The London, Edinburgh and Dublin philosophical magazine and journal of science . rm V V V p = F1 sin ^7r + P2 sin 2^7r + P3 sin 3^7r + .... ad infinitum ;where Pl7 P2, &c. are coefficients, positive or negative, tobe determined in accordance with the law to be sharper the point of the curve, the more considerable thehigher terms of the series will be. These forms, however, are useless for simple purposes ; andwe have to consider the representation of governing relationsby simple approximate formulae. The simplest assumption for many purposes is that thecurve consists of two str
The London, Edinburgh and Dublin philosophical magazine and journal of science . rm V V V p = F1 sin ^7r + P2 sin 2^7r + P3 sin 3^7r + .... ad infinitum ;where Pl7 P2, &c. are coefficients, positive or negative, tobe determined in accordance with the law to be sharper the point of the curve, the more considerable thehigher terms of the series will be. These forms, however, are useless for simple purposes ; andwe have to consider the representation of governing relationsby simple approximate formulae. The simplest assumption for many purposes is that thecurve consists of two straight lines, forming a triangle whosebase is V, the velocity of free running. The altitude of thevertex is P, the maximum power expended. If we supposethe vertex a little rounded, this may be adjusted to representmany cases. Fig. 2. Along OP the law maybe written p = av. Along PV it may bewritten p= — /3(v—V). The latter assumptionis not convenient for ourpresent purpose ; and weshall prefer to representthe falling part of the curve, which shows the cutting-off of the. p==-P(v-V). Dynamo-electric Machines. 279 power at increasing speeds by the governor or otherwise, by ahyperbolic curve. (1) Common rectangular hyperbola pv = K2 (fig. 3). (2) pv2=Kd (fig. 4). (n) pv7 E> +i Fig. 4. Fig. 3.
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Keywords: ., bookcentury1800, bookdecade1840, booksubjectscience, bookyear1840
