Each of the three helicopter rotor blades shown in the figureis 5.20 m long and

Question

Each of the three helicopter rotor blades shown in the figureis 5.20 m long and has a mass of 240 kg. Therotor is rotating at 400 rpm.
A)   What is the rotational inertia of therotor assembly about the axis of rotation? (Each blade can beconsidered to be a thin rod.) B)   What is the kinetic energy ofrotation? Each of the three helicopter rotor blades shown in the figureis 5.20 m long and has a mass of 240 kg. Therotor is rotating at 400 rpm.
A)   What is the rotational inertia of therotor assembly about the axis of rotation? (Each blade can beconsidered to be a thin rod.) B)   What is the kinetic energy ofrotation?

Explanation / Answer

(a) The moment of inertia    I = 3(1/3 ML2 ) = (240 kg) (5.2m)2 = 6489.6 kg.m2 (b) The kinetic enregy      E = 1/2 I2 = 1/2 (6489.6) (400*2/60) = 1/2 (6489.6 )(41.86 )2                        = 5685731.9 J

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