Laws of Motion
Class 11 · Laws of Motion
Banked Road
Turn on a banked curve — compute vIdeal, vMax, vMin with and without friction.
Key Notes
01
On a road banked at angle θ, the horizontal component of N provides centripetal force.
02
Ideal speed (no friction needed): v_ideal = √(rg tanθ).
03
With friction μ: v_max = √(rg(tanθ+μ)/(1−μ tanθ)); v_min = √(rg(tanθ−μ)/(1+μ tanθ)).
04
Banking reduces wear on tyres by not relying on friction alone.
Formulas
Ideal banking speed
Friction-free speed.
Max speed with friction
Upper limit before sliding outward.
Important Points
At v > v_max, car skids outward. At v < v_min, car skids inward.
Banked Road notes from sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs, Physics Lab). Class 11 physics revision for JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT, and CUET-UG.