Question

43 Questions 1. Using Figure 4-2, determine the electrical relationship characterizing a standard DC motor. Express the relationship in the Laplace domain. L. i,o, M ry Figure 4-2 DC Motor Electric Circuit 2. Determine and evaluate the motor electrical time constant, τ.. This is done by assuming that the shaft is stationary. You can find the parameters of the motor in Table B-1. 3. Assume τ. is negligible and simplify the motor electrical relationship determined in question 1. What is the simplified electrical equation? 4. Neglecting the friction in the system, derive from the first dynamic principles the mechanical equation of motion of a DC motor. Determine the total (or equivalent) moment of inertia of motor rotor and load. 5. Calculate the moment of inertia of the inertial load which is made of aluminum. Also. evaluate the motor total moment ofinertia. You can find the parameters of the motor in Table B-1. (Hint: MM:) 6. Determine the maximum motor angular velocity omax from the motor specifications 7. Determine the maximum current. Imax and maximum generated torque. Tms from 8. During the laboratory session you will be experimentally estimating the motor (assume no disturbances and zero friction). the motor specifications torque constant. km. This can be done by applying constant voltages to the motor and measuring both corresponding steady-state current and speed (in radians per second). If the motor resistance is known, derive an expression that will allow you to solve for km 9. Determine the transfer function, Gv(s), of the motor from the voltage applied to the motor to motor speed. (Hint: the motor armature inductance should be Page 6