Assignment:
PROBLEMS
Note: Answers to problems are given at the end of the book.
1. An airplane weighs 16,000lb. The local gravitational acceleration g is 32 fps'. What is the mass of the airplane?
2. The airplane in Problem I accelerates down the takeoff runway with a net force of 60(X) lb. Find the acceleration of the airplane.
3. An airplane is towing a glider to altitude. The tow rope is 20 ° below the horizontal and has a tension force of 300 lb exerted on it by the airplane. Find the horizontal drag of the glider and the amount of lift that the rope is providing to the glider. Sin 20 ° = 0.342; cos 20 0= 0.940.
4. A jet airplane is climbing at a constant airspeed in no-wind conditions. The plane is directly over a point on the ground that is 4 statute miles from the takeoff point and the altimeter reads 15.840 ft. Find the tangent of the plane's climb angle and the distance that it has flown through the air.
5. Find the distance s and the force F on the seesaw fulcrum shown in the figure. Assume that the system is in equilibrium.
6. The airplane in Problem 2 starts from a brakes-locked position on the runway. The airplane takes off at an airspeed of 200 fps. Find the time for the aircraft to reach takeoff speed.
7. Under no-wind conditions, what takeoff roll is required for the aircraft in Problem 6?
8. Upon reaching a velocity of IOU fps, the pilot of the airplane in Problem 6 decides to abort the takeoff and applies brakes and stops the airplane in 10(X) ft. Find the airplane's deceleration.
9. A helicopter has a rotor diameter of 30 ft and it is being operated in a hover at 286.5 rpm. Find the tip speed V, of the rotor.
10. An airplane weighs 16,0001b and is flying at 50(X) It altitude and at an airspeed of 2(X) fps. Find (a) the potential energy, (h) the kinetic energy, and (c) the total energy. Assuming no extra drag on the airplane, if the pilot dove until the airspeed was 400 fps, what would the altitude he?
11. An aircraft's turbojet engine produces 10,0(X) lb of thrust at 162.5 knots true airspeed. What is the equivalent power that it is producing?
12. An aircraft weighs 24.0(X) lb and has 75% of its weight on the main (braking) wheels. If the coefficient of friction is 0.7, find the braking force Fb on the airplane.