Resolve the following exercise: Because of their knowledge of physics and intere

Question

Resolve the following exercise: Because of their knowledge of physics and interest in transportation, you've gotten a summer job at the US company Sikorsky, they are interested in researching the energy consumption of their new three-rotor helicopter (Sikorsky S-97 Raider). The blade of a rotor can be considered as a thin rod. If each of the three helicopter rotor blades is 3.75 m long and has a mass of 135 kg.

A) Determine the energy required to start the rotors (2) until the blades reach a speed of 50.0 rev / S.

B) If regular gasoline is used to produce that energy, how many gallons of it would be needed? If the engine of a Sikorsky CH-53K helicopter delivers useful power at 13.5 x 10^6 watts, how many revolutions per minute should you rotate your blades to keep it in the air for one hour? Explain a way to reduce the energy consumption of these helicopters.

Explanation / Answer

ther rotates along their end

moment of inertia of one blade=I=(1/3)ML^2=632.8125 kgm^2

w=50rev/sec=314.16 rad/sec

E=energy=0.5*I*w^2=31228045.18 J

energy of all three blade=3*E=93684135.53J

(B)Let the rev be x rev/s

energy=3*0.5*I*(x*2pi)^2=13.5*10^6*3600

we get x=1138 rev/sec=68329.2 rev/min

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