\fdO'^ - Old Forge Coal Mines

198 HYDROMECHANICS.
Pressure per square inch exerted by piston = lb.
.19635
Hence, according to Pascal's law, the pressure on the
plunger is ^^ x 78.54 = 40,000 lb. Ans.
(d) Velocity ratio = li : .00375 = 400 : 1. Ans.
{c) According to the principle given in Art. 981, Px
1 — inches = Wx distance moved by plunger, or 100 X
1 5- = 40,000 X required distance; hence, the required dis-
tance = ^^^ ^}}^ = .00375 in. Ans.
40, 000
(495) {a) Use formula 44, and multiply by 7.48 and
60 to reduce the discharge from cu. ft. per sec. to gal. per
min.
^„ = .41 ^/^[/J* - 4/^'] X 60 X 7.48 =
.41 X 12 X 4/64:32 rWo + ^V- 4/9^1 X 60 X 7.48 =
(d)
In the second case,
(2a = .41 X^ X 4^64:32 rW9 + i|y- 4/9^1x60x7. 48 =
13,323 gal.
Ans.
(496) {a) Area of weir = 14 X 20 ^ 144 sq. ft. Use
formula 32, and divide by^O X L^8 to reduce gal. per min.
to cu. ft. per sec.
Q 13,502X144 ,-.«., A
'^m = -^ = TTx s-77; Ti = 777: I0.47 ft. per sec. Ans.
A 60 X 7.48 X 14 X 20 ^
... 13,323X144 ..^„„r. A
(^> ^"= =
60X7.48X14X20 ^^-^^^^P^^^"- ^^•
(497) (a) See Art. 997. .
J^=2 lb. 8|oz. =40.5oz.
w = 12 oz.
W = 1 lb. 11 oz. = 27 oz.