The banking angle of the curve is determined as 6 degrees. (Option D).
How to calculate the banking angle?
The banking angle of the curve is calculated by applying the following formula as shown below.
tan θ = v² / rg
where;
- v is the maximum speed
- r is the radius of curvature
- g is acceleration due to gravity
- θ is the banking angle
The radius of curvature of the curve is calculated as;
r = D / 2
r = (1,800 m ) / 2
r = 900 m
The banking angle of the curve is calculated as follows;
tan θ = v² / rg
tan θ = (30² ) / ( 900 x 9.8 )
tan θ = 0.102
θ = arc tan (0.102)
θ = 5.8⁰
θ ≈ 6⁰