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Example problem: The net force of an airplane is 2,000,000. N 30° above the horizontal. What is the net force on this airplane in the vertical direction? What is the excess thrust (thrust – drag) of this airplane? Solution: 2,000,000 N Fy 30.° Vertical net force (Fy): Fy = 2,000,000. ⋅ sin 30.° Fy = 1,000,000. N Excess thrust (Fx): cos 30.° = Fx Vectors sin 30.° = Fy 2,000,000. Fx = 2,000,000. ⋅ cos 30.° Fx = 1,700,000. N PROBLEMS 2,000,000. 1. A small airplane can travel with a speed of 150. mph with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a (a) 20.0 mph headwind (b) 20.0 mph tailwind (c) 20.0 mph crosswind (d) 60.0 mph crosswind 2. A small airplane has a cruising speed of 135 mph relative to the ground when there is no wind. The pilot points the airplane at 35.0° north of east and flies for 2.00 hr. How far north and how far east is the plane from its original location after the 2.00 hr? 3. The takeoff angle of an airplane is about 12°. If the takeoff speed of an airplane is 300. ft/s, approximately how long will it take that plane to reach 14,000 ft if the angle of elevation and speed stays constant? 12° 4. An airplane initially moving eastward at 325 mph travels into an area where the wind is blowing 85 mph 25° north of west. (a) Determine the new speed of the airplane. (b) Determine the new direction of the airplane. 5. An airplane flying with an airspeed of 225 m/s headed –120.° encounters a 100. m/s wind blowing toward the plane at 15.0°. (a) Draw an accurate diagram illustrating this situation. (b) Determine the resulting velocity of the airplane. 58PDF Image | NASA Guide to Engines
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