2. A tank in the shape of an inverted cone has a height of 10 meters and a base radius of 5 meters and is filled with water to a depth of 6 meters. Determine the amount of work needed to pump all of the water to the top of the tank. Assume that the density of the water is 1000 kg/m³ and gravity g10 m/s². Hint: Calculate the work done to lift the small rectangle all he way to the top and convert to an integral to obtain the total work 5 m Similar triangles give Ti %3D %3D 10 The force is given by 10 m 6 m F = [density] · [volume] · [gravity] And the volume is V T (radius)“ - height.

Q: 9) Consider a piece of wood of rectangular shape and dimensions (a=80cm, b= 100cm, c= 30cm) of…

A: 9 question Given: The dimension, a is 80 cm or 0.8 m, b is 100 cm or 1 m and c is 30 cm or 0.3 m.…

Q: A hydraulic lift is used to jack a 960-kg car 41 cm off the floor. The diameter of the output piston…

A: Given data: The input force , F1=360 N The mass of the car m=960 kg The diameter of output piston…

Q: 3. A brick (dimensions = 8 cm x 10 cm x 20 cm) rests on a desk on its smallest side The brick has…

A: dimensions=8 cm×10 cm×20 cm Volume=8×10×20= 1600 cm3 density= d= 9 g/cm3 mass, m= Vd= 14400 g= 14.4…

Q: 2. A tank is being filled with water through section 1 at a velocity of 5 m/sec and through section…

A: GIVEN :diameter D1 =40 mm diameter D2 =60 mm velocity V1 =5m/s rate of flow in section 3= 0.012 m3/s

Q: 10. Water at a pressure of 3.90 atm at street level flows into an office building at a speed of 0.55…

A:

Q: ). Assume that lungs in general are capable of producing a gauge pressure of -0.3 atm. Chris is…

A: This problem can be solved using the formula for hydrostatic pressure of a fluid.

Q: 3. A tank is filled with water to a height H. A hole is punched in one of the walls at a depth h…

A: Given data: Height f the water in the tank = H Height of the hole from the depth = h

Q: Eure (N/m¹?) g of gasoline b

A: Given: Width is 0.541 m Length is 0.834 m Mass of gasoline is 55.7 kg

Q: 7. A large container, 122 cm deep is filled with water. If a small hole is punched in its side 79.0…

A:

Q: 1. A barge can be thought of as a 40.0 m x 10.0 m x 3.00 m rectangular box. 25% of the barge's…

A:

Q: HAI City is about 1500 meters above sea level.  What is the difference in pressure when you are in…

A: Height of the HAI city above sea levelAir Density

Q: 5. Water at a pressure of 4.40 atm at street level flows into an office building at a speed of 0.75…

A: given that,Pi=4.40 atm = 4.46 ×105 Pad1= 3.60 cmvi=0.75 ms∆z=25 md2=2.40 cmlet v2 be the speed of…

Q: submarine cruises at a depth of 200 meters. What is the absolute pressure at this depth? Assume that…

A:

Q: 9. A full grown elephant weighs 50,000 N. Its feet are roughly circles with diameter 40 cm. Assuming…

A:

Q: 1. A storage container is 4.0m wide, 5.0 m long and 2.0m high. The magnitude of its weight is 2.2…

A:

Q: 3. Incompressible oil of density 850 kg/ cubic meter is pumped through a cylindrical pipe at a rate…

A:

Q: 7. A large glass beaker is open to the atmosphere (P, = 101,300 Pa) and filled with water of density…

A: Atmospheric pressure on the top of container: Po = 101,300 Pa Density of fluid: ρ = 1100 kg/m3…

Q: A tank 2.5 m high is initially filled with water. A hole with a diameter of 0.0512 m is punched at…

A: The velocity of flow is  v =2 g h where, h is the height of the water above the hole.

Q: What is the water pressure (in kPa) just under the meniscus in the capillary tube of 0.01 mm if the…

A:

Q: 2. In the figure, a spring constant k = 3.00 × 104 N/m is between a rigid beam and the output piston…

A:

Q: An open tank of large cross-sectional area full of water up to h=2.5 m. If a hole of 1.0 cm diameter…

A:

Q: 11) Consider the U tube shown in the figure. Knowing that liquid 1 is water with density 1000kg/m3…

A: 11) P=ρghP1=P2ρ1gh1=ρ2gh2ρ1h1=ρ2h2-----(1)where, ρ1 is the density of water=1000 kg/m3ρ2 is the…

Q: In a hydraulic press the small cylinder has a diameter of 8.0 cm, while the large piston has a…

A:

Q: 6. A drum 1 meter in diameter and 2 meters in height is filled with water. b. Find the pressure in…

A: Solution:-Given thatDiameter of drum (d)=1 mHeight of drum (h)=2 mdensity of water (ρ)=1000…

Q: figure shows the widening of a pipe in which the largest diameter is 20 cm and the smallest 10 cm,…

A: according to equation of continuity A₁v₁=A₂v₂

Q: 22. A hydraulic system is used to lift a 2000 kg vehicle in an auto garage. If the vehicle sits on a…

A:

Q: 2. A cylindrical tank with a diameter of 225 cm. contains alcohol with a density of 0.791 g/cm. The…

A:

Q: 18. A hydraulic lift is made by sealing an ideal fluid inside a container with an input piston of…

A:

Q: Initially filled with water, a conical reservoir is 24 ft deep and 12 ft across the top. Water goose…

A: from figure tanθ=624=0.25 let say at any instant height of remaining water is h and radius r. now we…

Q: Upper and lower half A cylinder with height 8 m and radius 3 m is filled with water and must be…

A:

Q: When constructing a dam, the bottom of the dam is thicker than the top of the dam. The necessity of…

A: Given: Bottom of dam is thicker

Q: 5. A pressure of 4000 Pa is exerted within a closed container of fluid. On one side it has an area…

A:

Q: 2. A nozzle with an area of 0.3 cm2 is attached to a garden hose with an area of 1.8 cm2. The flow…

A:

Q: 17.Consider the following situations: In an automotive shop, the force exerted on the small piston…

A:

Q: The hydraulic piston at a car shop is filled with oil. A 1300 kg car rests on a 25 cm diameter…

A:

Q: 2. A cylindrical tank with a diameter of 1.5 meters contains a fluid with specific gravity of 9.0.…

A:

Q: Water has density of 1000 kg /m^3.  The volume of an object is  9m^3 .  If the object is completely…

A: Given- Density of water (ρ) = 1000 kg/m3 Volume of object (v) = 9 m3

Q: A horizontal pipe of 10 cm in diameter is connected to a pipe of 5 cm in diameter. Suppose the…

A: The diameter of the large pipe is d1=10 cm=10×10-2 m The pressure in the large pipe is p1=8×104 Pa…

Q: crate with a total mass of 11560kg has dimensions 2.0m by 1.4m across the bottom and is 1.10m tall.…

A: Given:- m=11560 kg Dimensions of crate 2.0m by 1.4m across the bottom and is 1.10m  Find:- a) The…

Q: 6. Water is flowing uphill through a pipe. At point 1, the water has a speed of 3 m/s and an…

A:

Q: d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

A:

Q: A piece of wood is 0.590 m long, 0.270 m wide, and 0.076 m thick. Its density is 700 kg/m³. Part A…

A: Given Dimension of piece of wood = 0.590m x 0.270m x 0.076m density of wood = 700 kg/m3 we have to…

Q: The given figure shows the cross section of a dam and its reservoir. Choose the correct option(s)…

A: Pressure at a depth h is P = P' + dgh P' = atmospheric pressure d = density of the water So,…

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.