Solution: If we multiply all design dimensions of an object by a scaling factor f, its volume and mass will be multiplied by f3.a) By what factor will its moment of inertia be multiplied?b) If a (1/48)large{{frac{1}{48}}}-scale model has a rotational kinetic energy of 2.5 J, what will be the kinetic energy for the full-scale object of the same material rotating at the same angular velocity?

Problem
If we multiply all design dimensions of an object by a scaling factor f, its volume and mass will be multiplied by f3.
a) By what factor will its moment of inertia be multiplied?
b) If a (1/48)-scale model has a rotational kinetic energy of 2.5 J, what will be the kinetic energy for the full-scale object of the same material rotating at the same angular velocity?