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RGPV Mechanical Engineering (Semester 5)
Mechanical Measurement & control
December 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1(a) Define a zero order system.
2 M
1(b) What is static and dynamic calibration?
2 M
1(c) Give two advantages of each
i) Mechanical instruments
ii) Electrical instruments
iii) Electric instruments
3 M
Solve any one question from Q.1(d) & Q.1(e)
1(d) Give differential equation for a general first order system and derive transfer function for it.
7 M
1(e) Write the general input function for second order system and draw for second order system
i) Frequency response Vs magnitude ratio
ii) Frequency response Vs phase shift.
7 M

2(a) Draw normal distribution curve.
2 M
2(b) What is regression analysis?
2 M
2(c) Explain the method to estimate the propagation of error.
3 M
Solve any one question from Q.2(d) & Q.2(e)
2(d) A force measuring instrument described by the following data.
Resolution - 0.25 n
Range -0-100 N
Linearity - within 0.3 N over range
Repeat ability - within 0.4N over range
Provide an estimate of the uncertainly attributable to this instrument and the instrument design stage uncertainly.
7 M
2(e) How the Gross, systematic, random errors are minimize. Explain RSS method of combining elemental errors.
7 M

3(a) Draw the Wheatstone Bridge circuit for temperature measurement.
2 M
3(b) What are Thermistors? Name some of its commercial forms.
2 M
3(c) What is the working principle of rotameter?
3 M
Solve any one question from Q.3(d) & Q.3(e)
3(d) Describe the construction and working of a venturimeter. Derive the expression for actual flow rate for in-compressible fluids.
7 M
3(e) Calculate the temperature sensitivity of a thermistor at 100°C. Its resistivity at 100°C is 1.1Ωm. Express the result in Ωm/k. Take β=4120k at 100°C.
7 M

4(a) How stress can be measured?
2 M
4(b) Explain the principle of working of resistance strain gauge.
2 M
4(c) Draw the diagram of Tachometer generator. Write its two limitations.
3 M
Solve any one question from Q.4(d) & Q.4(e)
4(d) Explain the method of measuring torque of rotating shafts using strain gauge.
7 M
4(e) Describe rope brake dynamo meter with the help of a neat sketch. Derive the expression for its power and torque.
7 M

5(a) Draw the basic structure of a feedback control system.
2 M
5(b) Compare open and closed loop system.
2 M
5(c) What is mechanical system? Write down the transfer function for various mechanical system.
3 M
Solve any one question from Q.5(d) & Q.5(e)
5(d) A system when excited by unit step function input gave the following response
c(t)=1-2e-t+4e-3t
Obtain the transfer function C(s)/R(s)
7 M
5(e) For the system whose open-loop transfer function is $G(s)=\dfrac{10}{s\left ( 0.2+1 \right )}$
Calculate static error constants Kp, Kv and Ka and obtain steady state error, when system is subjected to an input r(t)=A0+A1t
7 M

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