The curved section of a speedway is a circular arc having a radius of 190 m.This curve is properly banked for racecars moving at 34 m/s.At what angle with the horizontal is the curved part of the speedway banked?
A)32°
B)34°
C)30°
D)28°
E)26°

Question

Quizplus · Accepted Answer

The banking angle θ can be calculated using the formula tan(θ) = v²/(rg), where v is the speed, r is the radius, and g is the acceleration due to gravity (approximately 9.8 m/s²). Substituting the given values, tan(θ) = (34)²/(190*9.8), which gives θ ≈ 32°.

The Curved Section of a Speedway Is a Circular Arc