Q.1- 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, L₁ = 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 e.m.f 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 4 - 50 100 Valve (1) 61)
Q.1- 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, L₁ = 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 e.m.f 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 4 - 50 100 Valve (1) 61)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Transcribed Image Text:Q.1- 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,
L₁=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(t) — h(t))dt .
The motor constant is K=10, the inertia of the motor shaft and valve is
J=6x10³ Kg.m² and back e.m.f 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
k - 50
1001
www
Valve
(1)
(1)
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