$3\mathrm{.}27$ An application demands that a sinusoidal pressure variation of $250$ Hz be measured with no more than $2\%$ dynamic error. In selecting a suitable pressure transducer from a vendor catalog, you note that a desirable line of transducers has a fixed natural frequency of $600$ Hz but that you have a choice of transducer damping ratios of between $0\mathrm{.}5$ and $1\mathrm{.}5$ in increments of $0\mathrm{.}05.$ Select a suitable transducer.