An indoor track is to be designed such that each end is a banked semi-circle with a radius of 24 m. What should the banking angle be for a person running at speed v = 6.0 m/s?
A)8.7°
B)11°
C)14°
D)22°
E)45°

Question

Quizplus · Accepted Answer

The banking angle θ can be calculated 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 (approximately 9.81 m/s²). Plugging in the values, tan(θ) = (6.0 m/s)² / (24 m * 9.81 m/s²) = 0.153. Solving for θ gives θ ≈ 8.7°.

An Indoor Track Is to Be Designed Such That Each