The equivalent circuit of a transducer that measures the speed of a motor is a current source in parallel with an output resistance. The current source produces an output of \(1 \mu \mathrm{A}\) per revolution per second of the motor and the output resistance is \(50 \mathrm{k} \Omega\). Design a discrete transistor circuit that produces a full-scale output of \(5 \mathrm{~V}\) for a maximum motor speed of 60 revolutions per second. The nominal transistor current gain is \(h_{F E}=100\) with tolerances of \(\pm 20\) percent. The accuracy of the output signal is to remain within \(\pm 1\) percent.