Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10, Problem 10.42P
A simple method to measure volume flow rate is to catch a volume of liquid over a period of time, Q = V/Z, Method 1 is to catch a known fixed volume over a measured time; Method 2 is to measure the volume captured in a fixed time. For Method 1, use 10 L. For Method 2, use 10 s. Estimate the volumes captured and times required for the two methods. Use flow rates of 3, 30, 300 L/min.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
6. A ball is thrown straight up in the air at time t = 0. Its height y(t) is given by
y(t) = vot -
791²
(1)
Calculate:
(a) The time at which the ball hits the ground. First, make an estimate using a scaling
analysis (the inputs are g and vo and the output is the time of landing. Think about
their units and how you might construct the output using the inputs, just by matching
units). Solve the problem exactly. Verify that the scaling analysis gives you (almost)
the correct answer.
(b) The times at which the ball reaches the height v/(4g). Use the quadratic formula.
(c) The times at which the ball reaches the height v/(2g). You should find that both
solutions are identical. What does this indicate physically?
(d) The times at which the ball reaches the height v/g. What is the physical interpretation
of your solutions?
(e) Does your scaling analysis provide any insight into the answers for questions (a-e)?
Discuss. (Hint: Observe how your answers depend on g and vo).
1| 2 | 3 | 4| 5 | 6 7 8 9 10
Measurement
Flow Rate (liters/hr)| 1066 1022 | 1143 995 1004| 927 | 1024 | 945 979 | 1059
1. The table above contains 10 measurements taken of the volume flow rate through a
pump running at a fixed operating conditions. Find the following statistical quantitie
for this data set:
a. The average flow rate: Vave
liters/hr.
b. The median flow rate: Vmedian
liters/hr.
c. The sample standard deviation: 0,
liters/hr.
A snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These velocity data are stored and analyzed via an embedded curve fitting procedure to determine a velocity function of v(t) = 1.5t2 + 2t + 2 (t is time in seconds and v is velocity in ft/s). At time equal 0, position (x) is zero. Find her position (e.g., distance traveled), velocity and acceleration formulations and values of each when time equals 15 seconds. Clearly write the formulas before finding respective values at t = 15 seconds!
Chapter 10 Solutions
Theory and Design for Mechanical Measurements
Ch. 10 - Prob. 10.1PCh. 10 - A 20-cm-i.d. pipe through which 10 °C air flows is...Ch. 10 - What is the best estimate of the pipe flow rate...Ch. 10 - A mercury-filled (S = 13.57) manometer is used in...Ch. 10 - A capacitance pressure transducer is used to...Ch. 10 - Estimate the expansion factor in measuring the...Ch. 10 - The Reynolds number of a fluid flowing through a...Ch. 10 - At what flow rate of 20 °C water through a 10-cm-...Ch. 10 - Water (25 °C) flows through a square-edged orifice...Ch. 10 - An orifice plate is installed to meter air flow in...
Ch. 10 - Determine the flow rate of 38 °C air through a...Ch. 10 - A square-edged orifice (p = 0.5) is used to meter...Ch. 10 - Size a suitable orifice plate to meter the steady...Ch. 10 - An in-line flow nozzle is to be used to measure...Ch. 10 - A cast venturi meter is to be used to meter the...Ch. 10 - For 120 ft3/m of 60 °F water flowing through a...Ch. 10 - Estimate the flow rate of water through a...Ch. 10 - A 2-in. (50.8 ram) diameter orifice plate is...Ch. 10 - In order to measure the flow rate ina2mx2mair...Ch. 10 - A flow nozzle is to be used at choked conditions...Ch. 10 - Compute the flow rate of 20 °C air through a 0.5-m...Ch. 10 - An ASME long radius nozzle (P = 0.5) is to be used...Ch. 10 - A square-edged orifice plate is selected to meter...Ch. 10 - Estimate the error contribution to the uncertainty...Ch. 10 - For Problem 10.24, suppose the air flow rate is 17...Ch. 10 - An application uses water flowing at up to...Ch. 10 - Dry air at a static pressure and temperature of...Ch. 10 - Dry air at a stagnation pressure and temperature...Ch. 10 - A sonic nozzle can be used to regulate flow rate...Ch. 10 - Select an appropriate range for a differential...Ch. 10 - From a vendor catalog or online site, select a...Ch. 10 - A vortex flow meter uses a shcdder having a...Ch. 10 - A thermal mass flow meter is used to meter 30 °C...Ch. 10 - Research available thermal mass flow meters...Ch. 10 - Fuel oil used in large sea vessels is known as...Ch. 10 - Estimate an uncertainty in the determined flow...Ch. 10 - A thermal mass flow meter is used to meter air in...Ch. 10 - A vortex meter is to use a shedder having a...Ch. 10 - An engineer has an application of water at 20 °C...Ch. 10 - The flow of air is measured to be 30 m3/min at 50...Ch. 10 - A 6 in. x 4 in. i.d. cast venturi is used to...Ch. 10 - A simple method to measure volume flow rate is to...Ch. 10 - In the problem 10.42, suppose volume can be...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Measurements at a certain point of a pipe have been done where the following parameters were recorded: Fluid of density = 887 kg/m3, Fluid velocity = 4 m/s, Pressure= 11.3 KN/m2 If the total energy per unit weight at this point = 32 m, then the potential energy is: O Zero m 10 m 20 m 30 m &arrow_forwardThe friction in flows through the pipe is defined by a dimensionless number called the fanning friction factor (f). The Fanning friction factor is represented by another dimensionless number, the Reynolds number (Re).It depends on the diameter of the pipe and some parameters related to the fluid. An equation that can predict f given the Reynolds number is given as follows. If Re =4000, e/D=0.01 in this equation, find the value of f using the Simple Iteration method by taking f0=0.1 as the initial value for the solution (ԑ=0.0001)arrow_forward(b) A pitot-static probe is use to determine the flow velocity by measuring the differential pressure. The pitot formula to obtain the flow velocity is, 2(P- P,) V = where, V is the velocity, P is pressure and pis fluid density. i) The pressure difference sensor use in the system is electronic types and the output of the device is measured in voltage. The output of the pressure device is 3.5 V and the linear relationship between the device and the pressure difference is 10 kPa/V. If the measured fluid is water at 20°C, determine the pressure difference inside the system the water velocity. ii) The Pitot-static tube is also commonly use in aircraft. An aircraft flying at 3000 m above sea level when the differential pressure reading clocked 3 kPa. Determine the speed of the aircraft.arrow_forward
- QUESTION 1 Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions are as follows: D (cm) 15 10 20 Pipeline L (m) 300 0.01 B 240 600 0.01 0.005 A 15 m 25 m B Figure 1 1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P and entry to pipelines A and B. 1.2 Find the pressure at P.arrow_forward4 Discharge, Q through a venturimeter depends on the following variable Inlet pipe diameter - D Throat diameter - d Pressure drop across the venturimeter - Ap Fluid density - P Dynamic viscosity - µ Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenon 5 The droplet size, D produced by a liquid spray nozzle depends on the following variable Nozzle diameter - d Jet velocity - U Fluid density - p Dynamic viscosity – u Surface tension - o Using MLT set of dimensions evaluate the dimensionless parameters correlating this phenomenonarrow_forwardA batch test on the sedimentation of slurry containing 200kg/m (C.) is carried out experimentally where the initial height of sediment zone is 900mm (h,). The following data are assumed as follows: Underflow concentration= 1200kg/m Feed flow rate-3m/min The relation between setting velocity (u.) and height of sediment zone (h.) can be represented by the following equation: u(mm/min)-0.0178 h- 3.22 Where the h have taken the values: 700,300,260,200 and 180 mm. Graphically, find the critical rate of sedimentation then the cross section area of tank.arrow_forward
- 2. In class, we derived an expression for hR/RT for a gas that obeyed the Pressure Explicit Virial Expansion truncated after the third term. In class, we assumed that B and C were not functions of temperature. a. Please rework the derivation with B = B(T) and C = 0. b. Please continue the derivation under the assumption that B(T) = mT + b. Where m and b are the slope and y-intercept of a straight, respectively. %3Darrow_forwardA water truck drives slowly around a construction site, spraying water to keep dust down. A pump maintains a constant pressure of 100 kPa, gage, and the water is dispersed through 20 spray nozzles, each of diameter 1 cm. If the truck is initially filled with 4000 L of water, and the flow rate is constant, determine how long the truck can drive before a refill is needed. [57.0 s]arrow_forward% ParametersD = 0.1; % Diameter of the tube (m)L = 1.0; % Length of the tube bundle (m)N = 8; % Number of tubes in the bundleU = 1.0; % Inlet velocity (m/s)rho = 1.2; % Density of the fluid (kg/m^3)mu = 0.01; % Dynamic viscosity of the fluid (Pa.s) % Define the grid size and time stepdx = D/10; % Spatial step size (m)dy = L/10; % Spatial step size (m)dt = 0.01; % Time step size (s) % Calculate the number of grid points in each directionnx = ceil(D/dx) + 1;ny = ceil(L/dy) + 1; % Create the velocity matrixU_matrix = U * ones(nx, ny); % Perform the iterationsfor iter = 1:100 % Calculate the velocity gradients dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx; dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy; % Calculate the pressure gradients dpdx = -mu * dUdx; dpdy = -mu * dUdy; % Calculate the change in velocity dU = dt * (dpdx / rho); % Update the velocity matrix U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU; % Apply…arrow_forward
- 1. Filtration Consider this data: Filtrate (ml) Axis Title 9 8 7 6 10 3 2 1 0 ● 0 5 Filtrate Volume (ml) 10 ● Filtrate Volume (ml) 15 20 time (min) 25 30 35 What is the coefficient of fluid loss CL? What is the spurt loss Vsp? time (min) PANASON 1 2 4 7 10 15 20 30 Filtrate Volume (ml) 1.4 3 3.4 3.6 4 3.9 4.8 5 6 01 6.5 8arrow_forwardCakulate the time rate of change of air density during expiration Assume that the lung (Fig. 3.11) has a total volume of 6000 ml, the diameter of the trachea is 18 mm, the airflow velocity out of the trachea is 20 cm/s, and the density of air is 1.225 kg/m. Also assume that lung volume is decreasing at a rate of 100 mL/s. Hello sir, I want the same solution, but in a detailed way and mention his data, a question, and a solution in detailing mathematics without words. Solution We will start from Eq. (3.24) because we are asked for the time rate of change of density. We are asked to find the time rate of change of air density; this suggests that Example 3.5 condis tions are representing a nonsteady flow scenario. In addition, we were told what the rate of change in the lung volume is during this procedure, further supporting the use of Eq. (3.24). pdV+ (3.24 ams Assume that at the instant in time that we are measuring the system, density is uniform within the volume of interest. This…arrow_forward2. An axial flow fan 1.83 m diameter is designed to run at a speed of 1400 rpm with an average axial air velocity of 12.2 m/s. A quarter scale model has been built to obtain a check on the design and the rotational speed of the model fan is 4200 rpm. Determine the axial air velocity of the model so that dynamical similarity with the full-scale fan is preserved. The effects of Reynolds number change may be neglected. A sufficiently large pressure vessel becomes available in which the complete model can be placed and tested under conditions of complete similarity. The viscosity of the air is independent of pressure and the temperature is maintained constant. At what pressure must the model be tested?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License