One of the earliest means devised for measuring moderate pressures was the U-tube, liquid filled manometer...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
One of the earliest means devised for measuring moderate pressures was the U-tube, liquid filled manometer (Figure P1.1). Liquids used are typically mercury or water. The dynamics of a manometer can be described by a second order, linear ODE: APA = eghA+ (h/2)D(2L) + (h/2)(pLA) P2 "U' tube h/2 A FIGURE P1.1 Measurement Systems 35 From Figure P1.1, it can be seen that L is the total length of liquid in the U-tube, A is the area of liquid exposed to pressures P, and P; A=mr; r=tube lumen radius. AP=P1-P2, p=liquid density in kg/m, D=viscous damping constant, g= acceleration of gravity in m/sec², h=height difference between the two sides of the manometer. (a) Derive a transfer function for the manometer's dynamic response, (s) in time- constant form. (b) Give expressions for the manometer's undamped natural frequency, w, and its damping factor, §. (c) Calculate the numerical value for w, and D, given =04. Assume water is the liquid. Let L=1m, a=3.142 x 10-6m?. P, One of the earliest means devised for measuring moderate pressures was the U-tube, liquid filled manometer (Figure P1.1). Liquids used are typically mercury or water. The dynamics of a manometer can be described by a second order, linear ODE: APA = eghA+ (h/2)D(2L) + (h/2)(pLA) P2 "U' tube h/2 A FIGURE P1.1 Measurement Systems 35 From Figure P1.1, it can be seen that L is the total length of liquid in the U-tube, A is the area of liquid exposed to pressures P, and P; A=mr; r=tube lumen radius. AP=P1-P2, p=liquid density in kg/m, D=viscous damping constant, g= acceleration of gravity in m/sec², h=height difference between the two sides of the manometer. (a) Derive a transfer function for the manometer's dynamic response, (s) in time- constant form. (b) Give expressions for the manometer's undamped natural frequency, w, and its damping factor, §. (c) Calculate the numerical value for w, and D, given =04. Assume water is the liquid. Let L=1m, a=3.142 x 10-6m?. P,
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A magnetically suspended steel ball can be described by the linear equation The state variables are x1 = position and x2 = velocity, and both are measurable. Select a feedback so that the system is...
-
The growth of a company can be described by the equation N = 500(0.02)0.7t where t is the number of years the company has been in existence and N is the number of employees. (a) What is the number of...
-
A nonisothermal batch reactor can be described by the following equations dC/dt = - e(- 10/T + 273))C dT/dt = 1000e(- 10/T + 273))C 10(T - 20) where C is the concentration of the reactant and T in...
-
When will the balance in the intercorporate investment account be the same if the investment is carried at fair value, or if the equity method of accounting is used?
-
Evaluate the given expressions. nC0
-
You are presented with the following trial balance of Golden City Bhd as at 31 December 2020: Debit RM'000 Credit RM'000 Intangible assets 50 Plant at cost 100 Plant, accumulated depreciation, at 1...
-
A horizontal uninsulated steam pipe passes through a large room whose walls and ambient air are at \(300 \mathrm{~K}\). The pipe of \(125-\mathrm{mm}\) diameter has an emissivity of 0.85 and an outer...
-
The management of Kuiper Inc. asks your help in determining the comparative effects of the FIFO and LIFO inventory cost flow methods. For 2012, the accounting records show these data. Inventory,...
-
mment T4075 As CIT-1075 (1%) Consider ment CCIT 1075 Assignmes m-1 n=0 Consider the dataset {9}-0 Assume m is a multiple of (a) (1%) Suppose 9 = cos(2/3). Estimate the pmf of the random variable...
-
Becket Corporations accountant has prepared the following balance sheet as of November 10, 2020, the date on which the company is to release a plan for reorganizing operations under Chapter 11 of the...
-
The following table shows the output of rice and pencil one labor hour can produce in Malaysia and Indonesia: Malaysia : Rice - 1 Pencil - 3 Indonesia : Rice - 2 Pencil - 4 In Malaysia, what are the...
-
Interest rate risk and bond price changes Fidelity Music Inc. has an older high-yield bond (i.e., junk bond) issue and a more recent investment grade bond issue, both with $1,000 par values....
-
The dollar cost of debt for Coval Consulting, a U.S. research firm, is 7.6%. The firm faces a tax rate of 30% on all income, no matter where it is earned. Managers in the firm need to know its yen...
-
Eagletrons current stock price is $10. Suppose that over the current year, the stock price will either increase by 102% or decrease by 56%. Also, the risk-free rate is 25% (EAR). a. What is the value...
-
Nile Builders Ltd. is entering into a one-year overhaul and remodeling project. This will have a limiting effect on earnings during that time, but when completed, it should allow the company to enjoy...
-
Suppose the interest on Russian government bonds is 7.9%, and the current exchange rate is 28.6 rubles per dollar. If the forward exchange rate is 29.1 rubles per dollar, and the current U.S....
-
List all the given numbers that are (a) integers, (b) rational numbers, (c) irrational numbers, (d) real numbers, and (e) imaginary numbers. 5 1 5,-16, -7, - --6,-4.07 8 6'5'
-
Review Exhibit 11.4. Analyze each product on the graph according to the characteristics that influence the rate of adoption. For example, what can you conclude from the data about the relative...
-
Write the important resonance forms of the following anions. (a) (b) (c) 1 O-S-CH
-
When a small amount of iodine is added to a mixture of chlorine and methane, it prevents chlorination from occurring. Therefore, iodine is a free-radical inhibitor for this reaction. Calculate Ho...
-
The proton and 13C NMR spectra of a compound of formula C4H11N are shown here. Determine the structure of this amine, and give peak assignments for all of the protons in the structure. 200 180 160...
-
Over a 5-year period, Eureka Ltd completed the following transactions affecting non-current assets in financial years ending 30 June. The company uses straight-line depreciation on all depreciable...
-
On 2 January 2024, Omega Ltd purchased, by exchanging \($420\) 000 cash and a \($250\) 000, 12%, 18-month finance company loan, assets with the following independently determined appraised values....
-
Pioneer Manufacturing Ltd completed the following transactions during 2023: Required Prepare journal entries to record all the transactions of Pioneer Manufacturing Ltd from 1 July 2023 to 30 June...
Study smarter with the SolutionInn App