A 600-kg car is going around a banked curve with a radius of 110 m at a speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction?
A) 29.1°
B) 13.5°
C) 33.8°
D) 56.2°
E) 60.9°

Question

Quizplus · Accepted Answer

The banking angle θ can be found using the formula tan(θ) = v²/(r*g), where v is the speed, r is the radius, and g is the acceleration due to gravity (9.8 m/s²). Substituting the given values, tan(θ) = (24.5)²/(110*9.8), which gives θ ≈ 29.1°.

A 600-Kg Car Is Going Around a Banked Curve with a Radius