(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of density p flows at speed vo through the pipe. If the pressure in the narrower section is Po, find an expression for the pressure pl in the wider section.

(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of density p flows at speed vo through the pipe. If the pressure in the narrower section is Po, find an expression for the pressure pl in the wider section.

Related questions

Q: The water pipe show below reduces from an 8.00cm diameter to a 6.000cm diameter. The pressure in the…

Q: The piping system in a dairy must deliver 1.8 L/min of 20∘C milk through a 12-mm-long,…

A: Given data: Volume/time, Vt=1.8 L 1 min=1.8×10-3 m360 s=3×10-5 m3/s Temperature of milk, T=200C…

Q: A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on…

A: Radius of right circular cylinder R=2 feetRadius of the hole =34 inch=0.75 inch=0.0625 ftHeight of…

Q: The pressure (P) at any depth in a liquid that is open to the air, can be calculated by p= density…

A: Gauge pressure is the pressure relative to atmospheric pressure; it is positive for pressures above…

Q: A U-shaped tube is closed at one end p, the other end is open to the atmosphere. There 12. is a…

A: Answer: 125791 dyn/cm^2

Q: In an industrial cooling process, water is circulated through a system. If water is pumped with a…

A: Bernoulli's principle states that the total energy of a fluid in motion, that consists of…

Q: (a) A large, open at the top, upright cylindrical tank contains fresh water with a density of 1.00 x…

A: Given data ρ=1000 kg/m3h=27 m Here, ρ is the density and h is the depth. Now we have to find out the…

Q: When a fluid in a pipe encounters narrowing it. slows down and the internal pressure decreases.…

A: From Bernoulli's theorem when a fluid in a pipe encounters narrowing it than the velocity increases…

Q: Snorkeling by humans and elephants. When a person snorkels, the lungs are connected directly to the…

A: density of water= 997 kg/m3 g= 9.8 m/s2

Q: 15/ 1 2 3 4 5 The vessels in the figure contain liquids of the same density. The vessel that has the…

A: In liquid pressure is directly proportional to height.

Q: Calculate the Reynolds numbers for the flow of water through a nozzle with a radius of 0.300 cm and…

Q: B) What is the area of contact each tire makes with the road

A: Given data: m=1430 kgp=31 lb/in2 Need to determine the area of contact each tire makes with the road…

Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 28.2 m. Assume…

Q: After a party the host pours the remnants of several bottles of wine into a jug. He then inserts a…

Q: Air is flowing steadily around a. sphere, with a speed of 10 m/s. The flow separates at point 1, and…

A: Speed of free stream is u = 10 m/s Velocity at point B is v = 15 m/s Density of sphere is p = 1…

Q: A hollow sphere of inner radius 8.00 cm and an outer radius 9.00 cm floats half submerged in a…

A: Given value--- inner radius = 8 cm. outer radius = 9cm. density of liquid = 800 kg/m3 . We have to…

Q: How much should the pressure on a litre of water be changed to compress it by 0.20%?

A: Given:A litre of water is compressed by 0.20%

Q: A sump pump (used to drain water from the basement of houses buit below the water table) is draining…

Q: Q1(a) Consider the pressure and force acting on the dam retaining a reservoir of water (Figure…

A: (a) Mercury and water are liquid at room temperature and atmospheric pressure. Air is a gas at room…

Q: z> Find the difCerence (P.-P) for the below in pressure pipe System : IS em

Q: You inflate the tires of your car to a gauge pressure of 39.0 lb/in2. If your car has a mass of 1125…

A: in this question we use pressure simple equation.

Q: The weight of your 1450 kg car is supported equally by its four tires, each inflated to a gauge…

A: Mass of the vehicle is The vehicle is supported by 4 tires.The gauge pressure on each tire is…

Q: #12-21. A pipe carries water at a flow rate of 25 gpm. Determine the minimum inside diameter so that…

Q: You inflate the tires of your car to a gauge pressuresf 44.0 Ib/in?. If your car has a mass of 1400…

Q: Water is flowing in the pipe shown in the figure below, with the 8.20-cm diameter at point 1…

Question

(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of
density p flows at speed vo through the pipe. If the pressure in the narrower section is Po,
find an expression for the pressure pl in the wider section.
(2) A pressure gauge reads 50 kPa as water flows at 10.0 m/s through a 16.8 cm-diameter hori-
zontal pipe. What is the reading of a pressure gauge after the pipe has expanded to 20.0 cm
in diameter?

Expert Solution

Step 1: Concepts

Note: As you have provided two separate questions, we will answer only the first question according to our Q&A guidelines. For the second part, post it separately.

When some liquid flows through a cylindrical horizontal pipe, at any point, it's velocity v is related to the cross-section A as follows.

$v_{i} A_{i} = c o n s t a n t$

Also we need to know about Bernoulli's equation for conservation of energy density of laminar flow of a liquid. According to it, a laminar flow of liquid follows

$\frac{1}{2} ρ v_{i}^{2} + h_{i} ρ g + P_{i} = c o n s t a n t$

where $ρ$ is the density of the liquid, $v_{i}$ is the velocity at some point along the flow, $h_{i}$ is the height and $P_{i}$ is the pressure at the point of observation.

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

To what height should a cylindrical vessel be filled with a homogenous liquid to make the force with which the liquid presses on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel?
A uniform cross-sectional area U-tube is open to the atmosphere, is partially filled with mercury (density = 1.36 x104 g/cm3 ). Water is then poured into both arms. If the equilibrium configuration of the tube is as shown in Figure, with h2 = 1.00 cm, determine the value of h1.
By inhaling, a person can create a relative pressure of -60 mm Hg. How high can this person push water up through a straw?
Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.
Calculate the Reynolds numbers for the flow of water through a nozzle with a radius of 0.270 cm and a garden hose with a radius of 0.940 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.485 L/s. (Assume the temperature of the water is 20°C.) (a) a nozzle with a radius of 0.270 cm Can the flow possibly be laminar? Yes No (b) a garden hose with a radius of 0.940 cm Can the flow possibly be laminar? Yes No
If you were to break the 64 mm capillary in half and repeat the flow rate measurement with water, how would your measured values change?
the water faucent for a garden hose is tuned on, but with the nozzle turned off the owner of the garden assumes that the water cannot exit the hose. however , even through the hose lies horizonatlly on the ground, the owner notice a stream of water spraying vertically out a small leak in the hose. to a height of 0.75 m. what must be the pressure of the water inside the hose 1) 7.9 kpa 2) 8.8 kpa 3) 7.4 kpa 4) 101.3 pka