It is known that a thermometer is a first-order process. The transfer function of a thermometer is given as: 𝑌(&
Posted: Mon May 16, 2022 2:04 pm
It is known that a thermometer is a first-order process. The
transfer function of a thermometer is given as:
𝑌(𝑠)/𝑈(𝑠)=1/𝜏𝑠+1
where 𝑌(𝑠) and 𝑈(𝑠) are the output (indicated
temperature) and input (surrounding temperature)
respectively, τ=mC/hA is the time constant,
where
𝑚= mass of thermometer
𝐶= heat capacity of thermometer
ℎ= heat transfer coefficient
𝐴= surface area of thermometer
Which of the following can make the indicated thermometer to
respond faster for a change in input?
I. Decrease the surface area of thermometer
II. Increase the surface area of thermometer
III. Decrease the mass of thermometer
IV. Increase the mass of thermomete
transfer function of a thermometer is given as:
𝑌(𝑠)/𝑈(𝑠)=1/𝜏𝑠+1
where 𝑌(𝑠) and 𝑈(𝑠) are the output (indicated
temperature) and input (surrounding temperature)
respectively, τ=mC/hA is the time constant,
where
𝑚= mass of thermometer
𝐶= heat capacity of thermometer
ℎ= heat transfer coefficient
𝐴= surface area of thermometer
Which of the following can make the indicated thermometer to
respond faster for a change in input?
I. Decrease the surface area of thermometer
II. Increase the surface area of thermometer
III. Decrease the mass of thermometer
IV. Increase the mass of thermomete