代写ENGE808-Advanced Measuring Systems Assessment 2A代做迭代

Faculty of Design and Creative Technologies  Master of Engineering

ENGE808-Advanced Measuring Systems

Assessment 2A

Due Date May 14, 2024

From Measurement Systems Application and Design (E. O. Doebelin) book:

Read Chapters 5-6, and

Solve the following problems

1.         The  torque  wrench  in  Fig.     1  is  claimed  to  produce  an  output  voltage e,,

proportional  to  the torque  applied  by  force f to  the   nut. irrespective of the point of force application Lf, as long  as Lf >  3L. Investigate the validity of this claim.

Figure: 1

2.          From the block diagram of Fig. 2, obtain the transfer function (e0  /Ti)(D), assuming 2 is small enough to neglect. Investigate the effect of system parameters on dynamic accuracy and stability.

Figure: 2

3.         In the system of Fig. 3:

1. For F = 0 and heat off, R1  = R2 = R3 = R4  and e0 = 0.

2. The gage factor of the gages is + 2.0, and the temperature coefficient of resistance of the gages is positive.

3. The modulus of elasticity of the beam decreases with increased temperature.

4. The thermal-expansion coefficient of the gage is greater than that of the beam.

5. Assume the gage temperature is the same as that of the beam immediately beneath it.

Figure: 3

At time t = 0, an upward force F is applied and maintained constant thereafter. After oscillations have died out, at a later time t1  the radiant-heat source is turned on and left on thereafter. Sketch the general form. of e0 versus t, justifying clearly by detailed reasoning the shape you give the curve.

4 .         A pressure pickup as in Fig. 4 has the following characteristics:

R = 3.0 in, rr, = 2.5 in, rt = 0.5 in,

E = 28 x 106  lb/in2

= 0.05 in

μ = 0.26

;· = 0.3 lbf/in'

gage resistance = 120 ohms

gage factor = 2.0

battery voltage = 5.0 V

(a)       Calculate the sensitivity in mV/(lb/in2).

(b)       What is the natural frequency in vacuum?

(c)       Based  on  below  equation, what is the maximum allowable pressure for 2 percent nonlinearity?

Figure 4: Diaphragm-type strain gage pressure pickup

5 .         For aliquid-filled transducer/tubing system, modify the text analysis to get a formula

for ωn. if the tubing is made of two sections of different lengths and diameters.

6 .         Compute the resistance change of 100-ohms coils of Manganin and gold chrome for 50,000 lb/in2 pressure and 100 'F temperature changes.

7.         Read Chapter 5. Summarize the chapter in minimum 300 words. This should be typed and clearly presented.

8           Read Chapter 6. Summarize the chapter in minimum 300 words. This should be typed and clearly presented.