How is the moment of inertia of airplanes measured?

In summary, Boeing uses a trifilar pendulum to measure moments of inertia. This test is used on small aircraft, but I wonder how it is done on bigger aircraft. It would be difficult to do because of the weight of the fuel and payload.
  • #1
ramzerimar
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I know it's possible to use a trifilar pendulum to extract information on moments of inertia by measuring the period of oscillation. I've seen this test being executed on small aircraft, like in this video.

But I wonder how do is the momement of inertia calculated on big aircraft, like a Boeing 707. Do they use the same principle of trifilar pendulum, just on a larger scale, or it's some other method?
 
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  • #2
It would be difficult to measure since the weigh of fuel and payload would be important under different conditions. The test would need to be repeated under different loads.
For a large aircraft the moment of inertia could be accurately calculated from the known mass distribution. That could be done for many different situations.
 
  • #3
Most aircraft manufacturers until recently had a weights department responsible for calculating weights of all individual components , subassemblies and complete aircraft .

The weights information was tabulated in such a way that the centre of mass position and moment of inertia could easily be worked out multiple times as the design evolved but without having to do the whole calculation from scratch again .
 
  • #4
The centre of mass of an aircraft has to be controlled because it affects stability - so it's vital to know where all the mass is going during the design phase. Should be reasonably simple to calculate the moment of inertia from that data.
 
  • #5
The mass distribution is important as well since this affects the way that g loads are distributed in the structure .

For practical calculations on complete aircraft or larger subsections like fuselage or wings the individual component masses were usually lumped together at nodes distributed along or over the structure .

Incidentally they were always 'Weights' departments . This comes from the earliest days of aviation when only the simple 1g weight of components mattered much for aircraft performance . It was quite a few years later before higher g levels in flight became a problem .
 
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1. How is the moment of inertia of airplanes defined?

The moment of inertia of an airplane is a measure of its resistance to rotational motion and is defined as the sum of the products of the mass of each particle in the airplane and the square of its distance from the axis of rotation.

2. What equipment is used to measure the moment of inertia of airplanes?

The most common equipment used to measure the moment of inertia of airplanes is a specially designed pendulum apparatus, which allows for precise measurements of the airplane's oscillation period and mass distribution.

3. How is the airplane positioned for measurement of its moment of inertia?

The airplane is typically suspended from a pivot point on the pendulum apparatus, with its longitudinal axis aligned parallel to the axis of rotation. Its center of mass must also be accurately determined and marked on the aircraft.

4. What measurements are taken to determine the moment of inertia of an airplane?

To determine the moment of inertia, the length of the pendulum, the oscillation period of the airplane, and the distance of the center of mass from the pivot point are measured. These measurements are then used in a mathematical equation to calculate the moment of inertia.

5. How is the moment of inertia of airplanes used in aircraft design?

The moment of inertia is an important factor in determining the stability and control of an airplane. It is used in the design process to ensure that the aircraft is balanced and maneuverable. A higher moment of inertia can also impact the performance and fuel efficiency of an airplane.

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