ÿπ‘π‘  = 2πœ‹
ο‚·
π‘Ÿπ‘Žπ‘‘
π‘Ÿπ‘Žπ‘‘
= 120πœ‹
𝑠
π‘šπ‘–π‘›π‘’π‘‘π‘’
Centripetal Acceleration
The direction of centripetal acceleration always strives to the center. The
centripetal acceleration is formulted
π‘Žπ‘  = πœ”π‘£ = πœ”2 𝑅 =
𝑣2
𝑅
6.2 Nonuniform Circular Motion
•
The formulation of speed, path length, and the quantity of traveled angle basically
is equal to the formulation for the regular change rectilinear motion. Linear speed
and length path after t unit of time is formulated as follows
πœ”π‘‘ = πœ”0 + 𝛼𝑑
1
πœƒ = πœ”0 𝑑 + 𝛼𝑑 2
2
•
The relation between the quantity of angular acceleration and linear acceleration is
define by
𝑣 = πœ”π‘…
βˆ†π‘£ βˆ†πœ”
=
𝑅
βˆ†π‘‘
βˆ†π‘‘
π‘Ž = 𝛼𝑅
6.3 The Relation of Wheels
ο‚·
Two wheels or more that have one axle, will be valid the following relation
πœ”π΄ = πœ”π΅
𝑣𝐴
B
A.
𝑅𝐴
𝑣
= 𝑅𝐡 ; 𝑣𝐴 ≠ 𝑣𝐡
𝐡
ο‚·
Two wheels or more that have contact will be valid the following equation
πœ”π΄ ≠ πœ”π΅
ο‚·
𝑣𝐴 = 𝑣𝐡 π‘œπ‘Ÿ πœ”π΄ 𝑅𝐴 = πœ”π΅ 𝑅𝐡
B
A.
Two wheels or more that connected with a rope will be valid the following
equation
πœ”π΄ ≠ πœ”π΅
B
A.
𝑣𝐴 = 𝑣𝐡 π‘œπ‘Ÿ πœ”π΄ 𝑅𝐴 = πœ”π΅ 𝑅𝐡
7. Instructional Model
7.1 Mind Map
7.2 Direct Instruction
7.3 Discussion
8. Learning Activities
First meeting (2x45 minutes)
Teacher’s activities
Opening
Students’s activities
ο‚·
Greeting
ο‚·
Respon greeting
ο‚·
Pray together
ο‚·
Pray together
ο‚·
Checking
ο‚·
of
student’s ο‚·
Raise
the
hand
Time
if
persence
his/her name was called
Tell about the purpose of ο‚·
Listen seriously
lesson
and
give
to
students
motivation
study more and more
ο‚·
Ask
some
questions ο‚·
Give attention
about circular motion that ο‚·
Answer
will give aperception to
questions
students
their knowledge
teacher’s
according
15
minuets
Main activities
ο‚·
Explain about material ο‚·
Give attention
globally by using mind
60
map.
ο‚·
Explain
circular ο‚·
about
motion and the difference
Listen
well
and
attentively
between circular motion
and rectilinear motion.
ο‚·
Give time to students for ο‚·
Think about what that
asking
unknowns
something
that
unknowns
from
the
material that have been
told by teacher
ο‚·
Continuing study about ο‚·
Listen
uniform circular motion
attentively
well
and
and its quantity, such as
angle, frequency, angular
speed,
periode,
centripetal
and
acceleration.
Also give example, and
the way how to solve that
ο‚·
Give time to students for ο‚·
Think about what that
asking
unknowns
something
that
unknowns
from
the
material that have been
told by teacher
ο‚·
Indicate
the
relation ο‚·
between angular speed
and
linear
Listen
well
and
attentively
velocity,
angular acceleration and
linear acceleration.
ο‚·
Organize students to form ο‚·
Collect with their group
some group
ο‚·
Give
tasks
about
the ο‚·
material that have been
Do the tasks with their
group
minutes
told and ask students to
discuss that
ο‚·
Closing
ο‚·
Give time to each group ο‚·
Give attention and ask
to present their answer as
what
the result of discussion.
from the tasks
Guide
to ο‚·
students
conclude the materi that
have
been
told
that
Conclude
unknowns
the
materi
that have been studied
and
15
discussed
ο‚·
Ask students to restudy ο‚·
minutes
Listen well
about material that have
been studied
ο‚·
Closing
saying ο‚·
by
hamdallah and salam
Say
hamdallah
and
answering salam
Second meeting (2x45 minutes)
Techer’s activities
Opening
Students’s activities
ο‚·
Greeting
ο‚·
Respon greeting
ο‚·
Pray together
ο‚·
Pray together
ο‚·
Checking
ο‚·
of
student’s ο‚·
Raise
the
Time
15
minuets
hand
if
persence
his/her name was called
Tell about the purpose of ο‚·
Listen seriously
lesson
and
give
to
students
motivation
study more and more
ο‚·
Review
about
the ο‚·
Listen well
previous material
Main activities
ο‚·
Explain
Nonuniform
about ο‚·
circular
motion and indicate the
difference
between
uniform circular motion
and nonuniform circular
Listen
seriously
well
and
60
minuets
motion.
ο‚·
Give time to students for ο‚·
Think about what that
asking
unknowns
something
that
unknowns
from
the
material that have been
told by teacher
ο‚·
Continuing study about ο‚·
Listen
the
attentively
equation
nonuniform
of
well
and
circular
motion, such as angle,
angular
speed,
and
angular acceleration at t
time. Also give example,
and the way how to solve
that
ο‚·
Give time to students for ο‚·
Think about what that
asking
unknowns
something
that
unknowns
from
the
material that have been
told by teacher
ο‚·
Compare
velocity
the
and
linear ο‚·
angular
Listen
well
and
attentively
speed in the relation of
wheels motion principle.
ο‚·
Give
tasks
about
the
material that have been ο‚·
Write the question
told
ο‚·
Give time to student to
ο‚·
Do the task
ο‚·
Pay
answer the task
ο‚·
Ask some students to
come forward to write
their answer in the white
board.
attention
and
compare their answer
with
answer
their
friends’s
ο‚·
Explain the right answer
ο‚·
Listen
well
and
the
materi
attentively
Closing
ο‚·
Guide
to ο‚·
students
conclude the materi that
Conclude
that have been studied
15
minuets
have been told.
ο‚·
Ask students to restudy ο‚·
Listen well
about material that have
been studied
ο‚·
Closing
by
saying ο‚·
hamdallah and salam
Say
hamdallah
and
answering salam
9. References
9.1 Purwanto, Budi. 2009. Theory and Application of Physics for Grade X of Senior High
School and Islamic Senior High School. Solo: Tiga Serangkai.
9.2 Students worksheet
10. Evaluation
10.1 Cognitif Assessment
Put a cross mark (x) on letter a, b, c, d, or e in the correct answer.
1. In Uniform circular motion the following quantities which are constant, except...
a. Frequency
b. Centripetal acceleration
c. speed
d. angular velocity
e. linear velocity
2. An object is bind with a rope, then it is spinning horizontal. If the object is spinning
with constant frequency and the rope length is twice from the beginning, the quantity
of the object linear velocity becomes...
a. Twice from the beginning
b. Three from the beginning
c. Four from the beginning
d. Five from the beginning
e. Six from the beginning
3. In uniform circular motion, the centripetal acceleration is...
4.
5.
6.
7.
8.
9.
a. Its direction always touches the path
b. Its direction alwayscome out the circle
c. Changes the quantity of linear velocity
d. Changes the angular velocity
e. Changes the direction of linear velocity
An object rotates with speed 20 rps. If the path radius is 50 cm, the centripetal
acceleration of the object is...
a. 80 π m/s2
b. 160 π m/s2
c. 800 π m/s2
d. 800 π2 m/s2
e. 1.600 π2 m/s2
A particle rotate with 2 rps in the circular path with the radius 8 m.The particle has
angular velocity andlinear velocity as muc as....
a. 4 π rad/s and 32 π m/s
b. 8 π rad/s and 4 π m/s
c. 16 π rad/s and 32 π m/s
d. 24 π rad/s and 16 π m/s
e. 32 π rad/s and 4 π m/s
In the Bohr atom model, an electron move around the proton in circular orbit with the
5.29 x 10-11 m and its speed are 2.18 x 106 m/s. The centripetal acceleration of the
electrons is...
a. 10.21 x 1021 ms-2
b. 9.89 x 1022 ms-2
c. 8.09 x 1022 ms-2
d. 8.98 x 1022 ms-2
e. 7.98 x 1022 ms-2
A satellite orbited on the earth surface in the 600 km high. The time needed to travel
one time rotation is 90 minutes. The satelite speed is...
a. 986 m/s
b. 968 m/s
c. 869 m/s
d. 689 m/s
e. 698 m/s
A wheel rotated with 1,800 rpm speed slowing down with homogenous speed into
900 rpmin 2seconds. Amount rotation that the wheel travelled in 2 seconds is...
a. 415/ π
b. 45
c. 45/ π
d. 90
e. 90/ π
Wheel A and B are contacted each other so if A rotates, B will rotate too. The radius
of wheel A is 6 cn, and the radius of wheel B is 4 cm. If the wheel A frequency is 8
Hz, the angular speed of wheel A and B are...
a. 16 π rad/s and 26 π rad/s
b. 16 π rad/s and 24 π rad/s
c. 24 π rad/s and 16 π rad/s
d. 24 π rad/s and 36 π rad/s
e. 36 π rad/s and 45 π rad/s
10. Wheel B and C have one axis and rotate together. Wheel A and B are conected chain.
If RA = 25cm, RB=15 cm, RC=40 cm, and wheel C is turning 60 rpm, the angular
velocity of wheel A is...
a. 5 π/6 rad/s
b. 6 π/5 rad/s
c. 3π/2 rad/s
d. 2 rad/s
e. 5 π rad/s
Solve the problems based on the instruction.
1. A wheel with radius 20 cm, rotating on its axis with speed 6,000/ π rpm. Determine
a. Its angular speed, frequuency, and period;
b. A linear speed of a point on a wheel and the travel path length in 10 seconds;
c. Rotation number in 10 seconds
2. A wheel has radius 1 m, is moving with the first speed 50 rot/s. In 10 seconds, speed
became 20 rot/s. Howmuch is
a. The linear speed of a point on the radius end;
b. The linear acceleration or the angular acceleration;
c. How long the wheel will stop;
d. The revolution until it will stop.
3. An antique bicycle moves with the speed 36 km/hour. Yhe bicycle has big radius as
R1= 50 cm and small radius R2= 10 cm.
a. Calculate the turning speed of wheel 1 and wheel 2
b. Calculate the rotation number of wheel 1 and wheel 2 in 15 minutes.
10.2
Phycomotoric Assessment
Score
Num
Performance
ber
1
1.
Skill on experiment
2.
Cooperation on experiment
2
Assessment directive :
Num
Aspect
Criteria
Score
ber
1.
2.
Skill on measurement dan doing Fast and correct
the task
Do not quite fast and corret
Cooperation in experiment
4
3
Slow and correct
2
Good cooperation
4
Do not quiet cooperation
3
No coopertaion
2
Maximum Score 8
Psycomotoric Score =
π‘ π‘π‘œπ‘Ÿπ‘’ π‘‘π‘œπ‘‘π‘Žπ‘™ π‘‘β„Žπ‘Žπ‘‘ 𝑠𝑑𝑒𝑑𝑒𝑛𝑑 ′ 𝑣 π‘”π‘œπ‘‘
π‘šπ‘Žπ‘₯π‘–π‘šπ‘’π‘š π‘ π‘π‘œπ‘Ÿπ‘’
× 100
Psycomotoric Score > 80, passed
score 60 – 74
=C
score 75 - 85
=B
score 86 - 100
=A
10.3 Affective Assessment
Score
Num
Attitude
ber
1
1
Attendance
2
Manner in learning proses
3
Manner on asking
4
Cooperation
2
3
Num
Aspect
Criteria
Score
ber
1
2
3
4
Attendance
Manner in learning proses
Manner on asking
Cooperation
Discipline
3
Do not quite discipline
2
Indisciplinary
1
Good manner
3
Do not quite manner
2
Impolite
1
Good manner
3
Do not quite manner
2
Impolite
1
Favourable
3
Do not quite favourable
2
Unfavourable
1
Maksimum Score 12
Affective Score =
Criteria of Score :
π‘ π‘π‘œπ‘Ÿπ‘’ π‘‘π‘œπ‘‘π‘Žπ‘™ π‘‘β„Žπ‘Žπ‘‘ 𝑠𝑑𝑒𝑑𝑒𝑛𝑑 ′ 𝑣 π‘”π‘œπ‘‘
π‘šπ‘Žπ‘₯π‘–π‘šπ‘’π‘š π‘ π‘π‘œπ‘Ÿπ‘’
Score 86 - 100 = A
Score 75 - 85 = B
Score 60 – 74
=C
Score < 60
=D
× 100
Yogyakarta, 15 Januari 2012
Headmaster
Teacher
...............................
Indah Putri Pratiwi, S.Pd.Si.
NIP.
NIP.
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