Question

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?

Answer 1

The banking angle of the curved part of the speedway is determined as 32⁰.

Banking angle of the curved road

The banking angle of the curved part of the speedway is calculated as follows;

V(max) = √(rg tanθ)

where;

• r is radius of the path
• g is acceleration due to gravity

V² = rg tanθ

tanθ = V²/rg

tanθ = (34²)/(190 x 9.8)

tanθ = 0.62

θ = arc tan(0.62)

θ = 31.8

θ ≈ 32⁰

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