Physics

Problem

Which of the following expressions gives the relationship among the banking angle

\theta

, the speed

v

, and the curve radius

r

for a vehicle that negotiates a frictionless banked turn without relying on friction? (Assume

g

is the magnitude of the acceleration due to gravity.) a)

\displaystyle \sin\theta = \frac{v^{2}}{rg}

\displaystyle \tan\theta = \frac{rg}{v^{2}}

\displaystyle \tan\theta = \frac{v^{2}}{rg}

\displaystyle \cos\theta = \frac{v^{2}}{rg}