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W 1
Learning Area SCIENCE^ โ^ General Physics^1 Grade Level 12
Quarter Second Date November 7 - 11 , 2022
I. LESSON TITLE ROTATIONAL EQUILIBRIUM AND ROTATIONAL DYNAMICS
II. MOST ESSENTIAL
LEARNING
COMPETENCIES
(MELCs)
- Calculate the moment of inertia about a given axis of single-object and multiple-object systems;
- Calculate magnitude and direction of torque using the definition of torque as a cross product;
- Describe rotational quantities using vectors:
- Determine whether a system is in static equilibrium or not*;
- Apply the rotational kinematic relations for systems with constant angular accelerations;
- Determine angular momentum of different systems**;
- Apply the torque-angular momentum relation**;
- Solve static equilibrium problems in contexts but not limited to see-saws, cable-hinge-strut system, leaning ladders, and weighing a heavy suitcase using a small bathroom scale*;
III. CONTENT/CORE
CONTENT
Rotational Quantities. Rotational Kinematics, Moment of Inertia and Angular Momentum, Torque and Static Equilibrium
IV. LEARNING PHASES
Suggested Timeframe Learning Activities
A. Introduction
Panimula
Day 1 Good day! Welcome to General Physics 1. As an introduction to our main topic, let us look at the table of equations below then answer the following question.
- What do you notice from the table of equations above? Do the quantities from left column have the same pattern with the quantities from the right column?
- Can you provide the counterpart of quantities from the linear motion with the quantities from rotational motion? At the end of the lesson, you will be able to:
- Calculate the moment of inertia about a given axis of single-object and multiple-object systems;
- Calculate magnitude and direction of torque using the definition of torque as a cross product;
IV. LEARNING PHASES
Suggested Timeframe Learning Activities
- Describe rotational quantities using vectors:
- Determine whether a system is in static equilibrium or not*;
- Apply the rotational kinematic relations for systems with constant angular accelerations;
- Determine angular momentum of different systems**;
- Apply the torque-angular momentum relation**;
- Solve static equilibrium problems in contexts but not limited to see-saws, cable-hinge-strut system, leaning ladders, and weighing a heavy suitcase using a small bathroom scale*; After introducing you to the basic concepts on rotational kinematics, you may now proceed to the next part of the lesson.
B. Development
Pagpapaunlad
Day 1 - 2 Study the following information. Rotational Quantities
- Angular position/angular displacement, ๐ o The angular coordinate , ๐ describes the rotational position of the body. o When a body rotates, a line can be drawn from the axis of rotation to any point within the body. With the body as the reference frame, this line is fixed. o Hence, the line rotates with the body. o The angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis. It is the ratio of the arc length to the radius of curvature: โ๐ = โ๐ ๐ o The relation between radians and degrees is: ๐๐๐๐๐๐๐๐ =
o The relation between degrees and revolutions is: ๐๐๐๐ฃ๐๐๐ข๐ก๐๐๐๐ = 1 rev 360ยฐ
- Angular velocity, ฯ as the rate of change of an angle. In symbols, this is โฯ = โ โ๐๐ก ; ฯ = (^) โlim๐กโ 0 (โ โ๐๐ก ) = ๐๐ ๐๐ก
- Angular acceleration , ฮฑ is the change in angular velocity per unit of time: โฮฑ = โ โ๐๐ก ; ฮฑ = lim โ๐กโ 0 (โ โ๐๐ก ) = ๐๐ ๐๐ก ; ฮฑ = ๐ (^2) ๐ ๐๐ก^2
IV. LEARNING PHASES
Suggested Timeframe Learning Activities
C. Engagement
Pakikipagpalihan Day 3 Did you understand what you have read about rotational kinematics, moment of inertia, and torque? Then, refer to your Learning Activity Sheet Second Quarter
- Week 1. Study the sample problems given for further understanding of the calculations required. Good luck!
D. Assimilation
Paglalapat
Day 3 The following activity will enable learners to further understand the concept of moment of inertia. Directions: Watch the following video from Youtube for an actual demonstration of the moment of inertia: https://www.youtube.com/watch?v=m9weJfoW5J V. ASSESSMENT Day 4 You may answer the following to test your knowledge regarding rotational kinematics and moment of inertia. Post Test: Directions: Select/encircle the letter of the best answer. Refer to the answer key at the end of this test.
- Moment of inertia depends on a. Distribution of particles b. Mass c. Position of axis of rotation d. All of these
- Which is the wrong relation from the following? a. t = I ฮฑ b. F = ma c. L = I w d. I = t ฮฑ
- A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected? a. Moment of inertia b. Angular momentum c. Angular velocity d. Rotational kinetic energy
- If I, ฮฑ and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity ๐, then a. t = Iฮฑ b. t = I๐ c. I = t๐ d. ฮฑ = I๐
- Angular momentum is a. A scalar b. A polar vector c. A scalar as well as vector d. An axial vector Answer Key:
- d; 2. d; 3. b; 4. a; 5. d VI. REFLECTION Day 4 You are now in the last part of the lesson. Complete the phrases below. Write your response on the space provided. I understand that โฆ I realize that โฆ Prepared by: KAZELLE ANNE A. SALLEGUE Checked by: LILIANA C. ANOG
REFERENCES
General Physics 1 Learnerโs Material pp. 135- 158 Lumen Learning: https://courses.lumenlearning.com/ MCQ Questions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion with Answers. Retrieved from Learn Insta: https://www.learninsta.com/mcq-questions-for-class- 11 - physics- chapter-7/ Moment of Inertia. Retrieved from HyperPhysics: http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html Rotational kinematic vectors. Retrieved from: Physics LibreTexts: https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Introductory_Physics_- Building_Models_to_Describe_Our_World(Martin_Neary_Rinaldo_and_Woodman)/11%3A_Rotat ional_dynamics/11.01%3A_Rotational_kinematic_vectors Rotational Motion Questions: Paper โ 01. Retrieved from Geli Question Papers: http://www.questionpapers.net.in/MHT-CET/question_papers/physics/rotational_motion_paper- 1.html ( Disclaimer: All of the photos used in this LeaP belong to the rightful owner.) Personal Assessment on Learnerโs Level of Performance Using the symbols below, choose one which best describes your experience in working on each given task. Draw it in the column for Level of Performance (LP). Be guided by the descriptions below.
- I was able to do/perform the task without any difficulty. The task helped me in understanding the target content/lesson.
- I was able to do/perform the task. It was quite challenging but it still helped me in understanding the target content/lesson.
- I was not able to do/perform the task. It was extremely difficult. I need additional enrichment activities to be able to do/perform this task. Learning Task LP Activity No. 1 Activity No. 2
