Doebelin's Measurement Systems Chapter 3.79 Quiz
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Questions and Answers

What is the main challenge in studying the dynamic response of first-order instruments?

  • The input and output are not closely proportional.
  • The output is difficult to measure accurately.
  • The input and output are difficult to differentiate.
  • The input follows complex mathematical functions. (correct)

    • How can the dynamic performance of a first-order instrument be studied?

  • By measuring the output at various time points.
  • By solving a differential equation for the output as a function of time. (correct)
  • By examining the response to random inputs.
  • By applying a constant input to the instrument.

    • What is the significance of the output being closely proportional to the input in a first-order instrument?

  • It implies random nature of the input.
  • It suggests a complex dynamic response.
  • It indicates good dynamic accuracy. (correct)
  • It leads to inaccurate measurements.

    • In what way can much be learned about instrument performance according to the text?

    <p>By using simplified representations of real inputs. (D)</p> Signup and view all the answers

    What is the fundamental difficulty in studying the dynamic response of first-order instruments according to the text?

    <p>The input follows complex mathematical functions. (D)</p> Signup and view all the answers

    What kind of inputs can be used to study instrument performance according to the text?

    <p>Simple 'standard' input functions (D)</p> Signup and view all the answers

    What is the time constant of a first-order mercury in glass thermometer with a spherical bulb (diameter = 4mm), given the density of mercury=13600 kg/m3, specific heat = 0.15 kJ/kg °C, and heat transfer coefficient = 40 W/m2°C?

    <p>34.7 seconds (A)</p> Signup and view all the answers

    If the thermometer bulb had been cylindrical with the same volume and diameter as the spherical bulb (4mm), neglecting both end areas of the cylinder, what would be the time constant?

    <p>51 seconds (B)</p> Signup and view all the answers

    If the cylindrical bulb had accounted for one of the end areas, what would be the time constant?

    <p>37 seconds (A)</p> Signup and view all the answers

    What characteristic of first-order instruments does the speed of response depend on?

    <p>Time constant (D)</p> Signup and view all the answers

    How does the initial condition for applying a step input to a system (e.g., thermometer) change at time t=0?

    <p>$q_{i}=0$ (C)</p> Signup and view all the answers

    What does the complementary-function solution for a step input to a system (e.g., thermometer) represent?

    <p>$4C_{e}^{-t}$ (B)</p> Signup and view all the answers

    What is the effect of a smaller T on the speed of response in first-order instruments?

    <p>Faster speed of response (B)</p> Signup and view all the answers

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