Question

Die to your knowledge of physics and interest in transportation, you have obtained a summer job at the US company Sikorsky, they are interested in investigating the energetic consumption of your new three-rotor helicopter (Sikorsky S97 Raider). The blade of a rotor can be considered as a thin rod. If each of the three blades of the rotor of the helicopter is 3.75m long and has a mass of 135kg,

A) Determine the energy needed to operate the rotors (2) until the blades reach a speed of 50.0 rev/s.

B) If regular gasoline was used to produce that energy. How many gallons of it would be needed?

C) If the motor of a Sikorsky CH-53K helicopter provides a useful power in acis of 13.5x 10^6 watts. How many revolutions per minute should your blades rotate to keep you in the air for one hour?

D) Explain a way to reduce the energy consumption of these new helicopters.

Debido a su conocimiento de la fisica y el interés por los medios de transporte, has conseguido un trabajo de verano en la compañía de Estados Unidos Sikorsky, ellos están interesados en investigar el consumo energético de su nuevo helicóptero de tres rotores (Sikorsky S-97 Raider). El aspa de un rotor puede considerarse como una varilla delgada. Si cada una de las tres aspas del rotor del helicóptero mide 3.75 m de largo y tiene una masa de 135 kg, a) Determine la energía necesaria para poner a funcionar los rotores (2) hasta que las aspas alcancen una rapidez de 50.0 rev/s. b) Si se usara gasolina regular para producir esa energía ¿Cuántos galones de la misma se necesitarían? c) Si el motor de un helicóptero Sikorsky CH-53K proporciona una potencia útil en el eje de 135x 106 watts, ¿Cuántas revoluciones por minuto deben rotar sus aspas para mantenerlo en el aire por una hora? d), Esplique una forma de reducir el consumo energético de estos nuevos helicópteros.

Answer 1

According to the above given question the required answers follows as analysis: the three blades of the of the helicopter is 3.75m long and has a mass of 135 kg the energy needed to operate the rotors (2) unit the blads reach a speed of 50.6 rev/s I = 632.8125 kgm^2 w = 314.16 rad/sec elementof = 0.5 times I times w^2 = 31228045,18 J therefore the energy of all three blade = 3 times elementof = 3 times 31228045.18 implies 93684135.535 \r\n the regular gasoline were used to produce the energy let the rube x_rv/s energy = 13.5 times 10^6 times 3600 then we get x = 1138 rev/se = 68329.2 rev/min the engine of a salary CH - 35 K helicopter provides useful shaft between of 13.5 times 10^6 walts the angular velocity of a blade per minute to revolve for an hour will be w = 2 pi/T the we get