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

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

\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}

(b)

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

(c)

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

(d)

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