This paper deals with the motor, the inertia ratio, and the power input requirements for moving an inertial load over a specified distance in a specified time. A linear speed-torque relationship is assumed, and selected motor parameters are normalized to the load to establish generally applicable solutions and characteristic curves. Emphasis is placed on the velocity-time diagrams and the relationship among the inertia ratio, the rated motor power, and the electrical input power. It is shown that optimization is possible for input power at stall, input power immediately following torque reversal, and average input power. Computer generated curves are presented for these three cases, and their relationships are discussed. Finally, it is shown that the motor time constant has a great influence on power requirements.
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