53

a

i

a

ie

ts

\6

st

id

u

ttf

i

st

i'

st

st

•c

v

J6

o'

to

Hydraulics.

s . , , she Glass Tube

H) which rises through Vessel by

immersed in the Water o a t | ie

, s .Uat whenever the

2.9. Hence ’tis easy w observ , - tS j) e scent

Space thro’ which the Piston mu p t0 a Den-

to reduce the internal Air, by C° m P r _ ^ f a y, whenstty or Spring equal to the externa , ’t en <rth os thethis Space happens to be greater + an p mri p° becauseStroke, there can no W ater rife m t a ^ e to makein that Case, the Air will be no a * - b rea s 0 n ofn S Escape .W the Valve of -h- A.

the greater Pressure of the externa j et x he the

30. When this is the Cafe of a Vn p, ^ ^ it .greatest Height to which the ^ ate p C ft , s a the low-whcn the highest Elevation of the Piest b, the Pressure of the Atmosphere b,**& ^ thethe Stroke of the Piston, as betor . . g conta m’d

Piston is down, the Space in w ic ^ ^«,o a—x - i tsis b~x ; and when up, U 15 exp f

r, . b —v 0 f what it was belore,

Pressure is then the -—- Pa

Pressure is then the ^ ra w tcr

As t he Weight of tne Water

that is of the Atmosphere j u £ ,

• * and both together being

being tbe other Part, viz

equal to tbe Atmosphere, we havetherest

V'

1 0

id

■0

st

st

st

5

V

b^x , * = j 1

-- + T ’

a—x » _

"ore bb—b x-\-a x —-Jf*—+^'7'^ ’ J-~-axzz

« b — b h=p b. And changing the S g » x +

— ph- and compleating the Lqn ——--y ^.

\a a ~ la a — ph ; wherefo r e x %a—\/ +

therefore x ■= ± \/ ba a —$}+%•+_ 1 : ts Height

31. Hence if the Stroke of the Pi on greatest

above the Water be given, we k "° d consequently,Height to which the Water can rise, a “ . ] e t

if such a Pump can be effectual. For_

«= 2 8, i=25 ; then #= 3 » an i P H t e tht 3 to , which the±10+14 ; that is, the greatest H«6 other Root,Water can rife—14-^10=4 ?eet ’ ,, x4 e ; 0 ^ts between.

14+10=2.4, is impossible, because a »

4 and 2.4 will he too great. Again,

E 3 '