How I Scales.? If we multiply all the 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 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?

Solution 51E Step 1 of 2: a) we have equation K = 21 I 2 and The general expression of I = m r + m r + .............. 1 1 1 1 3 In above expression each term will have the mass multiplied by f and the distance multiplied by f , and so the moment of is multiplied by f (f ) = f2 5