Question 1. Suppose that a de motor driving a conveyor band has the transfer function of G(S) 0₁(s)/Ea(s) = 0.05/[s(s+ 2)]. || (a) Find the time function of angular displacement, 0, (t), for ea-100 Volts. (b) Approximately how many tours that the load shaft is rotated until the time t=5.5 seconds? (c) Obtain the expression for rotational speed as function of time, w₁(t). (d) Plot roughly the rotational speed vs. time found in (c). (e) What would be the rotational speed in rad/sec and rpm at time t=2 seconds? (f) What is the steady state value of the speed in rad/sec and in rpm? (g) What is the time constant and settling time of the speed plot in seconds?
Question 1. Suppose that a de motor driving a conveyor band has the transfer function of G(S) 0₁(s)/Ea(s) = 0.05/[s(s+ 2)]. || (a) Find the time function of angular displacement, 0, (t), for ea-100 Volts. (b) Approximately how many tours that the load shaft is rotated until the time t=5.5 seconds? (c) Obtain the expression for rotational speed as function of time, w₁(t). (d) Plot roughly the rotational speed vs. time found in (c). (e) What would be the rotational speed in rad/sec and rpm at time t=2 seconds? (f) What is the steady state value of the speed in rad/sec and in rpm? (g) What is the time constant and settling time of the speed plot in seconds?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Step 1: we need to perform inverse Laplace transform on the transfer function G(s).
VIEWStep 2: rotational speed as a function of time, ω(t), can be obtained by taking the derivative of the angula
VIEWStep 3: In this case, since the system settles to 0 rad/s in the steady state, the steady-state error is zer
VIEWStep 4: The given system has a transfer function that represents a motor driving a conveyor belt
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