208 LECTURE XX. Paddle-Wheels. - Having briefly described the different forms of engines used for driving paddle-wheels, we now naturally refer to the wheels themselves, leaving a description of the screw propeller until after we have noticed the styles of engines more particularly adapted to driving it. The efficiency of the paddle-wheel falls off when the wheel is too deeply immersed, consequently for long voyages, where the draught of the vessel decreases as it proceeds, due to consumption of coal, &c., if the wheels are to be immersed to the proper depth at the end of the voyage, they must of necessity be too deep at the beginning. This variable immersion of paddle-wheels is the most serious objection to their use for long voyages. Also, in a heavy sea the rolling of the vessel, besides causing the engines to race, induces unequal straining of the machinery, since one wheel lifts out of the water, while the other sinks more deeply in it. Neither of these disadvantages is found in the screw propeller, for the screw is immersed considerably below the surface of the water, and since it is placed in the centre line of the ship, the rolling motion has no effect on it. The heaving of the ship in a fore and aft direction causes racing of the engines, but no unequal straining is set up. For short voyages, however, and where the draught is practically un- changed during the voyage, the paddle-wheel still holds its own with the screw, and for navigation in shallow rivers it is very valuable; the screw, in such a case, being quite unsuited, on account of its nearness to the bottom of the vessel. The vibra- tion set up by the motion of paddle engines also is not so great as that from the fast-running engines necessary for the screw propeller. Radial Paddle-Wheel. - This form of wheel is the simplest, strongest, least expensive, and least liable to derangement, but is also unfortunately the least efficient. It consists of radial arms, which are attached to a cast-iron boss at the centre, and are bound at their outer extremities by one or two wrought-iron rings. Flat boards are fixed rigidly to these radial arms, parallel to the axis of the wheel, and are known as "floats," and it is the thrust or push which these boards or floats exercise upon the water as the wheel rotates, which propels the vessel. The floats of a wheel of this kind, of necessity enter and leave the water in an oblique manner, and are only perpendicular to the surface of the water when they come immediately below the centre of the wheel. Therefore, since the pressure which a float produces is perpendicular to its surface (i.e., perpendicular to the radius of the wheel), it is only when the floats are passing their lowest point, that the whole pressure they exert is utilised