The Diagnostic Test Centre/Blood Collection Lab will take samples of your blood and will send them to be tested. The samples will be tested to learn more about your condition and help guide discussion about your diagnosis and treatment. For general inquiries, please contact our 24-hour Call Centre at 416 340 LABS (5227) or 1 866 865 LABS.
to derive the moment of inertia of a solid sphere of uniform density and radius R. [tex] dI = r_{\perp}^{2} dm = r_{\perp}^{2} \rho dV [/tex] â. where [itex] r_{\perp} [/itex] is the perpendicular distance to a point at r from the axis of rotation. Therefore, [itex] r_{\perp} = |\mathbf{r}|\sin{\theta} [/itex].
EARTH'S MASS, DENSITY, AND MOMENT OF INERTIA. To learn what the earth is made of, our first constraint is its density (mass / volume). We find its mass from the acceleration of gravity g. The universal law of gravity says that the force F betwen objects M and m. =. Just as the linear velocity gives the change in position per unit time, the angular velocity or rotation rate is the change in angle per unit time. w. Similarly, just as mass measures an object's resistance to acceleration, its moment of inertia I shows how hard it is to get it rotating.