Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 2.00 × 10² m. A)0.200° B)0.581° C)11.5° D)19.6° E)78.2°

Question

Quizplus · Accepted Answer

The minimum banking angle θ can be found 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) = (20.0 m/s)² / (200 m * 9.81 m/s²) = 0.204. Solving for θ gives θ ≈ 11.5°.

Determine the Minimum Angle at Which a Roadbed Should Be