The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/s is 2000 j. what is the moment of inertia of the propeller?

Respuesta :

The moment of inertia of the propeller will be "0.3058 k.gm²"

Given.

Angle of rotation, = 124 rad/s

Work completed, W = 2351.3 J

The Work-Energy Principle is used as,

Kinetic energy Equals Net work done; (W) = (K.E)

We are aware,

→ K.E = × l × ω²

then,

→ W = × l × ω²

By exchanging the values, we obtain

2351.3 = × l × (124)²

thus, The moment of inertia,

I = 2351.3 × 2/[tex]124^{2}[/tex]

= 0.3058 k.gm²

The moment of inertia of the propeller will be "0.3058 k.gm²"

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