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Lesson 4 of 5

Measurement of Length and Motion · Lesson 4 of 5

Patterns and Types of Motion

“Classify motion by the path an object follows and explore linear, circular, oscillatory and periodic motion through everyday examples.”

Learning Objectives

• Identify linear, circular and oscillatory motion from the path of an object. • Explain the defining feature of each type of motion. • Use observations from simple investigations to classify motion. • Distinguish a circular path from a to-and-fro path. • Explain how repeated circular and oscillatory motions can be periodic.

The Path Tells Us About Motion

Once we know that an object is moving, we can ask a second question: what kind of path does it follow? A falling object may move approximately along a straight line, a point on a merry-go-round traces a circle, and a swing moves repeatedly to and fro. These different paths help us classify motion.

LinearStraight-line pathCircularCircular pathOscillatoryTo and fro
Three common patterns of motion— Compare the shape of the path: straight, circular, or repeated to-and-fro about a middle position.

Linear Motion

When an object moves along a straight-line path, its motion is called linear motion. A dropped eraser, a fruit falling vertically, students marching along a straight path, or a box pushed straight across a floor can all illustrate linear motion.

Definition
Linear motion

Motion of an object along a straight-line path.

Example — A falling eraser

Problem
An eraser is released from rest and falls straight downward. What type of motion is this?

  1. 1.Observe the path followed by the eraser.
  2. 2.Its path is approximately a straight vertical line.
  3. 3.Motion along a straight line is linear motion.
  4. 4.Therefore, the falling eraser shows linear motion.

Circular Motion

A different pattern appears when an object moves around a fixed centre and follows a circular path. You can observe this by tying an eraser or potato to a thread and whirling it carefully. The moving object repeatedly traces a circle around your hand.

Definition
Circular motion

Motion of an object along a circular path.

Example — Merry-go-round

Problem
A child sits on a moving merry-go-round. What type of path does the child follow around the centre?

  1. 1.The child moves around the central axis of the ride.
  2. 2.The path loops around the centre and is circular.
  3. 3.Therefore, the motion is circular motion.

Oscillatory Motion

A swing does not keep travelling around a circle or continue endlessly in one straight direction. Instead, it moves to one side, returns through a central region, moves to the other side and repeats. Motion of this kind is called oscillatory motion.

Definition
Oscillatory motion

To-and-fro motion of an object about a fixed position.

You can investigate oscillation with a hanging eraser. Pull it slightly to one side and release it; the eraser moves repeatedly to and fro. A thin metal strip fixed at one end also oscillates if its free end is bent slightly and released.

Example — Swing and metal strip

Problem
A playground swing moves back and forth, and the free end of a bent metal strip moves up and down after release. What do these motions have in common?

  1. 1.Both move repeatedly on opposite sides of a fixed or central position.
  2. 2.Neither simply continues in one direction.
  3. 3.Both are examples of oscillatory motion.

When Motion Repeats

Some motions repeat the same path after equal intervals of time. Such repeated motion is called periodic motion. A steadily rotating object can repeat its circular path, and an oscillating object can repeat its to-and-fro path. For this reason, circular and oscillatory motions can be periodic when the repetition occurs regularly.

Definition
Periodic motion

Motion that repeats its path after a fixed interval of time.

Common mistake

Circular motion and oscillatory motion are not the same. Circular motion follows a circular path around a centre, while oscillatory motion moves to and fro about a fixed position.

Classifying Motion in a Playground

A children's park contains several motion patterns at once. A child sliding down a straight slide can show linear motion, a merry-go-round shows circular motion, and a swing or seesaw shows oscillatory motion. The important skill is to justify the classification by describing the path.

Object or situationType of motionReason
Child moving down a straight slideLinearPath is approximately straight
Merry-go-roundCircularMoves around a centre
SwingOscillatoryMoves to and fro about a fixed position
Seesaw endOscillatoryMoves repeatedly up and down

Quiz

Quick check

What defines linear motion?

Quick check

Which is the best example of circular motion?

Quick check

Which statement best describes oscillatory motion?

Quick check

What makes a motion periodic?

Quick check

A thin metal strip fixed at one end moves repeatedly up and down after being released. What type of motion is it showing?

Practice Problems

Practice Problems
  1. Give two everyday examples of linear motion and explain why each is linear.
  2. Give two everyday examples of circular motion and explain the path in each case.
  3. Give two everyday examples of oscillatory motion.
  4. Describe an investigation using a hanging eraser that demonstrates oscillatory motion.
  5. Explain how the motion of a merry-go-round differs from the motion of a swing.
  6. A ball moves through a track containing straight and looped sections. How would you classify its motion in each section?
  7. Find three moving objects in a playground and classify each as linear, circular or oscillatory with a reason.

Key Takeaways

Key Takeaways

• Linear motion follows a straight-line path. • Circular motion follows a circular path around a centre. • Oscillatory motion moves to and fro about a fixed position. • A motion is periodic when it repeats after a fixed interval of time. • Classify motion by observing and explaining the path followed by the object.