Question 1

A large tank is filled with water to a depth of 15 m.A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing.With what speed will water emerge from the spout?

Accepted Answer

The answer of A large tank is filled with water...

Question 2

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 mS1U1P13S1S1P0.The density of air is 1.3 kg/mS1U1P13S1S1P0.
-What is the magnitude of the initial acceleration of the balloon?

Accepted Answer

The answer of 11-4
A balloon is released from a tall...

Question 3

Complete the following statement: Bernoulli's principle is a statement of

Accepted Answer

Bernoulli's principle is a statement of energy conservation in dynamic fluids, which describes the relationship between the velocity and pressure of a fluid in motion.

Question 4

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

Accepted Answer

Poiseuille's law is used to determine the volume flow rate of a liquid through a narrow tube, such as a hypodermic needle. This law takes into account the viscosity of the liquid, the length and radius of the tube, and the pressure difference across the tube to calculate the flow rate.

Question 5

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m³.The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s.What is the difference in pressure, P_B - P_A, between points B and A?

Accepted Answer

The answer of The density of the liquid flowing through...

Question 6

Which one of the following statements concerning streamline flow is true?

Accepted Answer

Streamline flow, also known as laminar flow, is characterized by fluid particles following smooth paths or streamlines, where each particle moves at a constant velocity at any given point in time. This contrasts with turbulent flow, where the velocity at any point can vary erratically.

Question 7

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s.The water encounters a constriction where its velocity is 15 m/s.What is the diameter of the constricted portion of the pipe?

Accepted Answer

We can apply the principle of continuity of flow, which states that the mass flow rate of a fluid is constant along a pipe. Mathematically, this can be expressed as:

A1v1 = A2v2

where A1 and A2 are the cross-sectional areas of the pipe at points 1 and 2, and v1 and v2 are the velocities of the water at those points.

We can use this equation to solve for the unknown diameter at the constricted portion of the pipe (A2). Let's assume that the pipe diameter at point 1 is 3.0 cm, which gives an area of:

A1 = π(0.015 m)² = 7.07×10^-4 m²

We also know the velocity of the water at point 1 (v1 = 3.0 m/s) and at point 2 (v2 = 15 m/s).

Applying the continuity equation, we get:

A2 = (A1v1) / v2
    = (7.07×10^-4 m² × 3.0 m/s) / 15 m/s
    = 1.4×10^-4 m²

Finally, we can solve for the diameter of the constricted portion of the pipe (d2) using the formula for the area of a circle:

A2 = π(d2/2)²

Solving for d2, we get:

d2 = √[(4A2) / π]
    = √[(4 × 1.4×10^-4 m²) / π]
    = 0.013 m
    = 1.3 cm

Therefore, the diameter of the constricted portion of the pipe is 1.3 cm (or approximately 0.51 inches). The answer is (C).

Question 8

Water is flowing through a rectangular channel that is 12 m wide with a speed of 0.75 m/s.The water then flows into four identical rectangular channels that have a width of 3.0 m.The depth of the water does not change as it flows into the four channels.What is the speed of the water in one of the smaller channels?

Accepted Answer

The answer of Water is flowing through a rectangular channel...

Question 9

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

Accepted Answer

Vertical distances can be measured relative to any point within the fluid, not necessarily the lowest point.

Question 10

Oil ($\rho$ = 925 kg/m³) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m.The cross sectional area of the pipe does not change.What is the difference in pressure (P_B- P_A) in the portions of the pipe before and after the rise?

Accepted Answer

The answer of Oil ($\rho$ = 925 kg/m³) is flowing...

Question 11

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe.When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section).If a 4.0-N force is applied to the plunger and the diameters of the plunger and the needle are 1.2 cm and 2.5 mm, respectively, what force is needed to prevent fluid flow at the needle?

Accepted Answer

The answer of A hypodermic needle consists of a plunger...

Question 12

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s.It then enters a smaller pipe of diameter 3.0 cm.What is the speed of the water as it flows through the smaller pipe?

Accepted Answer

The answer of Water flows through a pipe of diameter...

Question 13

Which one of the following statements concerning fluid streamlines is true?

Accepted Answer

Streamlines in a steady flow represent the path that fluid elements follow, and by definition, these paths do not change over time. This means the pattern of streamlines remains constant, indicating the flow's direction and speed at every point. Options A, B, C, and D are incorrect because streamlines in steady flow do not have to remain parallel and equally spaced, they cannot cross in turbulent flow, they do not begin or end at arbitrary points in turbulent flow, and they are always tangent to the velocity vector of the fluid, not perpendicular.

Question 14

Selena uses a garden hose to fill a bucket of water.The water enters the hose through a faucet with a 6.0-cm diameter.The speed of the water at the faucet is 5 m/s.If the faucet and the nozzle are at the same height, and the water leaves the nozzle with a speed of 20 m/s, what is the diameter of the nozzle?

Accepted Answer

We can use the equation of continuity, which states that the mass flow rate of a fluid is constant in a closed system:
$ho A_1 v_1 = ho A_2 v_2$
where $ho$ is the density of water, $A_1$ and $v_1$ are the cross-sectional area and velocity of the water at the faucet (6.0-cm diameter), and $A_2$ and $v_2$ are the cross-sectional area and velocity of the water at the nozzle (unknown diameter).

We can solve for $A_2$ by rearranging the equation:
$A_2 = A_1 \frac{v_1}{v_2}$

Substituting in the given values:
$A_2 = \pi(3.0	extrm{ cm})^2 \frac{5 	extrm{ m/s}}{20 	extrm{ m/s}} = \pi (\frac{3}{2} 	extrm{ cm})^2 \approx 7.07 	extrm{ cm}^2$

Solving for the diameter of the nozzle:
$A_2 = \pi (\frac{d}{2})^2$
$d = \sqrt{\frac{4 A_2}{\pi}} = \sqrt{\frac{4 	imes 7.07}{\pi}} \approx 2.99 	extrm{ cm}$

Therefore, the diameter of the nozzle is approximately 3.0 cm, which is option C.

Question 15

11-5
A glass tube has several different cross-sectional areas with the values indicated in the figure.A piston at the left end of the tube exerts pressure so that mercury within the tube flows from the right end with a speed of 8.0 m/s.Three points within the tube are labeled A, B, and C.  Notes: The drawing is not drawn to scale.
Atmospheric pressure is 1.01 × 10S1U1P15S1S1P0 N/mS1U1P12S1S1P0; and the density of mercury is 13 600 kg/mS1U1P13S1S1P0.
-At what speed is mercury flowing past the point labeled A?

Accepted Answer

Using the equation of continuity: 
A1v1 = A2v2 
We can find the speed at point A using the cross-sectional areas at points A and C: 
A1 = (0.10 m)²π/4 = 0.00785 m² 
A2 = (0.20 m)²π/4 = 0.0314 m² 
v2 = 8.0 m/s

Plugging in the values: 
0.00785m²v1 = 0.0314m²(8.0m/s) 
v1 = 4.0 m/s

Therefore, the answer is B) 4.0 m/s.

Question 16

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure.At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

Accepted Answer

The answer of A horizontal piping system that delivers a...

Question 17

A large vat is continually filled with a viscous liquid that flows from two equally long, cylindrical pipes, labeled A and B, onto a conveyer belt as shown in the drawing.The diameter of pipe B is 1.75 times larger than that of pipe A.What is the ratio of the average volume flow rate of the liquid exiting pipe B to that of the liquid exiting pipe A?

Accepted Answer

The answer of A large vat is continually filled with...

Question 18

The figure shows two fish tanks, each having ends of width 1 foot.Tank A is 3 feet long while tank B is 6 feet long.Both tanks are filled with 1 foot of water.   Using the notation given above, which one of the following sets of equations below is correct for this situation?

Accepted Answer

The answer of The figure shows two fish tanks, each...

Question 19

A curtain hangs straight down in front of an open window.A sudden gust of wind blows past the window; and the curtain is pulled out of the window.Which law, principle, or equation can be used to explain this movement of the curtain?

Accepted Answer

Bernoulli's equation can be used to explain the movement of the curtain because it relates the pressure of a fluid to its speed. The sudden gust of wind causes an increase in the speed of the air outside the window, which decreases the pressure outside relative to the pressure inside. This pressure difference results in the curtain being pulled out of the window.

Question 20

Elaine went to her outside faucet to fill a 0.0189-m³ bucket with water to wash her car.Water exits with a speed of 0.61 m/s.The radius of the faucet is 0.0078 m.How long does it take to fill the bucket completely?

Accepted Answer

The answer of Elaine went to her outside faucet to...

Quiz 11: Fluids

A large tank is filled with water to a depth of 15 m.A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing.With what speed will water emerge from the spout?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -What is the magnitude of the initial acceleration of the balloon?

Complete the following statement: Bernoulli's principle is a statement of

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m³.The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s.What is the difference in pressure, P_B - P_A, between points B and A?

Which one of the following statements concerning streamline flow is true?

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s.The water encounters a constriction where its velocity is 15 m/s.What is the diameter of the constricted portion of the pipe?

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s.It then enters a smaller pipe of diameter 3.0 cm.What is the speed of the water as it flows through the smaller pipe?

Which one of the following statements concerning fluid streamlines is true?

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure.At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

The figure shows two fish tanks, each having ends of width 1 foot.Tank A is 3 feet long while tank B is 6 feet long.Both tanks are filled with 1 foot of water. Using the notation given above, which one of the following sets of equations below is correct for this situation?

A curtain hangs straight down in front of an open window.A sudden gust of wind blows past the window; and the curtain is pulled out of the window.Which law, principle, or equation can be used to explain this movement of the curtain?

Elaine went to her outside faucet to fill a 0.0189-m³ bucket with water to wash her car.Water exits with a speed of 0.61 m/s.The radius of the faucet is 0.0078 m.How long does it take to fill the bucket completely?

Quiz 11: Fluids

A large tank is filled with water to a depth of 15 m.A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing.With what speed will water emerge from the spout?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m3.The density of air is 1.3 kg/m3. -What is the magnitude of the initial acceleration of the balloon?

Complete the following statement: Bernoulli's principle is a statement of

Which law, principle, or equation can be used to determine the volume flow rate of a liquid that is forced through a hypodermic needle?

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m3.The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s.What is the difference in pressure, PB - PA, between points B and A?

Which one of the following statements concerning streamline flow is true?

Water enters a pipe of diameter 3.0 cm with a velocity of 3.0 m/s.The water encounters a constriction where its velocity is 15 m/s.What is the diameter of the constricted portion of the pipe?

Which one of the following statements is false concerning the derivation or usage of Bernoulli's equation?

Oil ( ρ\rhoρ = 925 kg/m3) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m.The cross sectional area of the pipe does not change.What is the difference in pressure (PB - PA) in the portions of the pipe before and after the rise?

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s.It then enters a smaller pipe of diameter 3.0 cm.What is the speed of the water as it flows through the smaller pipe?

Which one of the following statements concerning fluid streamlines is true?

A horizontal piping system that delivers a constant flow of water is constructed from pipes with different diameters as shown in the figure.At which of the labeled points is the water in the pipe under the greatest pressure? The drawing is a view from above the pipe.

The figure shows two fish tanks, each having ends of width 1 foot.Tank A is 3 feet long while tank B is 6 feet long.Both tanks are filled with 1 foot of water. Using the notation given above, which one of the following sets of equations below is correct for this situation?

A curtain hangs straight down in front of an open window.A sudden gust of wind blows past the window; and the curtain is pulled out of the window.Which law, principle, or equation can be used to explain this movement of the curtain?

Elaine went to her outside faucet to fill a 0.0189-m3 bucket with water to wash her car.Water exits with a speed of 0.61 m/s.The radius of the faucet is 0.0078 m.How long does it take to fill the bucket completely?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -What is the magnitude of the initial acceleration of the balloon?

The density of the liquid flowing through the horizontal pipe in the drawing is 1200 kg/m³.The speed of the fluid at point A is 7.5 m/s while at point B it is 11 m/s.What is the difference in pressure, P_B - P_A, between points B and A?

Elaine went to her outside faucet to fill a 0.0189-m³ bucket with water to wash her car.Water exits with a speed of 0.61 m/s.The radius of the faucet is 0.0078 m.How long does it take to fill the bucket completely?