Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 1, Problem 1.52P
Show how the following functions can be transformed into a linear curve of the form Y = a\X + aowhere a\ and ao are constants. Let zw, b, and c be constants.
- y = bx™
- y = be™
- y = b + cy/x
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Fix my MATLAB code.
% Define unknown quantities in x-y system
% abc = Acceleration of B wrt C on beam CD in i direction
% vbc = Velocity of B wrt C on beam CD in i direction
% xacd = Angular acceleration of beam CD in k direction
% xvcd = Angular velocity of beam CD in k direction
syms abc vbc xacd xvcd;
% Create Unit Vectors in x-y coordinates
i = [1,0,0];
j = [0,1,0];
k = [0,0,1];
% Create Unit Vectors in X-Y coordinates (R is rotation Matrix)
Theta = 150; % Angle from X-axis to x-axis
R = [[cosd(Theta),-sind(Theta), 0]; ...
[sind(Theta), cosd(Theta), 0]; [0, 0, 1]];
XYZ = R*[i;j;k];
I = XYZ(1,:);
J = XYZ(2,:);
K = XYZ(3,:);
% Set known quantities for Beam AB (no slider connection).
xVab = -2.5*K; % Angular Velocity of Beam AB
xAab = -3*K; % Angular Acceleration of Beam AB
Rba = 0.2*(cosd(135)*I + sind(135)*J ); % Vector from A to B in X-Y
% Calculate velocity and acceleration of point B
% due to rotation of Beam AB (no slider connection).
Vb1 = cross(xVab,Rba);
Ab1 =…
Handwriting solutions must
Determine the DE for: Straight lines at a fixed distance P from the origin.
a. (xy" – y)? = P²[1+ (y')²]
%3D
b. (xy' – y)? = p2[1+ (y')²]
c. (xy' – y)3 = p3[1+ (y')³]
d. (xy" – y)3 = p³[1 + (y')³]
e. none of these
Chapter 1 Solutions
Theory and Design for Mechanical Measurements
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Ch. 1 - State the purpose of using randomization methods...Ch. 1 - Provide an example of repetition and replication...Ch. 1 - Develop a test plan that might be used to estimate...Ch. 1 - Develop a test plan that might be used to evaluate...Ch. 1 - A race engine shop has just completed two engines...Ch. 1 - A thermodynamics model assumes that a particular...Ch. 1 - Regarding the Mars Climate Orbiter spacecraft...Ch. 1 - A large batch of carefully made machine shafts can...Ch. 1 - Suggest an approach or approaches to estimate the...Ch. 1 - Suggest a test matrix to evaluate the wear...Ch. 1 - Figure 1.15 Orifice flow meter setup used for...Ch. 1 - The sale of motor fuel is an essential business in...Ch. 1 - Using either the ASME 19.5 or ISO 5167 test...Ch. 1 - A simple thermocouple circuit is formed using two...Ch. 1 - 1.25 A linear variable displacement transducer...Ch. 1 - For the LVDT calibration of the previous problem,...Ch. 1 - A manufacturer wants to quantify the expected...Ch. 1 - Prob. 1.28PCh. 1 - As described in a preceding problem, the...Ch. 1 - Light gates may be used to measure the speed of...Ch. 1 - You estimate your car’s fuel use by recording...Ch. 1 - When discussing concomitant methods, we used the...Ch. 1 - Prob. 1.33PCh. 1 - For the strain gauge calibration of the previous...Ch. 1 - The acceleration of a cart down a plane inclined...Ch. 1 - In general, what is meant by the term “standard”?...Ch. 1 - A common scenario: An engineer has two pencil-...Ch. 1 - Explain the potential differences in the following...Ch. 1 - Research the following test standards and codes....Ch. 1 - A hotel chain based in the United States contracts...Ch. 1 - Test code ASTM 558-13 allows for the comparison of...Ch. 1 - Suggest a reasonable number of significant digits...Ch. 1 - Using spreadsheet software (such as Microsoft...Ch. 1 - Prob. 1.44PCh. 1 - Round the following numbers to 3 significant...Ch. 1 - Express the result, rounding to an appropriate num...Ch. 1 - Express the result by rounding to an appropriate...Ch. 1 - A car’s speed is determined by the time it takes...Ch. 1 - How much error could you tolerate in (1) book...Ch. 1 - Apply the guidelines to determine the number of...Ch. 1 - Using a tape measure having 1 mm graduations, the...Ch. 1 - Show how the following functions can be...Ch. 1 - Prob. 1.53PCh. 1 - For the calibration data of Table 1.5, determine...Ch. 1 - Prob. 1.55PCh. 1 - Each of the following equations can be represented...Ch. 1 - Plot y = 10e“° 5x volts on in semilog format (use...Ch. 1 - Prob. 1.58PCh. 1 - Prob. 1.59P
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