If each of the three rotor helicopter blades is 3.75 mm long and has a mass of 135 kgkg, calculate the moment of inertia of the three rotor blades about the axis of rotation.

Respuesta :

Answer:

[tex]1.90\times10^{3}kg.m^2[/tex]

Explanation:

The computation of the moment of inertia of the three rotor blades is shown below:

Given that

Three rotor helicopter blades = 3.75 mm long

Mass = 135 kg

Based on the above information

As we know that

Axis at the end is

[tex]I_1 = \frac{1}{3} ML^2[/tex]

Now the total moment of inertia is

[tex]I = 3I_i\\\\= ML^2\\\\= (135 kg) (3.75m)^2\\\\= 1.90\times10^{3}kg.m^2[/tex]

Hence, the moment of inertia of the three rotor blades is [tex]1.90\times10^{3}kg.m^2[/tex]

We simply applied the above formula and the same is to be considered