Rope Driving a Treatise On the Transmission of Power By Means of Fibrous Ropes

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If the arc of contact on smaller pulley, the coefficient of friction between rope and sheave, and the total tension in the rope be known, the tension on slack side of the pulley, and hence the horse-power transmitted, can be readily determined from the following considerations:* Assuming, as before, that the driving force P is equal to the difference in tension 2\ on the driving side of the rope and T y on the driven side, and noting that the driv- ing force must equal the friction F between th...e surfaces, we obtain T l - T^ = P = F. The friction F depends upon the arc of contact a between the rope and its sheave, the coefficient of friction 0, and upon the centrifugal force F set up in the rope, due to its velocity and weight; it is, however, independent of the diameter of pulley. To determine the values of F 9 T lf and T y it will be necessary to assume a given tension in the rope; . Also its speed and weight, coefficient of friction, and arc of contact. Let/ = friction between element of rope and pulley; g = acceleration due to gravity = 32.

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