Physics · Upper secondary · Interactive learning companion

Pendulum Lab 1: Real-Time Physics Simulation

Investigate small-angle pendulum motion and separate model predictions from observed animation.

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📝 Description

Pendulum Lab 1 is a real-time simulation for studying pendulum motion. Students can observe oscillation, change variables, and explore how length and timing affect the motion. It supports understanding of periodic motion, time period, and classroom physics demonstrations.

📋 Instructions

Use the available controls to change pendulum settings and observe the motion. Compare results and note how each variable affects the swing.

🎓 Learning Guide: Pendulum Lab 1: Real-Time Physics Simulation

Learning focus: Investigate small-angle pendulum motion and separate model predictions from observed animation.

Physics Upper secondary Interactive learning companion

Learning objectives

  • Recognize length, amplitude and gravitational acceleration as different quantities.
  • Use the ideal small-angle formula T = 2π√(L/g) and state its limitations.

Concepts and principles

  • For small oscillations, period mainly depends on length and local gravitational acceleration, not bob mass.
  • Real friction, large amplitudes and non-point bobs can cause departures from the ideal formula.

Examples and worked solutions

A pendulum is lengthened from 0.25 m to 1.00 m. What is its ideal period ratio?
Worked solution: The length is multiplied by four, so T is multiplied by √4 = 2.

Try this investigation

  1. Predict what happens to the period if length is doubled.
  2. If length control exists, change only length and compare two completed cycles using the game time display or your own timing.
  3. Ask whether the animation includes damping before comparing with the ideal result.

Expected observations and explanations

  • Ideal-model ratio T₂/T₁ = √(L₂/L₁) for fixed g and small angles.

Assessment questions and answers

Does a heavier bob necessarily swing more slowly in the ideal model?
Answer: No. Bob mass cancels in the simple-pendulum small-angle model.

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