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\fdO'^ - Old Forge Coal Mines

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PNEUMATICS. 203<br />

Therefore, 7"== —————- = 439.35°. Since this is less<br />

I.411I00<br />

than 460°, the temperature is 460 — 439.35 = 20.65° below<br />

zero, or — 20.65°. Ans.<br />

(516) A hollow space from which all air or other gas<br />

(or gaseous vapor) has been removed. An example would<br />

be the space above the mercury in a barometer.<br />

(517) One inch of mercury corresponds to a pressure of<br />

.49 lb. per sq. in.<br />

1 . .49<br />

-— inch of mercury corresponds to a pressure of '——<br />

lb. per<br />

40 40<br />

sq.<br />

49<br />

in. '-— X 144 = 1.764 lb.<br />

40<br />

per sq. ft. Ans.<br />

(518) (a) 325 X .14= 45.5 lb. = force necessary to<br />

overcome the friction. 6 X 12 = 72" = length of cylinder.<br />

72 — 40 = 32 = distance which the piston must move. Since<br />

the area of the cylinder remains the same, any variation in<br />

the volume will be proportional to the variation in the<br />

length between the head and piston. By formula 53,<br />

rru c ^ A^, 14.7X40 _,2 ,,<br />

pv=pv^. Therefore, / =:'^-^—^= — = 8.1- lb. per<br />

sq. in. = pressure when piston is at the end of the cylinder.<br />

Since there is the atmospheric pressure of 14. 7 lb. on one<br />

2<br />

side of the piston and only 8.1 -lb. on the other side, the<br />

o<br />

2<br />

force required to pull it out of the cylinder is 14.7 — 8.1- =<br />

O<br />

6.5- lb. per sq. in. Area of piston = 40' X .7854 = 1,256.64<br />

o<br />

sq. in. Total force = 1,256.64 x 6.5^- = 8,210.05. Adding<br />

o<br />

the friction, 8,210.05 + 45.5 = 8,255.55 lb. Ans.<br />

{Jti) Proceeding likewise in the second case, pv =. p^ z/„ or<br />

/ ='^J-^ = i^t^iA^ ^ ^g ^^ ,^g - 14.7 = 83.3 lb. per sq. in.<br />

1,266.64 X 83.3 -f 45.5 = 104,723.612 lb. Ans.

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