A frictionless banked circular road has radius 50 m and banking angle 45°. Take g = 10 m/s². If the design speed is v = 10√N m/s, find N.

Question

G1 Physics · Accepted Answer

For a frictionless banked road, tanθ = v²/(rg). Therefore v² = rg tanθ = 50×10×tan45° = 500. Hence v = √500 = 10√5 m/s. Therefore N = 5.