A rotating load is connected to a field-controlled DC electric motor through a gear system. The motor is assumed to be linear. A test results in the output load reaching a speed of 1 rad/s within 0.5 s when a constant 80 V is applied to the motor terminals. The output steady-state speed is 2.4 rad/s. Determine the transfer function of the motor, in rad/V. The inductance of the field may be assumed to be negligible. Also, note that the application of 80 V to the motor terminals is a step input of 80 V in magnitude. Hint: Look to find values for combinations of variables like km/(b* Rf) and b/J. Use the Final Value Theorem in the S Domain and the other condition in the time domain to create equations for the combinations. Answer: Theta(s)/Vs = 0.0324/(s* (s+1.08))

A rotating load is connected to a field-controlled DC electric motor through a gear system. The motor is assumed to be linear. A test results in the output load reaching a speed of 1 rad/s within 0.5 s when a constant 80 V is applied to the motor terminals. The output steady-state speed is 2.4 rad/s. Determine the transfer function of the motor, in rad/V. The inductance of the field may be assumed to be negligible. Also, note that the application of 80 V to the motor terminals is a step input of 80 V in magnitude. Hint: Look to find values for combinations of variables like km/(b* Rf) and b/J. Use the Final Value Theorem in the S Domain and the other condition in the time domain to create equations for the combinations. Answer: Theta(s)/Vs = 0.0324/(s* (s+1.08))

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 7RQ: An RC series circuit is connected to a 120-V, 60-Hz power source. The resistor is 25 and has a...

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