Calculate the moment of inertia of the three rotor helicopter blades

What is the moment of inertia of the three rotor helicopter blades?

Given the length of each rotor blade and its mass, how can we calculate the moment of inertia of the three rotor blades?

Moment of Inertia Calculation

The moment of inertia of an object is a measure of its resistance to changes in its rotation. In this case, we are tasked with calculating the moment of inertia of the three rotor helicopter blades, which are 3.75 mm long and have a mass of 135 kg.

To calculate the moment of inertia of the three rotor blades, we can use the formula: I = 3Ii, where Ii represents the moment of inertia of one rotor blade. The moment of inertia of an individual blade can be calculated using the formula I = (1/3) * ML^2, where M is the mass of the blade and L is the length of the blade.

Given that the length of each rotor blade is 3.75 mm (or 0.00375 m) and the mass of each blade is 135 kg, we can plug these values into the formula to first calculate the moment of inertia of one blade. After that, we can multiply this value by 3 to obtain the total moment of inertia of the three blades.

By substituting the values into the formula, we get:

Individual moment of inertia (Ii) = (1/3) * 135 kg * (0.00375 m)^2

Individual moment of inertia (Ii) = 1.90 x 10^(-3) kg·m^2

Total moment of inertia (I) = 3 * Ii = 3 * 1.90 x 10^(-3) kg·m^2 = 5.70 x 10^(-3) kg·m^2

Therefore, the moment of inertia of the three rotor helicopter blades is 5.70 x 10^(-3) kg·m^2.