Physics — Circular Motion · Interactive uniform circular motion simulation

Uniform Circular Motion Simulation

Observe a mass moving in a circle while comparing tangential velocity with inward centripetal acceleration.

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📝 Description

Uniform Circular Motion Simulation helps students visualize motion in a circle at constant speed. Learners observe radius, velocity, acceleration, angular motion, and changing vectors. It supports physics lessons, vector understanding, and classroom demonstrations.

📋 Instructions

Use the show/hide controls to view individual parameters. Change values and observe how velocity, acceleration, and circular motion are represented.

🎓 Learning Guide: Uniform Circular Motion Simulation

Learning focus: Observe a mass moving in a circle while comparing tangential velocity with inward centripetal acceleration.

Physics — Circular Motion Interactive uniform circular motion simulation

Learning objectives

  • Explain why a constant-speed circular motion still has acceleration.
  • Distinguish velocity direction from centripetal acceleration direction.
  • Relate radius, angular speed and linear speed using the ideal uniform-circular-motion model.

Concepts and principles

  • Instantaneous velocity is tangent to the circular path.
  • Centripetal acceleration points toward the circle’s centre, not along the direction of motion.
  • For ideal uniform circular motion v=ωr and a_c=v²/r=ω²r, provided units are consistent.

Examples and worked solutions

For speed 4 m/s and radius 2 m, find centripetal acceleration.
Worked solution: a_c=v²/r = 16/2 = 8 m/s² inward.

Try this investigation

  1. Use the direction controls and stop function to examine motion at different positions.
  2. Compare the displayed velocity and radial/vector indicators while the mass travels around the circle.
  3. Make a prediction about how centripetal acceleration changes when speed doubles at fixed radius; then inspect supported controls.

Expected observations and explanations

  • The direction of velocity changes continuously even when its magnitude is constant.
  • At fixed radius, doubling speed increases centripetal acceleration by a factor of four.

Assessment questions and answers

If an object keeps the same speed but changes direction, is acceleration zero?
Answer: No. Acceleration is the rate of change of velocity, and velocity includes direction.
What is the relation between v, ω and r?
Answer: For uniform circular motion, v=ωr with ω measured in radians per second.

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