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Powered Ultralight Gliders
Need help in physics please!!?
1) Some gliders are launched from the ground by means of a winch, which rapidly reels in a towing cable attached to the glider. What average power must the winch supply in order to accelerate a 179-kg ultralight glider from rest to 28.1 m/s over a horizontal distance of 47.9 m? Assume that friction and air resistance are negligible, and that the tension in the winch cable is constant.
2) A projectile of mass 0.923 kg is shot straight up with an initial speed of 21.9 m/s. (a) How high would it go if there were no air resistance? (b) If the projectile rises to a maximum height of only 7.84 m, determine the magnitude of the average force due to air resistance.
Can anyone please help me please!! Thank you in advance please!!
1)
P = W/t = (F*d)/t = (m*a*d)/t
then
d=1/2 a t^2, so t=sqrt(2d/a)
and Vf^2 = Vi^2 + 2 a d and Vi=0
so a= Vf^2/(2d)
subbing
P = (m*a*d)/t = (m*(Vf^2/(2d))*d)/(sqrt(2d/(Vf^2/(2d))
simplifying
P = m*Vf^3 / (4d) = 179(28.1^3) / (4*47.9) = 20729 watts
this is roughly 28 HP which seems reasonable
2)
a) KE bottom = GPE top
1/2 m v^2 = m g h
m's cancel
1/2 v^2 = g h
1/2(21.9^2) = 9.81(h)
h = 24.4 m
b) initial KE = final GPE + Work against friction
1/2 m v^2 = m g h + F*h
1/2(0.923)(21.9^2) = 0.923(9.81)(7.84) + F(7.84)
solve for F
I get about 19.2 N
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Germanys AERO 2011 Friedrichshafen: A Show Of Economic Confidence
Comfortably established as the largest general aviation (GA) show in Europe, Germanys AERO 2011 held at Friedrichshafen, really had something for everyone this year, ranging from the latest gliders, ultralight and motorized aircraft up to the latest in business jets.
Special exhibits included innovative electric-powered aircraft and helicopters, while the Berblinger Flight Competition and a Comprehensive conference programme maintained their usual high standard. With some 630 exhibitors from 29 countries and an improving economic outlook, customers are returning.
An interesting sign was the number of North American aircraft, engine or accessory manufacturers exhibiting, together with companies from the Czech Republic and Slovakia, Australia, Brazil and Russia. Attendance was finally counted as some 33400 people, 70% of the trade visitors being licensed pilots.
The show demonstrated an optimistic future for light and ultra-light aircraft, as well for electric motors and diesel engines, while developments in advanced composite materials and fuel cell technologies for smaller and larger aircraft are now gaining ground. It would seem that electric motors are now being increasingly adopted for gliders.
There was even an altruistic element that recalled some of the great names of aviation history. Sikorsky Aircraft Corp. and Lindbergh Electric Aircraft Prize (LEAP) organization representatives announced a joint initiative that continues the historic relationship between the Sikorsky and Lindbergh namesakes.
Sergei Sikorsky ,son of company founder Igo Sikorsky ,was among the representatives of aviations "first families" participating in promotional events to benefit Erik Lindbergh's non-profit group, LEAP. Other participants include members of the Wright, Zeppelin, Piccard, and Dornier families.
Erik Lindbergh, grandson of aviation pioneer, Charles Lindbergh, founded LEAP to promote solutions to social, technical and environmental challenges through prize philanthropy and education. LEAP awards the Lindbergh Electric Aircraft prize to recognize those who are leading advances in electric aircraft technology.
Sikorsky had the opportunity to promote the advanced technology research currently taking place within Sikorsky Innovations. This includes the Firefly all-electric helicopters, introduced in July 2010. The Firefly demonstrator is an S-300C helicopter equipped with a high-efficiency, 190-horsepower electric motor, digital motor controller, battery system and cockpit controls.
In cooperation with Deutschland AGs Piper Germany, Pipers dealer in Germany, the company introduced for the first time at the show, Garmin-equipped Meridian, Seneca and Archer aircraft.
Piper Aircraft Inc. has named European Aircraft Sales APs, Denmark, as the company's new aircraft sales representative for the Baltic and Scandinavian regions.
Italy-based Black shape has launched its new factory and production facilities in Monopoli, Italy, where it is beginning production of its new "Prime" carbon fibre, low-wing, two tandem seats, and ultra light aircraft. Black shape recognized that the carbon fibre UL segment was plagued with lots of good intentions, yet little conviction, with stagnation and prototypes that never made it off the ground.
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CMax Charts provide an added measure of situational awareness during critical phases of flight and while taxiing, both domestically and internationally.
GA Innovation
Innovation in general aviation has often been inhibited by lack of suitable technology, [particularly small jet engines. This is a problem that has now been addressed by French manufacturer Price Induction SA, with the introduced the DGEN 380, a high bypass ratio turbofan engine optimized for the lighter sector of aviation and its pilots.
The DGEN 380 allows the design of aircraft that can cruise up to 240 knots with an optimal consumption rate at altitudes between 10000 and 15000 feet.
It features an "all electric" concept with integrate FADEC, low vibration level and low noise signature. It is particularly applicable to PLJ (Personal Light Jet) development.
The DGEN 380 represents the first member of high bypass ratio engines with a thrust capability varying from 2.5KN to 4Kn. The DGEN 390, with 3KN OF THRUST (flat rating ISA+10),is the natural evolution of theDGEN 380 and will be developed concurrently.
Price Induction SA is based in the Aquitaine region, France, in Anglet (offices) and Tarnos (test bench) .Today, the company counts more than forty employees, more than 30 of which are engineers. The company recently opened two subsidiaries, one in Atlanta, Georgia, USA and one in Sao Jose dos Campos SP Brasil.
About the Author
Anthony Juma is the Editor and Senior Aviation Director at Wings Over Africa Aviation.
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