Rotational Energy PHYS $2050,$ Fall $2024$ An eco$-$conscious, hipster DJ has a new turntable design for $12$inch $(30$cm$)$ LP records which he says will save energy. Instead of a disk to support the vinyl LPs$,$ he claims that a slightly smaller square plate will work. $30$cm $30$cm A$.)$ Assuming that both turntables have a mass of $1$kg$,$ what are the moments of inertia of the old, round turntable and the new, square turntable? $($note: You will have to convert the diagonal measurement of the square into the measurement of a side$)$ B$.)$ Will the new design save energy, when rotating at $33$rpm$?$ How much more or less energy?