Q.10 -The water level ,h(t),is controlled by an open-loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft ,opening a valve The inductance of dc motor is negligible ,that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0, The height of the water in the tank is h(t)=[(1.60(1)-h(t))dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back emf constant K, = 0.0706V (rad/s).Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s). Amplifier K₁-50 100 Reservoir Valve 9₁ L 90
Q.10 -The water level ,h(t),is controlled by an open-loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft ,opening a valve The inductance of dc motor is negligible ,that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0, The height of the water in the tank is h(t)=[(1.60(1)-h(t))dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back emf constant K, = 0.0706V (rad/s).Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s). Amplifier K₁-50 100 Reservoir Valve 9₁ L 90
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Q.10 -The water level ,h(t) is controlled by an open-loop system as shown
in figure below. A dc motor controlled by an armature current turns a
shaft ,opening a valve The inductance of dc motor is negligible ,that is,
L = 0.Also the rotation friction of the motor shaft and valve is negligible
.That is,C=0,The height of the water in the tank is
h(1)=[(1.60 (1)-h(t))dt.
The motor constant is K=10, the inertia of the motor shaft and valve is
J=6x10³ Kg.m² and back emf constant K, = 0.0706/(rad/s).Determine
i-The deferential equation for h(t) and V(t).
ii-The transfer function H(s)/V(s).
1
Amplifier
K₁=50
100
Reservoir
Valve
IL
90
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