Engineers are designing a curved section of a highway. If the radius of curvature of the curve is 194 m, at what angle should the curve be banked so that a car traveling at 29.0 m/s will stay on the road without the aid of frictional forces?
A) 23.9°
B) 16.7°
C) 21.0°
D) 26.1°

Question

Quizplus · Accepted Answer

The banking angle θ can be calculated using the formula tan(θ) = v²/(r*g), where v is the velocity, r is the radius, and g is the acceleration due to gravity (approximately 9.81 m/s²). Substituting the given values, tan(θ) = (29.0)² / (194 * 9.81), which gives θ ≈ 23.9°.

Engineers Are Designing a Curved Section of a Highway