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Applications of
Translational and
Rotational Motion
Objectives:
At the end of the lesson, the learners should be able to:
1. identify the linear and angular quantities used to
describe translational and rotational motion;
2. compare and contrast translational and rotational
motion;
3. demonstrate how translational and rotational
motion are applied in human movement;
Review:
• What were the
key concepts
discussed from
the previous
activity?
Activating Prior
Knowledge
TRUE/FALSE Floor
Activity: Stand on
the correct side
TRUE OR FALSE?
Distance is how much
ground an object has
covered, regardless
of direction.
TRUE
TRUE OR FALSE?
Displacement measures
how far and in what
direction an object is
from its start point.
TRUE
TRUE OR FALSE?
Speed is a vector because
it tells you how fast and
in which direction
something moves.
FALSE
TRUE OR FALSE?
The SI unit for both
distance and
displacement is the
meter (m).
TRUE
TRUE OR FALSE?
Average acceleration in
one-dimensional motion
equals total displacement
divided by the elapsed
time.
FALSE
TRUE OR FALSE?
If the net force on an
object is zero, it will
either stay at rest or
move at constant velocity
TRUE
TRUE OR FALSE?
Displacement is the
rate at which an
object’s velocity
changes over time.
FALSE
TRUE OR FALSE?
Newton’s second law can
be written as F = ma,
which relates net force,
mass, and acceleration.
TRUE
TRUE OR FALSE?
In uniform circular
motion, although speed is
constant, the velocity is
changing because
direction keeps changing.
TRUE
TRUE OR FALSE?
Centripetal acceleration
in circular motion points
away from the center of
the circle.
FALSE
Displacement
the shortest distance
between the initial
and final position of
an object. It is a vector
quantity, meaning it
has both magnitude
and direction. The SI
unit of displacement is
the meter (m).
Velocity
how fast something
moves in a specific
direction, making it a
vector quantity that
includes both
magnitude and
direction. It is
calculated as the
amount of
displacement over time
Acceleration
the rate at which an
object changes its
velocity. It is a vector
quantity, meaning it has
both magnitude and
direction. Specifically,
acceleration is
calculated as the change
in the velocity vector
over a time interval.
Establishing
Purpose
Ask: Why study
motion? Where is it
applied?
Students relate
motion to dream jobs
or real-life
applications
Introducing New
Concepts
• Translational Motion -
Translational motion is
defined as the movement
of all points of a moving
body along the same line
or direction. In this type
of motion, there is no
change in the object's
orientation relative to a
fixed point.
LINEAR DISPLACEMENT
• Linear displacement refers to the movement of an object
along a straight line, quantified as the shortest distance
from its initial position to its final position.
LINEAR
VELOCITY
• Linear velocity is defined as the rate of
change of displacement with respect
to time when an object moves along a
straight path. It is a vector quantity,
meaning it has both magnitude and
direction..
LINEAR
ACCELERATION
• Linear acceleration is the rate
of change of velocity of an
object in a straight line,
measured in meters per
second squared (m/s²)
Activity: Motion Commotion
(Translational)
• Walking zone setup
(Start/Finish lines)
• Learners walk with
different patterns and
speeds
• Determine which
physical quantity is
being shown
Questions:
1. What is the
difference between the
previously learned
concepts of displacement,
velocity, and acceleration
and the new concepts of
linear displacement, linear
velocity, and linear
acceleration?
Questions:
2. Did all the motions
follow a straight line?
What does this imply?
Questions:
3. Since the motions
involved straight lines
and curved lines, the
path is not uniform for all
the examples. What is
common among all the
examples?
Processing Questions: Translational Motion
• Compare displacements, directions, durations
• Relate velocity to displacement and time
• Characteristics: equal displacement, direction,
velocity, acceleration
• Definition of Translational Motion
• Angular displacement is defined as the angle (in
units of radians, degrees, or turns) through which a
body rotates around a center or axis of rotation. It is
represented by the symbol θ, ϑ, or φ, and is
considered a vector quantity, meaning it has both
magnitude and direction.
ANGULAR
VELOCITY
• The angular velocity is the rate
at which the angular
displacement changes. It tells
us how fast the object is
rotating about its axis or
revolving around a fixed point.
ANGULAR
ACCELERATION
• Angular acceleration is
defined as the time rate of
change of angular velocity.
It measures how quickly an
object’s rotation speeds up
or slows down and is
typically expressed in
radians per second
squared.
Activity: Motion Commotion (Rotational)
• Spinning zone setup with Reference line
• Learners perform spins at various speeds and
directions
• Relate motion to angular displacement,
velocity, acceleration
Questions:
1. What is the difference
between the previously
learned concepts of linear
displacement, linear velocity,
and linear acceleration and
the new concepts of angular
displacement, angular
velocity, and angular
acceleration?
Questions:
2. What is common
among all the example
motions portrayed?
Questions:
3. Since the motions
involved straight lines
and curved lines, the
path is not uniform for all
the examples. What is
common among all the
examples?
Processing Questions: Rotational Motion
• Compare points' linear displacement,
direction, time
• Define characteristics of Rotational Motion
• Key difference: variation in displacement and
direction
Translational Motion Rotational Motion
Points have equal linear
displacement
Points have varying linear
displacements
Points travel in the same
direction
Points travel in varying
directions
Points travel with the same
linear velocity
Points travel with different
linear velocities
Points travel with the same
linear acceleration
Points travel with varying
linear accelerations
Linear displacement Angular displacement
Linear velocity Angular velocity
Linear acceleration Angular acceleration
Venn Diagram Activity
• Learners draw Venn diagram of translational
and rotational motion
• Use previous examples and processing
questions
Application Activity: Human Motion Video
Analysis
• Watch video before next class
• Create table: Translational vs. Rotational
Human Motions
bit.ly/TransRotMove
• Describe each action using all six physical
quantities
Generalization
• Class discussion: How do you differentiate
translational and rotational motion?
Formative Assessment Sample Items
• Multiple choice: Concepts of translational and
rotational motion
• Focus on definitions, examples, and physical
quantities