Question

Water is flowing in a straight horizontal pipe of variable cross section. Where the cross-sectional area of the pipe is 2.90·10-2 m2, the pressure is 10.90·105 Pa and the velocity is 0.310 m/s. In a constricted region where the area is 10.30·10-4 m2, what is the velocity? (in m/s)

A: 1.97 B: 2.86 C: 4.15 D: 6.02 E: 8.73 F: 1.27×101 G: 1.84×101 H: 2.66×101 Tries 0/12

What is the pressure (in Pa)? (Assume an ideal fluid)

A: 8.24×105 B: 9.31×105 C: 1.05×106 D: 1.19×106 E: 1.34×106 F: 1.52×106 G: 1.72×106 H: 1.94×106

Answer #1

Density of water =
= 1000 kg/m^{3}

Cross-sectional area of the pipe at the first point =
A_{1} = 2.9 x 10^{-2} m^{2}

Pressure of the water at the first point = P_{1} = 10.9
x 10^{5} Pa

Velocity of flow of water at the first point = V_{1} =
0.31 m/s

Cross-sectional area of the pipe at the second point =
A_{2} = 10.3 x 10^{-4} m^{2}

Pressure of the water at the second point = P_{2}

Velocity of flow of water at the second point =
V_{2}

By Continuity Equation,

V_{2} = 8.73 m/s

The pipe is horizontal therefore the first and second points are at same height.

By Bernoulli's equation,

P_{2} = 1.05 x 10^{6} Pa

**a) Velocity of the water in the constricted region =
8.73 m/s**

**b) Pressure of the water in the constricted region =
1.05 x 10 ^{6} Pa**

9) If the pressure in a pipe with a
cross sectional area of 2.0 m2 is 150,000 Pa and the
velocity of the fluid is 5.0 m/sec, what will be the pressure in
the pipe at another point that is 4.0 m higher and has a cross
sectional area of 6.0 m2 ?

Water is flowing at 5.00 m/s in a pipe where the cross section
is 4.00 cm2 and the pressure is 1.5 x 105 Pa. If the area gradually
becomes 8.00 cm2 at a point 10.0 m below the first point, find the
pressure at the second point.

Water flows through a horizontal pipe with a cross-sectional
area of 8 m2 at a speed of 12 m/s with a pressure of
200,000 Pascals at point A. At point B, the cross-sectional area is
6 m2
(7.5 points) Calculate the pressure at point B

Water is moving with a speed of 4.6 m/s through a pipe with a
cross-sectional area of 3.5 cm2. The water gradually descends 8 m
as the pipe increases in area to 8.3 cm2.
(a) What is the speed at the lower level? m/s
(b) If the pressure at the upper level is 1.7 ✕ 105 Pa, what is
the pressure at the lower level? Pa
please show work and answer

Water is moving with a speed of 5.2 m/s through a pipe with a
cross-sectional area of 4.2 cm2. The water gradually
descends 11 m as the pipe increases to 9.0 cm2.
(a) What is the speed at the lower level?
(b) If the pressure at the upper level is 1.9 ×
105 Pa, what is the pressure at the lower level?

Water is moving with a speed of 5.5 m/s through a pipe with a
cross-sectional area of 4.6 cm2. The water gradually descends 11 m
as the pipe increases to 9.0 cm2. (a) What is the speed at the
lower level? (b) If the pressure at the upper level is 1.7 × 105
Pa, what is the pressure at the lower level?

A pipe has a cross sectional area of 10 cm2 with an
unknown fluid, density of 1150 kg/m3 moving at a speed
of 3 m/s and has a pressure of 1.4 atm. The pipe then lowers down
2.5 meters and narrows to a cross sectional area of 2.5
cm2. What is the speed of the fluid? 1 atm = 1.01 x
105 Pa.
express your answer with the correct units
Determine the pressure in atm of the fluid in the...

A liquid of density 860 kg/m3 flows through a
horizontal pipe that has a cross-sectional area of 1.40 x
10-2 m2 in region A and a
cross-sectional area of 9.40 x 10-2 m2 in
region B. The pressure difference between the two regions
is 6.10 x 103 Pa. What are (a) the
volume flow rate and (b) the mass flow rate?
p.s. please box the final answers.

A liquid (ρ = 1.65 g/cm3) flows through a horizontal pipe of
varying cross section as in the figure below. In the first section,
the cross-sectional area is 10.0 cm2, the flow speed is 246 cm/s,
and the pressure is 1.20 105 Pa. In the second section, the
cross-sectional area is 4.50 cm2. (a) Calculate the smaller
section's flow speed. m/s (b) Calculate the smaller section's
pressure. Pa

1. Water moves through a pipe with a cross-section area of 4.20
m^2 at speed of 2.25m/s with pressure P1 of 1.65x 10^5 Pa. If the
cross section area at p2 is 1.80m^2 and the water has traveled up a
distance of y=3.30 m, what is the pressure P2?
2. A 2.50 cm diameter piston pushes on an incompressible liquid
with force F1. An object with a mass of 1.80x10^3kg sets on the
second piston with a diameter of 3.20m....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 23 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 4 hours ago

asked 4 hours ago