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barcode generator vb.net source code Area Sums for Example 2 in Software
TABLE 7.2 Area Sums for Example 2 Decoding GTIN  13 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. UPC  13 Generation In None Using Barcode generator for Software Control to generate, create GS1  13 image in Software applications. Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. EAN13 Supplement 5 Recognizer In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Creating EAN13 Supplement 5 In Visual C# Using Barcode maker for .NET framework Control to generate, create EAN13 image in VS .NET applications. FLYWHEELS 7.7
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EAN 13 Encoder In Visual Basic .NET Using Barcode creator for .NET Control to generate, create UPC  13 image in Visual Studio .NET applications. Generate GTIN  12 In None Using Barcode creator for Software Control to generate, create UPC Code image in Software applications. 7.2.3 Coefficient of Energy Variation The torqueangle relationship for an engine depends on the fuel, gas pressures, reciprocating masses, speed, and engine geometry [7.2]. The large variation that is possible between different engine designs shows that dynamic measurement or kinematic analysis is necessary to determine the torque fluctuation. It is often necessary, however, to come up with a rough estimate for preliminary design purposes or for checking the reasonableness of calculated values. For these purposes, the energy variation for an internalcombustion engine can be estimated by U = Cu KP (7.10) Paint GTIN  13 In None Using Barcode creator for Software Control to generate, create EAN13 image in Software applications. Paint USS128 In None Using Barcode generator for Software Control to generate, create USS128 image in Software applications. where K = 33 000 lb ft rpm/hp [2 J rad/(W s)]. The coefficient of energy variation Cu can be approximated for a twostroke engine with from 1 to 8 cylinders using the equation Cu = 7.46 (Nc + 1)3 (7.11) ANSI/AIM Code 39 Creator In None Using Barcode creator for Software Control to generate, create ANSI/AIM Code 39 image in Software applications. Encoding Bar Code In None Using Barcode drawer for Software Control to generate, create bar code image in Software applications. and for a fourstroke engine with from 1 to 16 cylinders using the twobranched equation Cu = 0.8 0.015 Nc 1.41.3 (7.12) Leitcode Encoder In None Using Barcode drawer for Software Control to generate, create Leitcode image in Software applications. Generating Bar Code In Visual C# Using Barcode encoder for .NET framework Control to generate, create bar code image in .NET framework applications. Example 3. A 150hp fourcylinder, fourstroke engine has a flywheel speed of 1000 rpm. Estimate the flywheel necessary for a 2 percent speed variation with a uniform load at an engine speed of 3000 rpm, neglecting the flywheel effect of the other rotating parts. Using Eq. (7.12), Cu = Then from Eq. (7.10), U = 0.22 33 000(150) = 363 lb ft 3000 (7.14) 0.8 0.015 = 0.22 4 1.41.3 (7.13) Decoding Bar Code In Visual C# Using Barcode recognizer for VS .NET Control to read, scan read, scan image in VS .NET applications. Barcode Printer In .NET Using Barcode creation for .NET Control to generate, create barcode image in Visual Studio .NET applications. so that from Eq. (7.2), with = 2 (1000)/60 = 105 rad/s, J= 363 = 1.6 lb s2 ft 1052(0.02) (7.15) EAN / UCC  13 Drawer In None Using Barcode generator for Office Word Control to generate, create EAN 128 image in Microsoft Word applications. Encoding GS1 RSS In .NET Framework Using Barcode encoder for .NET Control to generate, create DataBar image in VS .NET applications. 7.2.4 Angular Fluctuation Certain machines, such as electric generators and magnetic digital storage systems, must maintain their angular position within a close tolerance of the constantspeed position. If the torque is known as a function of time, it can be integrated to deter Drawing Code 3/9 In Java Using Barcode generator for Android Control to generate, create Code 39 Extended image in Android applications. Scan UPCA Supplement 2 In Visual Basic .NET Using Barcode decoder for Visual Studio .NET Control to read, scan read, scan image in VS .NET applications. Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. FLYWHEELS 7.8
MACHINE ELEMENTS THAT ABSORB AND STORE ENERGY
mine the angular velocity, and then the angular velocity can be integrated to give the angular position: (t) = T( ) d + 0 J ( ) d + 0t + 0
(7.16) (7.17) (t) = where the 0t + 0 term represents the constantspeed position. In the more usual instance, the torque is known only as a function of angle. For small values of Cs , however, the torquetime curve is indistinguishable from the torqueangle curve with the angle coordinate divided by avg. Example 4. A generator with the input torque given in Fig. 7.3a must maintain an angular position within 0.25 degrees of the uniform 200rpm position. Assuming a uniform load, what flywheel inertia is necessary For illustration purposes, the machine cycle will be divided into 10 intervals of t = 0.03 s each, as shown in Fig. 7.3a. For an accurate solution, the problem would be programmed with perhaps 20 intervals. The torque at each step is tabulated (column 3 in Table 7.3), and then the average torque in each interval is placed in column 4. This value, if multiplied by t, would be the area below the curve using the trapezoid rule. Adding these average torques (column 5) and dividing by 10 intervals gives the average torque for the curve, 902 lb ft (column 6), shown as the dashed line in Fig. 7.3a. Subtracting this average, the constant loading torque, from column 4 gives column 7, the average excess of supplied torque in each interval. The running sum of these values (column 8) performs the integration, to give J / t (see Fig. 7.3b). The relative speed at the end of each interval is therefore the value in column 8 times t/J. The procedure is repeated for the second integration, giving columns 9 through 13. Column 13 is then J /( t)2 (Fig. 7.3c), so that the relative angular position is the value in column 13 times t 2/J. The maximum range in column 13 is 6915 ( 7725) = 14 640 lb ft. The maximum angular deviation from the mean position is calculated from half the maximum range, so that max = ( t)2 (14 640) J(2) (7.18) For max = 0.25 degrees = 0.004 36 rad deviation, this gives J= 0.032(14 640) = 1511 lb s2 ft 0.004 36(2) (7.19) The speed variation is determined as a byproduct of the process. The maximum range in column 8 is 9878 0 = 9878 lb ft. The maximum speed variation is then max min = t(9878) 0.03(9878) = = 0.196 rad/s J 1511 (7.20) For avg = 2 (200)/60 = 20.94 rad/s, the coefficient of speed fluctuation is then, from Eq. (7.1), Cs = 0.196 = 0.009 36 20.94 (7.21) Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.

