The Principles of Mechanical Philosophy Applied to Industrial Mechanics: Forming a Sequel to the Author's "exercises On Mechanics And Natural Philosophy."
The Principles of Mechanical Philosophy Applied to Industrial Mechanics: Forming a Sequel to the Author's "exercises On Mechanics And Natural Philosophy."
Thomas Tate
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L=the resistance of friction, &c., arising from the useful load;/2=*^e resistance of friction, &c., arising from the motion of the unloaded machine, so that, since fi and /g proceed from the action of the same causes, when fx vanishes /2 a^so vanishes; then, -or,p=(l+/0L+/2..-(l), This formula is especially applicable to the steam engine. See the Author's " Exercises in Mechanics," &c., page 41. Now, let 8= the space moved over by p j Q=the actual pressure or weight of the useful load moving ov...er the space s ; /=- . the s velocity ratio of p to Q ; then, we have, L • S=Q . Sy /. L= - . Q=r . Q, D substituting this in eq. (1), we get, p=(i+/iyQ+/2 . • • (2). Again, multiplying each side of eq. (1) by s, we get, p.s=(1+/i)l.s+/2.s, but p . s=u, the work of the moving pressure ; l . s=Ui, the work done upon load or the useful work of the machine ; .-. U=(l+/i)Ui+/2 . 8 . • . (3), which is the general equation for the work of an engine when the moving pressure and the resistances are in equilibrium.
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