Physics

Problem

A civil engineer is designing a curved exit ramp for a highway. The radius of curvature is

r = 40\sqrt{3}\,\text{m}

. The designed optimum speed for the ramp (where no friction is required) is

v = 20\,\text{m/s}

. Calculate the banking angle

\theta

required for this condition. Take

g = 10\,\text{m/s}^{2}