Matter & Interactions 2nd ed. Practice Problems
Aaron Titus | High Point University
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14i0001     Forces on a banked airplane that travels in uniform circular motion.     14i0001
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Question

 

A propeller-driven airplane of mass 680 kg is turning in a horizontal circle with a constant speed of 280 km/h. Its bank angle remains during the turn. A head-on view of the airplane and a top view are shown below.


Figure: An airplane speeds up along a circular path.

The forces on the airplane are due to Earth (gravitational force) and air. The force by the air on the airplane can be written as three components: lift (perpendicular to the wings), thrust (in the direction of the velocity), and drag (opposite to the velocity). Neglect wind.

  1. What is the magnitude of the force of lift on the airplane?
  2. Which force on the airplane is larger in magnitude, the thrust or the drag?
  3. What is the net force on the airplane?
  4. If it flies at a constant speed, what will be the radius of its path?