Question: A thermometer has first-order dynamics with a time constant of 1 sec and is placed in a temperature bath at 120 F. After the

A thermometer has first-order dynamics with a time constant of 1 sec and is placed in a temperature bath at 120^∘F. After the thermometer reaches steady state, it is suddenly placed in a bath at 140^∘ F for 0 ≤ t ≤ 10 sec. Then it is returned to the bath at 100^∘F.
(a) Sketch the variation of the measured temperature T_m(t) with time.
(b) Calculate T_m (t) at t = 0.5 sec and at t = 15.0 sec. 5.28.

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The temperature of the bath can be described as T t 120 20St 40S t 10 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

1602_606321ef14747_679625.pdf

180 KBs PDF File

1602_606321ef14747_679625.docx

120 KBs Word File

Students Have Also Explored These Related Process Dynamics Control Questions!

Consider the block diagram in Fig. E24.2 of the multiple feedback loops involved in the Central Dogma schematic from Fig. 24.3, namely, genetic regulation C 1 , transnational regulation C 2 , and...

Consider the blending system shown in Figure. A feedback control system is used to reduce the effect of disturbances in feed composition, x 1 , n the controlled variable, product composition, x....

It is desired to control the angular displacement ( of a space vehicle by controlling the applied torque T supplied by thrusters (Figure PI2.8a). The plant model is Gp (s) = ( (s) / T (s) = 10 / s2...

A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100F. After the thermometer reaches steady state, it is suddenly placed in a bath at 110F at...

please this 1.2. A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100F. After the thermometer reaches steady state, it is suddenly placed in...

6. Assume that an ordinary mercury-in-glass thermometer follows first order dynamics with a time constant of 10 s. It is at a steady state temperature of 0 C. At time t = 0, the thermometer is...

sove this please ( a ) A thermometer of first order characteristics having a time constant of 5 seconds is at a steady state temperature of 3 0 C . At time t = 0 , the thermometer is placed in a...

A thermometer having a first order dynamics with a unity steady state gain and a time constant of iminis placed in o temperature both at 100% Atter the temperature reached steady state, it was...

a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...

A thermometer having first order dynamics is placed in a temperature bath of 30C and after reaching the thermometer at steady state, the temperature of the bath is varied in sinusoidal manners about...

There are 12 cans of soda in a case. Each can contains 16 oz ofsoda. Every 24 oz of soda contains 1 cup of sugar. How many cups ofsugar are in 3 cases of soda This is for my dosage calculations...

Since both use expanded polystyrene as a pattern, what is the primary difference between full-mold and lost-foam casting?

Assume that Q-Mart uses a perpetual FIFO inventory system. During the period, it sold 12 units. Calculate the dollar value of its cost of goods sold for the period. Jan 1 Beginning Inventory 10 @ $12...

10. Obtain a recent article (1997 or later) about Dr. Jack Kevorkian to share with the class. a. As a group, list the diagnoses of patients Dr. Kevorkian has assisted to commit suicide. b. Describe...

A process is characterized approximately by the transfer function (a) If its input u changes linearly, that is, u(t) = EtHow much would the response y(t) appear to lag the input u(t) fort >> ?1?(b)...

For the process described by the exact transfer function (a) Find an approximate transfer function of second-order-plus-time-delay form that describes this process.(b) Using Simulink, plot the...

Find the transfer functions P1(s) / Pa) and P2(s) / Pa(s) for the compressor-surge tank system of Exercise 2.5 when it is operated isothermally. Put the results in standard (gain/time constant) form....

You are a manager at North Fare, which is considering expanding its operations in synthetic fibre manufacturing Your boss comes into your office drops a constant report on your desk and complains "We...

I need Correct Answer Don't copy Paste (a) Let F:RR be a function defined as F(x)=2x.F is 11. (b) Let G:NN be a function defined as G(n)=2n2+1. G is not 11

5.1 Q2 A. You need a simple interest bridge loan to cover the costs of buying a new home while waiting to close on your old one. You need to finance $61,000 and bank will charge 3.5%. How much...