Circular Motion
Natural Sciences · Intermediate · Lesson 3 of 7

Taking Corners

Friction and banked curves

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Centripetal force is a role played by tension, gravity, friction or a normal force.
  • Flat bend: vmax⁡=μgrv_{\max} = \sqrt{\mu g r}, independent of mass.
  • Frictionless banked curve: tan⁡θ=v2/(rg)\tan\theta = v^2/(rg).

Steps

  1. Not a new force
  2. Maximum cornering speed
  3. Heavier cars
  4. Banked curves
  5. Rain on the bend
  6. Design a bank