For a smooth banked road of radius r and banking angle θ, the ideal speed v satisfies
Atan θ = rg/v²
Bsin θ = v²/rg
Ccos θ = v²/rg
Dtan θ = v²/rg
Answer & Solution
Correct answer: D. tan θ = v²/rg
The horizontal component of the normal force gives mv²/r while the vertical one balances mg, so tan θ = v²/rg.
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