Learn the science
One variable at a time
The Circle Studio computes inward acceleration a_c=v²/r and F_required=mv²/r. Hold m and r fixed while varying v: a doubled speed quadruples required inward force. Then hold mass and speed fixed while changing radius: a doubled radius halves the required force. Record exact parameters, calculations and model provenance for each trial.
Available flat-road friction is a constraint
The circle model's optional flat-surface check uses the ideal inequality mv²/r≤μ_s mg; at constant mass the m factors cancel. Under that specific model, v_limit=√(μ_sgr) indicates a mathematical friction boundary, not a safe driving speed. It assumes steady speed, dry-style constant coefficient, level road, proper contact and that lateral static friction alone supplies all inward net force.
Compare with the contact laboratory
The Friction Lab models a pushed block beginning at rest, not a car turning in a circle. It teaches that friction adjusts below a static threshold and uses a simplified kinetic approximation after slip begins. The Circle Studio treats lateral static friction capacity as a maximum radial constraint. These are related friction principles but different physical scenarios; do not transfer the block's kinetic formula into the turning model indiscriminately.
Synthetic data is not measured evidence
Our SVG charts and CSV downloads come from equations, without sensors or risky live equipment. Record a prediction, a matched trial, units, a numerical conclusion and a limitation. Use the teacher's supplied data table if controls are unavailable. No spinning weighted objects, swinging masses, cycling in traffic or vehicle testing is requested.