Applied Calculus; An Introductory Textbook

Applied Calculus; An Introductory Textbook

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1922 edition. Excerpt: ...projectile is given approximately by where y is the altitude of the projectile, x the horizontal distance of it from the point at which it is fired, and 6 is the angle of inclination of the axis of the gun to the horizontal. A is a constant, depending on the initial velocity of the projectile. Find for what value of 6 the horizontal range is a maximum. This equation ignores, among other things, air resistance. Would you expect your result to be greater or less than the more correct result, in deriving which air resistance is allowed for? 8. In the example of the soap bubble (p. 229), suppose the bubble carries a charge of electricity e. How would this affect the internal pressure and by how much? The potential energy of a sphere of radius r carrying a charge e is where a is a constant. 1 r 9. Referring to the condenser problem worked out on p. 230, show that the best vacuum to employ is that at which the rate of increase of the capital charges, per annum, with vacuum equals the rate of decrease of the coal bill, per annum, with vacuum. Work out completely the case when the capital charges and maintenance of condenser plant are put at 10 per cent per annum; the cost of the condensing plant for a 10,000-kw. plant, 25,000 at 26 in. of vacuum; the evaporative power of the boiler plant, 7-5 lb. of steam per pound of coal; the steam consumption per kilowatt hour at 26 in. of vacuum, 13 lb.; the hours worked 4380 per annum; and the cost of coal 1 per ton. 10. The velocity, v, of the cross head of a reciprocating single-cylinder steam-engine is connected with the angular velocity of the crank by the approximate equation, V = mr smtot +---sin2u/l, 2/ where o is the constant angular velocity, r is the crank radius, / the length of the connecting rod, more

Product details

  • Paperback | 74 pages
  • 189 x 246 x 4mm | 150g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236549287
  • 9781236549280