A Simple Pendulum

A Simple Pendulum

Content Standards

In this lesson, students will understand how a simple pendulum swings back and forth through oscillatory motion, how time period is defined, and how length affects the time period. They recognize the mean and extreme positions, how oscillations repeat, and why pendulums help measure time.

Performance Standards

Students will be able to:

  • Identify the components of a simple pendulum: bob, string, support.
  • Explain oscillation and time period.
  • Demonstrate how to measure time for 10 oscillations.
  • Compare the effect of length on time period.
  • Conclude that bob’s mass does not influence the time period.

Alignment Standards

Reference: NCERT Book Alignment 

The lesson is aligned with the NCERT Grade 7 Science Textbook, Chapter 8: Measurement of

Time and Motion, Section 8.1 – Measurement of Time.

Learning Objectives

By the end of the lesson, students will be able to:

  • Describe what oscillation means.
  • Demonstrate how a pendulum moves between extreme and mean positions.
  • Calculate the time period using T = total time ÷ number of oscillations.
  • Interpret how length affects the time period.
  • Explain why the time period remains almost constant for the same pendulum.

Prerequisites (Prior Knowledge)

  • Basic understanding of motion (to-and-fro, periodic).
  • Familiarity with time measurement using seconds and a stopwatch.
  • Idea of length as a measurable quantity.

Introduction

In this session, students will explore how a pendulum moves periodically, how to measure its time period using repeated swings, and how the length influences its motion. They will observe why pendulums are used in clocks and how rhythmic motion helps measure consistent intervals of time.

Timeline (40 Minutes)

TitleApproximate DurationProcedureReference Material
Engage5

Show a short clip of a swing or pendulum in motion; ask: “How does it keep moving back and forth without anyone pushing it?”

Slides

Explore12

Provide pendulum setup materials. Students identify mean and extreme positions and observe oscillations.

Slides

Explain10

Teach the flow: displacement → oscillation → time for 10 oscillations → time period calculation → effect of length vs mass.

Slides + Virtual Lab

Evaluate10

Students will attempt the Self Evaluation task on LMS

Virtual Lab

Extend5

Think-pair-share: If you double the length of the pendulum, what do you think will happen to the time period? Why?

Slides

A Simple Pendulum

Introduction

In this session, you will explore how a simple pendulum swings back and forth in a regular pattern, why this motion is called oscillatory, and how the time period helps measure time. You will link these ideas to real-world applications such as clocks and scientific timing experiments.

Theory

Why learn this?
Have you seen a swing move steadily even after you stop pushing it? 

Clocks use repeating motion—why do they keep ticking regularly?

Real-life link:
A pendulum’s steady, repeating motion makes it useful for measuring equal intervals of time. Understanding this helps you explore how motion, energy, and timing are connected.

This leads to understanding how oscillations occur and why the time period remains nearly constant.

What is a simple pendulum?

A simple pendulum consists of:

  • a metallic ball (bob)
  • suspended by a string
  • from a fixed support

When displaced slightly and released, it swings back and forth.

Key components:

  • Mean position: middle resting point
  • Extreme positions: A and B on either side
  • Oscillation: complete to-and-fro motion
  • Time period: time taken for one oscillation

Quick example:
A pendulum moving from O → A → O → B → O completes one oscillation.

How does a pendulum move?

  1. Pull the bob to one side.
  2. Release gently without pushing.
  3. It swings to the other side.
  4. It passes through the mean position each time.
  5. Motion repeats at regular intervals.

Time period measurement

 Warm-up example:
If the pendulum takes 22 seconds to complete 10 oscillations:

Time period = 22 ÷ 10 = 2.2 seconds

Simple rules

  • Larger length → longer time period
  • Smaller length → shorter time period
  • Bob mass does not affect time period
  • For the same length and location, time period stays constant
  • Pendulums help measure time because they repeat uniformly

Solved example
Q: Why does increasing the length increase the time period?
A: A longer pendulum travels a larger arc, so it takes more time to complete one oscillation.

Why is it useful?

Understanding pendulums helps in:

  • designing accurate clocks
  • conducting timing experiments
  • modelling periodic motion in physics
  • exploring real-world oscillations (swings, metronomes)
  • understanding rhythm and periodicity in nature

Vocabulary

This is the list of vocabulary terms used throughout the lesson.

  • Oscillation: one complete to-and-fro motion
  • Time period: time taken for one oscillation
  • Frequency: number of oscillations per second
  • Bob: the metallic ball in a pendulum
  • Mean position: middle equilibrium point
  • Amplitude: maximum displacement from the mean position

A Simple Pendulum

Category

Introduction

In this VR lab, you will explore the working of a simple pendulum, an everyday example of periodic motion. You will observe how the pendulum swings, measure the time period for one complete oscillation, and relate it to the angle of displacement.
This lab demonstrates how time, motion, and gravity interact in oscillatory systems.

Key Features

  • Length Slider: Adjust the pendulum length and observe how the motion changes.
  • Play/Pause Button: Start and stop the pendulum’s oscillation at any time.
  • Reset Button: Bring the pendulum back to its resting position.
  • Oscillation Indicator: Track one complete oscillation visually.
  • Smooth Animation: Clear motion showing mean and extreme positions for better understanding.
  • Two-Question Quiz: Students answer short questions based on what they observed.

Step-by-Step Procedure for VR Experience

Open the Virtual Lab and navigate to the Introduction section to learn the concept of a simple pendulum.

  • A pendulum is a weight suspended from a fixed point that swings back and forth when displaced from its equilibrium position.

Click Start to begin the simulation.

  • You will see a pendulum consisting of a metal bob hanging from a fixed support.

Use the slider at the top-right corner to set the angle of the pendulum.

  • You can select smaller or larger angles to observe how the swing changes.
  • Larger angles lead to slightly longer time periods.

Once the angle is set, click the Drop button to release the pendulum.

  • Observe how the pendulum moves back and forth in regular, periodic oscillations.
  • The timer will automatically start when the pendulum is released.

Watch the motion until the pendulum completes one full oscillation (back and forth).

  • The timer will stop automatically and display the time period of the oscillation (e.g. 3.648 seconds).

Repeat the process with different angles using the slider to observe how the time period varies with the displacement angle.

  • Record your observations for each trial.
  • Compare the readings to understand that for small angles, the time period remains almost constant.

Quick Quiz
At the end of the lab, take the quiz to test your understanding of the concepts. Answer the questions and receive immediate feedback on your responses to reinforce learning.

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