An airplane is traveling at 250 m/s in level flight.If the airplane is to make a change in direction,it must travel is a horizontal curved path.To fly in the curved path,the pilot banks the airplane at an angle such that the lift has a horizontal component that provides the horizontal centripetal acceleration to move in a horizontal circular path.If the airplane is banked at an angle of 15.0 degrees,then the radius of curvature of the curved path of the airplane is
A) 20.1 km.
B) 23.8 km.
C) 25.0 km.
D) 27.5 km.
E) 30.1 km.

Question

Quizplus · Accepted Answer

The radius of curvature can be calculated using the formula $ r = \frac{v^2}{g \cdot \tan(\theta)} $, where $ v = 250 \, \text{m/s} $, $ g = 9.81 \, \text{m/s}^2 $, and $ \theta = 15.0^\circ $. Plugging in these values gives approximately 23.8 km.

An Airplane Is Traveling at 250 M/s in Level Flight