Banking of roads (ideal, no friction) (tan θ = v²/(rg))

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tan θ = v²/(rg)

What each symbol means

SymbolWhat it stands for
g9.8 or 10 m/s²
rRadius (m)
vDesign speed (m/s)
θBanking angle

When to use this

Ideal smooth banked turn: horizontal component of normal provides centripetal force; vertical balances weight.