Applied Mechanics

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, because they are necessary for the proper understanding of our own division of the subject.
177. Velocity Ratio. In any machinery the velocity of a point may be calculated when the velocity of any other point is known. The number of revolutions per minute made by a shaft tells us the velocity of any point on any wheel or pulley fixed on the shaft ; the circumference of the circle described by such a point, multiplied by the number of revolutions per minute, is evidently the distance moved thr
...ough by the point in one minute. Now, when one shaft drives another by means of spur or bevil wheels, or by two pulleys and a strap, it is evident that the number of revolutions per minute made by one of the shafts, multiplied by the number of teeth of the wheel, or by the circumference or diameter of the wheel or pulley, is equal to the number of revolutions per minute made by the other shaft, multiplied by the number of teeth, or by the cir- cumference or diameter of the other wheel or pulley.

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