A helicopter has two blades (see figure), each of which has a mass of 220 kg...

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A helicopter has two blades (see figure), each of which has amass of 220 kg and can be approximated as a thin rod of length 6.7m. The blades are rotating at an angular speed of 43 rad/s.(a) What is the total moment of inertia of the twoblades about the axis of rotation? (a) Determinethe rotational kinetic energy of the spinning blades.

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3.5 Ratings (594 Votes)

Total length of two blades L = 6.7 m + 6.7 m

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 13.4 m

Total Mass of the blades M = 220 + 220 = 440 kg

Angular speed w = 43 rad / s

(a) the total moment of inertia of the two blades about the axis of rotation

Â Â Â Â Â Â Â Â Â Â Â Â Â Â I = ML ² / 12

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 6583.86 kg m ²

(a) the rotational kinetic energy of the spinning blades K = ( 1/ 2) I w 2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 6.086 x 10 ⁶ J

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