Final answer:
Without specific dimensions and mass distribution data, we cannot calculate the moment of inertia of the wheel. The formula for the moment of inertia of a wheel about its central axis is I = 0.5 * M * R², where I is moment of inertia, M is mass, and R is radius.
Step-by-step explanation:
To determine the moment of inertia of a wheel given the specific weight (γ) and the dimensions, one would typically require additional information such as the radius of the wheel, its width, and the mass distribution. However, with the information provided, we can touch upon the general approach for calculating the moment of inertia.
The moment of inertia (I) depends on the mass distribution relative to the axis of rotation. For a wheel, assuming it to be a uniform disk, the moment of inertia about an axis perpendicular to the plane of the wheel and passing through its center (central axis) can be given by the formula:
I = 0.5 * M * R²
Where I is the moment of inertia, M is the mass of the wheel, and R is the radius of the wheel. However, to find the mass (M) using the specific weight (γ), you would also need the volume of the wheel. Since these specifics are not provided in the scenario, we cannot complete the calculation but can outline the necessary steps.