The Steam Engine Its Invention And Progressive Improvement An Investigation of
The Steam Engine Its Invention And Progressive Improvement An Investigation of
Thomas Tredgold
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To determine their power, let V be the velocity of the exterior portion of the wheel, and r its radius ; then the velocity at any distance r x from the centre is ( r ~ x > . B u t while the paddle acts on the water, the vessel moves forward, and the water recedes only at the rate of the difference between the velocity of the wheel and that of the vessel ; therefore, if v be the velocity of the boat, P^ v = the velocity with which the paddle strikes the water. Hence, as the quantity of water so ...struck and put in motion is nearly proportionate to the velocity of the vessel, we have, 1-5 v - = the resistance to one square foot of the paddle ; and, making b = the breadth of the paddle, powel, The integral is 1-5 v 2 * (V r x | V ** r v a) . . . - _ -- -, r and when the depth of the paddle is h, it is 1-5 b hv* / (r 4A) V-rvj, . _ \ v 2 ' __ / = the direct power, r which must be equal to the resistance of the vessel. The loss by oblique action has to be estimated before the power of the engine can be found, but previously we may proceed to determine the best velocity for the wheels in still water.
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