The Moment of Inertia Calculation for Helicopter Rotor Blades
What is the formula for calculating the moment of inertia of an object?
The formula for expressing the moment of inertia is expressed as; I = 1/3mr².
How can we calculate the moment of inertia of the three rotor helicopter blades?
If each of the three rotor helicopter blades is 3.50 m long and has a mass of 120 kg, calculate the moment of inertia of the three rotor blades about the axis of rotation.
Formula for Moment of Inertia
The formula for expressing the moment of inertia is I = 1/3mr², where m is the mass of the body and r is the radius.
Calculation for Helicopter Rotor Blades
To calculate the moment of inertia of the three rotor blades, we can use the given values of mass and length of the blades.
The moment of inertia of an object is a measure of its resistance to changes in its rotation speed. It depends on the mass distribution of the object and the axis of rotation. In the case of the three rotor helicopter blades, we are given that each blade is 3.50 m long and has a mass of 120 kg.
By using the formula I = 1/3mr², where m = 120 kg and r = 3.50 m, we can calculate the moment of inertia of each blade. Since there are three blades, we need to multiply this value by 3 to get the total moment of inertia for all three blades.
Substitute the values into the formula: I = 1/3 * 120 kg * (3.50 m)² I = 1/3 * 120 kg * 12.25 m² I = 1/3 * 1470 kgm² I = 490 kgm²
Therefore, the moment of inertia of each rotor blade is 490 kgm². This value represents the resistance of the rotor blades to changes in their rotation speed about the axis of rotation.