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Unformatted text preview: Assignment #17 ECSE-2410 Signals & Systems - Spring 2007 Fri 04/06/07 1(30 pts). For the DC motor circuit below, the input voltage is v ( t ) and the output motor angular position is θ ( t ) . The motor constant is K t , the back EMF constant is K b , the torque is ) ( t τ , and the back EMF voltage is . The armature inductance and friction are negligible. Also assume the rotating load on the motor shaft has only inertia and no viscous friction. ) ( t v b ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( s T t s V t v s t s V t v b b ↔ ↔ ↔ ↔ τ θ θ R θ (t) v ( t ) - ) ( t v b + τ (t)- + J (inertia) a.) (10 pts) Find the transfer function ) ( ) ( s V s b θ . b.) (10 pts) Find the transfer function ) ( ) ( s T s θ . c.) (10 pts) Find the torque developed by the motor, T (s), as a function of the input voltage, V ( s ), the resistance R , the back-emf voltage, V b (s), and . t K 2(15). Shown below is a DC motor. From the motor data sheet, the resistance of the armature is R = 4 ohms, the moment of inertia of the armature and the armature inductance are negligible, the motor constant...
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This homework help was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
- Spring '07