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\fdO'^ - Old Forge Coal Mines

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188 HYDROMECHANICS.<br />

(457) (a) Area of piston = Q\ X .7854 = .6013 sq. in.<br />

Pressure per square inch exerted by piston = .6013<br />

83.15 1b.<br />

A column of water 1 foot high and of 1 sq. in. cross-<br />

section weighs .434 pound, and therefore exerts a pressure of<br />

.434 lb. per sq. in. The height of a column of water to exert<br />

a pressure of 83.15 lb. per sq. in.<br />

83 15<br />

must be<br />

^ = 191.6 ft.<br />

the water will rise 191.6 ft. Ans.<br />

Consequently,<br />

The diameter of the hole in the squirt gun has nothing to<br />

do with the height of the water, since the pressure per<br />

square inch will remain the same, no matter what the<br />

diameter may be.<br />

{d) Using formula 34, range = ^4: Ay, we have<br />

/Tky = 4/4 X 10 X 191.6 = 87. 54 ft. Ans.<br />

(458)<br />

(d)<br />

Use formulas 44 and 43.<br />

Q^= All;i/2i[i/ T' - /!;] =<br />

.4lx|x/^^r3^[|/^-/(4y]^<br />

62.21 cu. ft. per sec. Ans.<br />

(a) Area of weir = dd= 2.5 X 2 = 5 sq. ft.<br />

Using formula 43,<br />

v^ = yj = —^ — = 10.44 ft. per sec. Ans.<br />

[c) To obtain the discharge in gallons per hour (d) multi-<br />

ply by 60 X 60 (seconds in an hour) and by 7.48 (gallons in<br />

a cu.<br />

ft.). Thus 52.21 X 60 X 60 X 7.48 = 1,405,910.9 gal.<br />

hour. Ans.<br />

per<br />

(459) First find the coefficient of friction by using<br />

formula 46, and the table of coefficients of friction.<br />

.„ = a.3U->/^ = 2.315l/IJ|J|I = 3.191 ft. per sec.<br />

50

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