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At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order.

At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order. 110.00 100.00 90.00 80.00 70.00 60.00 50.00 40.00 30.00 20.00 Answer: 0 0.75 3 10 What is the DC gain of the system, O 1 1.333 20 Let 8(t) be the function describing the temperature increase, i.e. 8(t) = T(t) - 25, where T is the actual temperature. The input power is p(t) = 100 u(t) kW. What is a feasible time delay, in minutes, for the system? What is the transfer function e(s) = P(s) 30 e(s) P(s) 40 50 (in C°/kW)? 60 e(s) -? Provide at least 6 significant digits for the numerical coefficients. P(s)
Transcribed Image Text:At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order. 110.00 100.00 90.00 80.00 70.00 60.00 50.00 40.00 30.00 20.00 Answer: 0 0.75 3 10 What is the DC gain of the system, O 1 1.333 20 Let 8(t) be the function describing the temperature increase, i.e. 8(t) = T(t) - 25, where T is the actual temperature. The input power is p(t) = 100 u(t) kW. What is a feasible time delay, in minutes, for the system? What is the transfer function e(s) = P(s) 30 e(s) P(s) 40 50 (in C°/kW)? 60 e(s) -? Provide at least 6 significant digits for the numerical coefficients. P(s)
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