Problem 1 a calibration equation for a temperature sensor

Question

Problem 1: A calibration equation for a temperature sensor calibrated for 100 ≤ T ≤ 500K is give as R = 1.25 - 0.03T + 5 * 10^-4T² + 1 * 10^-6T³ (with R in Ω and T in K). Determine the sensitivity of the temperature sensor at T = 300 K.

Problem 2: What type of strain gauge should be used for an application where the axes of the principal stresses are unknown?

Problem 3: For pipe flow, the Reynolds number for the flow is given as Re = ρVD/µ. In an experiment using water (ρ = 1000kg/m³), the following results were measured:

D = 0.5 ± 0.05mm, V = 10 ± 0.05 m/s, µ = 0.001 ± 5 * 10^-6 Pa.s.

a. Calculate the value of the Reynolds number (Re) and its uncertainty.

b. Which of the three measured results contributed the most to the uncertainty of Re?

c. If one could only reduce the uncertainty of one of the three measured results, which one should be reduced in order to minimize the uncertainty of Re?

Answer 1

Question 1: A calibration equation for the temperature sensor calibrated for 100 = T = 500K is provided as R = 1.25 - 0.03T + 5 * 10-4T2 + 1 * 10-6T3 (having R in O and T in K). Find out the sensitivity of temperature sensor at T = 300 K. Question 2: What kind of strain gauge must be employed for an application in which the axes of the principal stresses are unidentified? Question 3: For pipe flow, the Reynolds number for flow is provided as Re = ?VD/µ. In an experiment employing water (? = 1000kg/m3), the given outcomes were evaluated: a) Compute the value of the Reynolds number and its uncertainty. b) Name the three measured results contributed the most to uncertainty of Re?