Because of their knowledge of physics and interest in transportation, you\'ve go

Question

Because of their knowledge of physics and interest in transportation, you've got a summer job in the US company Sikorsky, they are interested in investigating the energy consumption of its new helicopter three rotors (Sikorky S-97 Raider). The rotor blade may be regarded as a thin rod. If each of the three rotor blades of the helicopter measures 3.75 m long and has a mass of 135 kg. a) Determine the energy needed to put to work the rotors (2) until the blades reach a speed of 5.0 rev / s. b) If regular gasoline was used to produce that energy -How gallons of it would be needed? Compare that with the energy consumed by an average household in Puerto Rico in a month. Explain your answers.

Explanation / Answer

Here,

mass , m = 135 Kg

L = 3.75 m

angular speed , w = 5 rev/s

w = 31.41 rad/s

Energy needed for rotors = 0.5 * 3 * (m * L^2/3) * w^2

Energy needed for rotors = 135 * 3.75^2 * 0.5 * 31.41^2

Energy needed for rotors = 9.37 *10^5 J

the Energy needed for rotors is 9.37 *10^5 J

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b)

calorific value of gasoline , S = 47300 * 10^3 J/Kg

let the mass of gasoline is m

9.37 *10^5 = m * 47300 * 10^3

m = 0.0198 Kg

volume = 0.0198/719.7 m^3

volume = 2.751 *10^-5 m^3

volume = (2.751 *10^-5 * 264.17) gallon

volume = 0.00727 gallon

the voluem of gasoline consumed is 0.00727 gallon

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