Question 1. Suppose a system shown below has a transfer function of OL(s) 0.1 G(s): E (s) s(s + 4) for the applied voltage of 100 volts. By means of inverse Laplace transform, (a) find the load shaft's angular displacement as a function of time, 0,(t). (b) what is the number of turns of the shaft within the first 2.763 s. after the voltage is applied? (c) sketch a curve of the rotational speed of the shaft, wi, versus time. (d) determine the value of w̟ in terms of rpm at 0.5 sec. e (t) | Nị N3 e,(t) Motor N2 N4 Load

Introductory Circuit Analysis (13th Edition)
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Question 1. Suppose a system shown below has a transfer function of
OL(s)
0.1
G(s):
E (s) s(s + 4)
for the applied voltage of 100 volts. By means of inverse Laplace transform,
(a) find the load shaft's angular displacement as a function of time, 0,(t).
(b) what is the number of turns of the shaft within the first 2.763 s. after the voltage is
applied?
(c) sketch a curve of the rotational speed of the shaft, wi, versus time.
(d) determine the value of w̟ in terms of rpm at 0.5 sec.
e (t)
| Nị
N3
e,(t) Motor
N2
N4
Load
Transcribed Image Text:Question 1. Suppose a system shown below has a transfer function of OL(s) 0.1 G(s): E (s) s(s + 4) for the applied voltage of 100 volts. By means of inverse Laplace transform, (a) find the load shaft's angular displacement as a function of time, 0,(t). (b) what is the number of turns of the shaft within the first 2.763 s. after the voltage is applied? (c) sketch a curve of the rotational speed of the shaft, wi, versus time. (d) determine the value of w̟ in terms of rpm at 0.5 sec. e (t) | Nị N3 e,(t) Motor N2 N4 Load
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