# Calculating Moment of Inertia for Turbine-Compressor Spool

• Bonavaero
In summary, the moment of inertia of a turbine-compressor spool can be calculated using the formula I = Σmr², where I is the moment of inertia, Σ is the sum of all the individual masses (m) multiplied by the square of their respective distances from the axis of rotation (r). It is also possible to approximate the moment of inertia analytically by considering the spool as a stack of discs of reducing diameter. As for the minimum speed (torque) of a GT4088 turbocharger, it is best to contact the manufacturer directly for that information.
Bonavaero
Hi guys, just wanted to know how the moment of inertia of a turbine-compressor spool can be calculated. How about starting with the units as stacks of discs of reducing diameter to the fore.
And also has anyone any idea of the minimum speed (torque) of a GT4088 turbocharger. I couldn't find it on the manufacturer site.

Typically I would click

Select > Solid Bodies [then]
Mass Properties

Then I would look at the number besides Ixx.

Assuming you don't have a solid model, you can approximate it using analytical equations. Draw a rough cross section and find it analytically assuming solid rings, or shells of revolution.

Hi there! Calculating the moment of inertia for a turbine-compressor spool can be done by using the formula I = Σmr², where I is the moment of inertia, Σ is the sum of all the individual masses (m) multiplied by the square of their respective distances from the axis of rotation (r). In this case, you can think of the spool as a stack of discs of reducing diameter, with each disc having a mass (m) and a distance (r) from the axis. By summing up all the individual moments of inertia for each disc, you can get the total moment of inertia for the spool.

As for the minimum speed (torque) of a GT4088 turbocharger, it's best to contact the manufacturer directly for that information. They should have specifications or technical documents available that can provide the minimum speed and torque values for the turbocharger. Hope this helps!

## 1. What is the moment of inertia?

The moment of inertia is a measure of an object's resistance to rotational motion. It is calculated by taking the sum of the mass of each particle in the object multiplied by the square of its distance from the axis of rotation.

## 2. Why is it important to calculate the moment of inertia for a turbine-compressor spool?

Calculating the moment of inertia for a turbine-compressor spool is important because it helps engineers understand the spool's rotational behavior and how much energy is needed to accelerate or decelerate it. This information is crucial for designing efficient and safe turbine-compressor systems.

## 3. How is the moment of inertia calculated for a turbine-compressor spool?

The moment of inertia for a turbine-compressor spool can be calculated using the formula: I = Σmr², where I is the moment of inertia, Σm is the sum of the mass of each particle in the spool, and r is the distance of each particle from the axis of rotation.

## 4. What factors can affect the moment of inertia for a turbine-compressor spool?

The moment of inertia for a turbine-compressor spool can be affected by the mass distribution of the spool, the shape and size of the spool, and the distance of the particles from the axis of rotation. Additionally, any changes in the spool's design, such as adding or removing components, can also affect the moment of inertia.

## 5. How can the moment of inertia for a turbine-compressor spool be used in practical applications?

The moment of inertia for a turbine-compressor spool is used in practical applications to determine the spool's rotational speed and acceleration, which are important factors in the performance and efficiency of a turbine-compressor system. It is also used in safety calculations to ensure that the spool can handle the necessary forces and stresses without causing damage or failure.

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