A circular road of radius 40 m is banked for a frictionless design speed of 20 m/s. Take g = 10 m/s². If tanθ = N/10, find N.

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G1 Physics · Accepted Answer

For frictionless banking, tanθ = v²/(rg). Substituting v = 20 m/s, r = 40 m and g = 10 m/s² gives tanθ = 20²/(40×10) = 400/400 = 1. Hence N/10 = 1 and N = 10.