Pendulum Simulation App
details
summary
An interactive visual simulator of a simple pendulum.
prompt
Create a visual simulator of a simple pendulum that swings back and forth. The app should be in English and feature a user-friendly interface. ## Layout - A canvas area to visually display the pendulum swinging. - A form section with sliders that allow users to adjust the pendulum's length (0.1 to 5 meters), the initial angle (0 to 90 degrees), and gravitational acceleration (0 to 15 m/s²). - A graph area to display the pendulum's angular displacement over time. ## Interaction - Users should be able to start and pause the pendulum's motion. - Sliders should dynamically adjust the parameters of the pendulum, with updates reflected immediately in the simulation. ## Animation - The pendulum should realistically animate its swinging motion, based on real physics calculations. - The duration and speed of the animation should be determined by pendulum parameters, providing a natural real-time feel. ## Graph - Display the angular displacement as a line graph over time. - Ensure the graph updates in real-time as the simulation progresses. - Style the graph clearly with axis labels and a grid for better readability. ## Best Practices - Use smooth transitions for visual updates to enhance user experience. - Maintain an intuitive user interface to allow for easy manipulation of the pendulum parameters. - Optimize performance to handle physics calculations and animations efficiently.
original prompt
Build a visual simulator of a simple pendulum swinging back and forth. Add a form with sliders for pendulum length (0.1–5 meters), initial angle (0–90 degrees), and gravitational acceleration (0–15 m/s²). Animate the pendulum’s motion and show a graph of its angular displacement over time. Q: How should the pendulum be represented visually? A: yes Q: What should be the duration and speed of the animation? A: yes Q: What kind of graph style do you prefer for angular displacement? A: decide
generation cost summary
model name: claude-3-7-sonnet-latest
response time: 74.58 sec.
result tokens: 6,442
cost: $0.09887700