1) If a 22450lb (total gross weight) airplane develops 8160lbf thrust from each of its two engines and has a wing area of 312ft2 and wing-span of 53.5ft. And a empty weight of 11770lbf. Determine the thrust to weight ratio and the wing loading of this aircraft?
2) Consider an ordinary, helium-filled party balloon with a volume of 2.2ft3 . The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this
fact, Archimedes Principle can be derived, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming the balloon is at sea level, standard atmospheric conditions, calculate the maximum
weight that can be lifted by the balloon.
Note: the molecular weight of air is 28.8 and that helium is 4. What if the helium is replaced by hydrogen, molecular weight of 1?© BrainMass Inc. brainmass.com October 24, 2018, 6:52 pm ad1c9bdddf
If a 22450lb (total gross weight) airplane develops 8160lbf thrust from each
of its two engines and has a wing area of 312ft2 and wing-span of 53.5ft. And a
empty weight of 11770lbf. Determine the thrust to weight ratio and the wing loading
of this aircraft?
The thrust to weight ratio can be computed by dividing the total thrust provided by both engines to the gross weight of the airplane:
T = 2*8160 = 16320 lbf (total thrust)
G = 22450 lb (total gross weight)
--> T/G = 16320/22450 = 0.727 (it is a dimensionless feature)
The wing loading will be computed in the same way, by dividing the total gross weight of the airplane to the wing area:
S = 312 ft2 (total wing area)
--> G/S = 22450/312 = 71.96 lb/ft2
Consider an ordinary, helium-filled party balloon with a ...
The weight and thrust to weight ratios are calculated in the solution.
Four problems on mechanics.
Please see attached file for full problem description.
A 58-kg skier is going down a slope oriented 35° above the horizontal. The area of each ski in contact with the snow is 0.13 m2? Determine the pressure that each ski exerts on the snow.
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downward at an angle of 110 below the horizontal, from one end to the other. By how much does the pressure at the bottom of the deep end exceed the pressure at the bottom of the shallow end?
A dentist's chair with a patient in it weighs 2100 N. The out plunger of a hydraulic system begins to lift the chair when the dentist's foot applies a force of 55 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger to the radius of the piston?
A duck is floating on a lake with 25% of its volume beneath the water, what is the average density of the duck?