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This document contains 12 exercises about fluid statics and manometers. The exercises involve calculating manometer readings, pressure differences, and angles of inclined tubes using principles of fluid statics, given densities of various fluids and dimensional measurements of tanks, tubes, and manometers. The exercises provide practice in applying concepts of fluid pressure, buoyancy, and equilibrium conditions for fluids of varying densities in static systems.

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281 views3 pages

List2 Tasks

This document contains 12 exercises about fluid statics and manometers. The exercises involve calculating manometer readings, pressure differences, and angles of inclined tubes using principles of fluid statics, given densities of various fluids and dimensional measurements of tanks, tubes, and manometers. The exercises provide practice in applying concepts of fluid pressure, buoyancy, and equilibrium conditions for fluids of varying densities in static systems.

Uploaded by

erney03
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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FLUID STATICS. MANOMETERS.

Ex. 1. A tank is constructed of a


series of cylinders as shown in a fi-
gure. The tank contains: oil ρo =
915 kg/m3 , water ρw = 1000 kg/m3 ,
glycerin ρg = 1300 kg/m3 , mercury
ρm = 13600 kg/m3 . A mercury ma-
nometer is attached to the bottom of
the tank. Calculate the manometer re-
ading hm . (Ans. hm = 3.3 cm)

Ex. 2. A mercury manometer is used to


measure the pressure difference in the
two pipelines as shown in a figure. Fuel
(ρf = 850 kg/m3 ) is flowing in A and
oil (ρo = 915 kg/m3 ) is flowing in B.
An air pocket has become entrapped
in the oil as indicated. Determine the
pressure in pipe B if the pressure in A
is 105.5 kPa. (Ans. pB = 124.9 kP a)

Ex. 3. Determine the angle θ of the in-


clined tube shown in figure if the pres-
sure at A is 7 kPa greater than that at
B. (Ans. θ = 23.86◦ )

Ex. 4. Determine the pressure at point


A. (Ans. pA = 385.8 kP a)

Fluid mechanics. List of exercises no. 2 1


Ex. 5. A weight lies on a piston with a
radius r2 = 1.0 m. Determine the for-
ce F1 applied to the piston with radius
r1 = 20 cm if the hydraulic jack is in
a balance. The jack is filled by an oil
with ρo = 850 kg/m3 . A mass of we-
ight is mw = 1000 kg. Neglect the mass
of the pistons. (Ans. F1 = 392.4 N )

Ex. 6. An inverted U-tube manome-


ter is used to measure the difference
of water pressure between two points
in a pipe. Find the difference of pres-
sure between point B and A if the
density of water is ρ = 103 kg/m3 ,
h1 = 60 cm, h = 45 cm, h2 = 180 cm.
(Ans. pBA = 16.2 kP a)

Ex. 7. In figure, fluid A is water and


fluid B is mercury. What will be the
difference in level h1 if the pressure at
X is 140 kN/m2 and h2 = 1.5 m.
(Ans. h1 = 40 cm)

Ex. 8. Calculate a manometer reading


h if density of oil ρo = 800 kg/m3 , den-
sity of water ρw = 1000 kg/m3 and
density of mercury ρm = 13600 kg/m3 ,
h1 = 8m h2 = 4 m, h3 = 2 m.
(Ans. h = 0.45 m)

Fluid mechanics. List of exercises no. 2 2


Ex. 9. Calculate a formula for mano-
meter reading h2 for a situation shows
at figure. As a known values we have:
h3 , h, ρ1 , ρ2 , ρw .
(Ans. h2 = (hρw − h3 ρ1 )/ρ2 )

Ex. 10. A mercury manometer is con-


nected to open tank of fuel. Calculate
a change of manometer reading h if a
level of fuel increases about ∆ H.
(Ans. ∆h = ∆H ρf /(2ρm − ρf ))

Ex. 11. In well-type manometer (with


constant zero level) there is neglected
a change of fluid level in w big vessel
(diameter D). Calculate a ratio d/D
for which an error connected with a
change of fluid level ∆H is less than
1%. (Ans. d/D 6 0.1)

Ex. 12. A mercury manometer con-


nects two oil pipelines. Calculate a
pressure difference between points A
and B if H = 2 m, ∆ h = 0.2 m,
ρo = 800 kg/m3 , ρm = 13600 kg/m3 .
(Ans. pAB = 9.418 kP a)

Fluid mechanics. List of exercises no. 2 3

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