Moment of inertia of a flywheel disk

question:
Do you think the calculated moment of inertia is larger or smaller than the "true" moment of inertial of the actual disk?

question:
calculate the percent difference between the static and the dynamic moment. I got .0195kgm^2 for dynamic and .0202kgm^2 for static. Give plausible explanation/causes to account for the difference.

I don't have a configuration of the "actual" disk, but I suspect the flywheel shaft on either side was not included.

Difference between static and dynamic? Typically, static is slightly larger, as in this case. Causes: Usually nonsymettrical mass (flywheel is not true on the shaft, or differences in flywheel thickness) is the cause. Flywheel wobble is a symptom.

To determine if the calculated moment of inertia is larger or smaller than the true moment of inertia of the actual disk, you would need to compare the calculated value to the known or measured value for the actual disk. If the calculated moment of inertia is larger than the true value, it means that the calculated value overestimates the actual moment of inertia. Conversely, if the calculated moment of inertia is smaller than the true value, it means that the calculated value underestimates the actual moment of inertia.

To calculate the percent difference between the static and dynamic moments, you can use the following formula:

Percent Difference = (|Dynamic Moment - Static Moment| / Static Moment) * 100

In your case, the dynamic moment is given as 0.0195 kgm^2 and the static moment is given as 0.0202 kgm^2.

Plugging these values into the formula, you would have:

Percent Difference = (|0.0195 - 0.0202| / 0.0202) * 100

Calculating this, the percent difference would be approximately 3.5%.

The plausible explanation for the difference between the static and dynamic moments could be that the calculated value includes the moment of inertia of the flywheel disk alone, whereas the actual disk may have additional components such as a flywheel shaft. If the flywheel shaft on either side is not included in the calculation, it would lead to a smaller calculated moment of inertia compared to the true moment. Other factors that could contribute to the difference include non-symmetrical mass distribution, such as the flywheel not being centered properly on the shaft or variations in the thickness of the flywheel. These factors can lead to flywheel wobble, which affects the distribution of mass and consequently the calculated moment of inertia.