Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0is placed in a temperature bath (25 °C). After the thermometer comes toequilibrium with the bath, the temperature of the bath is increased linearly%3Dat a rate of 1/min.(a) What is the difference between the measured temperature Tm and thebath temperature T at t = 0.1 min and t = 1.0 min after the change intemperature?(b) What is the maximum deviation between Tm(t) and T(t)? When does itoccur?(c) For large values of t, determine the time lag between Tm and T.

we let the actual fluid temperature be x, and the indicated thermometer temperature be y.

Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0 is placed in a temperature bath (25 °C). After the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly %3D at a rate of 1/min.

Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0 is placed in a temperature bath (25 °C). After the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly %3D at a rate of 1/min.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The graph shows the displacement versus time of a mass in a mass-damper-spring system. Which of the…

Q: Q1 The frequency equation of a 3 Degree of Freedom spring mass system (Figure Q1) is given as: m³w6…

Q: Phase (deg) Magnitude (dB) 20 20 40 180 135 90 45 10' 0 ġ(t) 하 R www Mechanical Deformation Piezo…

A: A.Given:C=1FR=0.5Ω Frequency components:Computationmaking the output voltage:B. (ANSWER) C. For…

Q: Determine the coefficients (a and b) for the baseflow (Qb) in using the data below. Find values for…

Q: A 5 kg object is hung from a spring whose other end is attached to a rigid support. The transient…

A: Solution: Given Data: m=5 kg To Find: (a) The damping ratio. (b) The stiffness of the spring. (c)…

Q: A thermocouple is connected to a data acquisition system which is used to measure temperature of air…

A: Given: The time constant, t = 0.5 s The frequency, w = 2 rad/s The amplitude, To = 10 C

Q: Consider the closed loop system with response shown in following figure. What is the 10%-90% rise…

A: Rise time in control systems refers to the amount of time it takes for a system's reaction to reach…

Q: LEASE GIVE COMPLETE AND DETAILED SOLUTION The oven shown in Figure 1 has a heating element, qi with…

A: Plant transfer function ;Gs=11+RCS =11+502s =11+100s =11+100sController transfer…

Q: Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace…

Q: b. Using Simulink, simulate the transfer function airflow response, Q(t) (air entering respiratory…

A: Doing et al. explained that the different ranges of R. Rp.1, and, C parameters are observed for both…

Q: An unmanned submarine is equipped with temperature and depth measuring instruments and has radio…

A: Given dataTx=T0-0.01xvelocity=0.5m/sT0=20°CTo find 1) table showing temp and dept measurement2)T at…

Q: An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial…

Q: Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2nf) (Eq. 1)…

A: Calculate the frequency of damped oscillations of the system in Hertz and rad/s.

Q: 'P' (liquid density "A" (tank cross sectional area) (imput Flow Ka P Qin = A "A" (head of liquid)…

Q: You are asked to design a garden hose with an integral flow sensor. Suppose the normal inside…

A: Given data Diameter of garden hose = d1 = 2 cm Diameter of special restrictor = d2 = 1 cm Flow…

Q: Match the following two frequency response diagrams: 40 iu 0.4 0.2 Response A 0 10 |G(i w)| 5 6…

A: The first curve has a wave form of continuous. This means that there is a damping in the system…

Q: 1 State, x(t) Problem 5 4 3 -5 O 2 Case 1 Time, sec. underdamped 5 4 3 critically damped overdamped…

Q: 6. Consider the mechanical system shown in Fig. 8. Let V(t) be the input and the acceleration of the…

A: Below is the clarified and detailed explanation for above tricky question....if you are ok with my…

Q: The system y(t)=x(t)cos[2(pi)t] is O nonlinear time invariant nonlinear time variant O linear time…

A: Given data: yt=xtcos2πt Need to determine the type vibration is.

Q: 1. Verify Eqs. 1 through 5. Figure 1: mass spring-damper In class, we have studied mechanical…

Q: the Laplace Transform 1 (s+2)(s+5) The corr be form:

A: To determine the Inverse Laplace of 1/(s+2)(s+5)

Q: The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx…

Q: ġ(t) ти x(t) k v(t) ➤f(t) Figure 1: A model of piezosensors Figure 2: A load cell to measure force…

A: 1. Notations and Given ValuesLet's define the following notations based on the textual description…

Q: For the system shown in Figure 2, u (t) and y(t) denote the absolute displacements of Building A and…

A: The harmonic displacement is

Q: Problem 4-1: During a step function calibration, a first-order instrument is exposed to a step…

Q: The Johnson & Royce model of a distillation column is driven by the inputs of steam flow and its…

A: Step 1: By expanding the determinant, (−2−λ)(−λ)−(−7)(1)=0λ2+2λ+7=0 Step 2: Use the quadratic…

Question

Q15/ A thermometer with first-order time constant = 0.1 min and gain = 1.0
is placed in a temperature bath (25 °C). After the thermometer comes to
equilibrium with the bath, the temperature of the bath is increased linearly
%3D
at a rate of 1/min.
(a) What is the difference between the measured temperature Tm and the
bath temperature T at t = 0.1 min and t = 1.0 min after the change in
temperature?
(b) What is the maximum deviation between Tm(t) and T(t)? When does it
occur?
(c) For large values of t, determine the time lag between Tm and T.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2
The mass, damping, and stiffness of the system m C can be adjusted to produce different dynamic responses. Match the frequency response functions (A)-(D) with their corresponding time-histories (W)-(Z). (W) (X) (A) (B) (Z) (D) (Y) A [Choose ] [ Choose ] [ Choose ] D [Choose ] B.
Construct the signal flow graph for following set of equations. X2 = a12 X, + a32 X3 + a42 X, + a52 Xg X3 = a23 X2 X4 = a34 %3D X3 + au X4 %3D = a35 X3 + a45
A test was undertaken to find the dynamic properties of a SDOF system. The measured transient response recorded is shown in Figure QA2a. If the stiffness of the system is 1,000 N/m estimate: i) the damping ratio, ii) the undamped natural frequency, and iii) the mass of the system. Displacement (m) 0.08 0.06 0.04 0.02 O -0.02 -0.04 -0.06 -0.08 Figure QA2a 0.5 Time (s) 1.5 2
A robot joint is to be moved from initial position 15 degrees to final position of 45 degrees in 5 seconds using a 3rd order polynomial: q(t) = a0 + a1 *t + %3D a2*t^2 + a3*t^3. Assume that the initial and final velocities are zeros. Calculate the parameters a0, a1, a2, and a3 a0=0, a13D15, a2=D1.8, a3=0.6 a0=15, a1=0, a2=D45, a3=D0 a0=15, a1=0, a2=3.6, a3=-0.48 a0=15, a1=45, a2=D1.88, a3=-0.62
Sketch frequency response of the system from part (a) in the form of Bode plot as accurately as you can.
d) A thermometer is initially at a temperature of 20 °C and is suddenly placed in a liquid which is maintained at 100 °C. The thermometer indicates 80 °C after a time interval of 4 0, = 0, (1-e) seconds. Knowing that the first order response is given as: estimate the time constant of the system.
Look at the below system. Assume that the forcing function is a sine and cosine response (i.e., F = Focos(wt) and F = Fösin(wt)). If your system has the following variables: m= K= 15 kg 207 F₁ = 168 w = w₁/2 Xo = 1 m/s Vo = -1 m/s Plot both responses of the system.
A step test of a transducer shows a signal having a damped oscillation decaying to a steady value. If the period of oscillation is 0.577 ms, what is the transducer ringing frequency?
Please don't provide handwritten solution.,.
The assignment is about dynamic characteristics of measurement systems
A single degree-of-freedom linear elastic structure was subjected to a series of harmonic excitations, one at a time. The excitations had the same forcing magnitude but different forcing frequency. Forcing frequencies and observed peak steady-state displacements are shown in the graph below. Find the natural period and damping ratio of the structure. Displacement (mm) 60 50 40 30 20 10 0 0 1 2 . 3 4 Forcing frequency, f [Hz] 5 4. 6 7