Banking Of Roads — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Banking of Roads Applies to vehicles turning on a curved, banked surface where the goal is to determine the ideal speed requiring zero lateral friction, or the angle required for a specific speed. Resolve Normal force N into vertical (N cos theta) and horizontal (N sin theta) components. Equate vertical component to weight: N cos theta = mg. Equate horizontal component to centripetal force: N sin theta = mv 2/r. Divide the horizontal equation by the vertical equation: tan theta = v 2/rg. Assumes the vehicle is a point mass or center of mass analysis. Strictly applies when friction is zero or ignored (optimum banking). Banking angle must be less than 90 degrees. Confusing the banking angle with the angle of friction. Thinking this formula accounts for maximum speed with friction (it calculates the ideal speed where friction is unnecessary). Using degrees instead of radians in computational solvers.