Question 1

A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.0-cm diameter narrows to 1.0-cm diameter, what is the pressure drop in the constricted section for airflow of 4.0 m/s in the 2-cm section? (Assume air density is 1.25 kg/m³.)

Accepted Answer

The answer of A Venturi tube may be used as...

Question 2

An ideal fluid flows through a pipe made of two sections with diameters of 1.0 and 2.0 inches, respectively. The speed of the fluid flow through the 2.0-inch section will be what factor times that through the 1.0-inch section?

Accepted Answer

The answer of An ideal fluid flows through a pipe...

Question 3

Water (density = 1 *10³ kg/m³) flows at 16 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?

Accepted Answer

The answer of Water (density = 1 *10³ kg/m³) flows...

Question 4

A jet of water flowing from a hose at 15 m/s is directed against a wall. If the mass flow in the fluid stream is 4.3 kg/s, what force is the water applying to the wall if backsplash is negligible?

Accepted Answer

The force can be calculated using the equation F=mv, where F is the force, m is the mass flow rate, and v is the velocity of the jet. 
F = 4.3 kg/s x 15 m/s = 64.5 N 
Due to the reaction force, the force applied by the water on the wall will be equal and opposite to the force applied by the wall on the water. Thus, the correct answer is 65 N.

Question 5

Water (density = 1*10³ kg/m³) flows at 10 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor?

Accepted Answer

Bernoulli's equation: P + 1/2ρv^2 + ρgh = constant. Since the pressure remains unchanged, we have: 1/2ρv^2 + ρgh = constant. Thus, v^2 + 2gh = constant. Since the velocity is inversely proportional to the cross-sectional area, we have: A1v1^2 = A2v2^2. Thus, A1/A2 = v2^2/v1^2 = (h1/h2)^2. Since h1 = 0 and h2 = 2.0 m, we have: A1/A2 = (0/2.0)^2 = 0. Thus, A2 = A1. Since the area is proportional to the square of the radius, we have: r2^2 = r1^2. Thus, r2 = r1 = 0.040 m.

Question 6

How much air must be pushed downward at 60.0 m/s to keep an 800-kg helicopter aloft?

Accepted Answer

The answer of How much air must be pushed downward...

Question 7

A fountain sends water to a height of 50 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 10⁵ N/m²)

Accepted Answer

The answer of A fountain sends water to a height...

Question 8

An ideal fluid, of density 0.90 *10³ kg/m³, flows at 12 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 *10⁵ N/m². This pipe connects to a second level pipe with a radius of 1.5 cm. Find the speed of flow in the second pipe.

Accepted Answer

The answer of An ideal fluid, of density 0.90 *10³...

Question 9

A block of wood is floating in water. If the temperature of the water increases, what happens to the fraction of the block above water?

Accepted Answer

The answer of A block of wood is floating in...

Question 10

Water pressurized to 4 * 10⁵ Pa is flowing at 5.0 m/s in a pipe which contracts to 1/3 of its former area. What are the pressure and speed of the water after the contraction? (density of water = 1 * 10³ kg/m³)

Accepted Answer

Using the principle of conservation of mass and Bernoulli's equation, the speed increases to 15 m/s and the pressure decreases to 3 x 10^5 Pa after the contraction.

Question 11

The flow rate of blood through the average human aorta, of radius 0.95 cm, is about 90 cm³/s. What is the speed of the blood flow through the aorta?

Accepted Answer

The answer of The flow rate of blood through the...

Question 12

A Boeing-737 airliner has a mass of 30,000 kg. The total area of the wings is 100 m². What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

Accepted Answer

To keep the airplane up, the pressure difference between the top and bottom of the wings must be equal to the weight of the airplane divided by the total area of the wings. Therefore, the pressure difference is (30,000 kg x 9.8 m/s^2) / 100 m^2 = 2,940 Pa. So, the correct choice is B.

Question 13

When an artery gets a constricted region due to plaque, how does the pressure in this region compare to the pressure in an unconstricted region adjacent?

Accepted Answer

According to Bernoulli's principle, when the velocity of a fluid increases, its pressure decreases. In the constricted region of an artery, blood moves at a higher speed compared to the unconstricted region, leading to a decrease in pressure.

Question 14

A hole is poked through the metal side of a drum holding water. The hole is 28 cm below the water surface. What is the initial speed of outflow?

Accepted Answer

The answer of A hole is poked through the metal...

Question 15

Water comes down the spillway of a dam from an initial vertical height of 100 m. What is the highest possible speed of the water at the end of the spillway?

Accepted Answer

The answer of Water comes down the spillway of a...

Question 16

Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume?

Accepted Answer

According to Bernoulli's equation, the sum of pressure and energy per unit volume is constant along a horizontal pipe with ideal fluid flow, regardless of the diameter of the pipe. This is because the equation considers the conservation of energy, meaning that as the diameter increases, the fluid velocity decreases, and the pressure increases to maintain a constant energy per unit volume.

Question 17

The flow rate of a liquid through a 2.0-cm radius pipe is 0.016 m³/s. The average fluid speed in the pipe is:

Accepted Answer

The answer of The flow rate of a liquid through...

Question 18

The Garfield Thomas water tunnel at Pennsylvania State University has a circular cross-section that constricts from a diameter of 3.6 m to the test section, which is 1.2 m in diameter. If the speed of flow is 2.0 m/s in the large-diameter pipe, determine the speed of flow in the test section.

Accepted Answer

The answer of The Garfield Thomas water tunnel at Pennsylvania...

Question 19

An ideal fluid, of density 0.85 * 10³ kg/m³, flows at 0.50 kg/s through a pipe of radius 0.010 m. What is the fluid speed?

Accepted Answer

The fluid speed can be calculated using the formula for mass flow rate: mass flow rate = density × area × velocity. Solving for velocity gives velocity = mass flow rate / (density × area). The area of the pipe is πr², where r = 0.010 m. Substituting the given values, velocity = 0.50 kg/s / (0.85 × 10³ kg/m³ × π × (0.010 m)²) ≈ 1.9 m/s.

Question 20

Air pressure is 1.0 * 10⁵N/m², air density is 1.3 kg/m³, and the density of soft drinks is 1.0 * 10³ kg/m³. If one blows carefully across the top of a straw sticking up 0.080 m from the liquid in a soft drink can, it is possible to make the soft drink rise half way up the straw and stay there. How fast must the air be blown across the top of the straw?

Accepted Answer

The speed of the air must be such that the pressure drop due to the airflow equals the pressure difference needed to lift the liquid halfway up the straw. Using Bernoulli's equation and the given densities, the required speed is calculated to be approximately 25 m/s.

Quiz 10: Fluids

A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.0-cm diameter narrows to 1.0-cm diameter, what is the pressure drop in the constricted section for airflow of 4.0 m/s in the 2-cm section? (Assume air density is 1.25 kg/m³.)

An ideal fluid flows through a pipe made of two sections with diameters of 1.0 and 2.0 inches, respectively. The speed of the fluid flow through the 2.0-inch section will be what factor times that through the 1.0-inch section?

Water (density = 1 *10³ kg/m³) flows at 16 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?

A jet of water flowing from a hose at 15 m/s is directed against a wall. If the mass flow in the fluid stream is 4.3 kg/s, what force is the water applying to the wall if backsplash is negligible?

Water (density = 1*10³ kg/m³) flows at 10 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor?

How much air must be pushed downward at 60.0 m/s to keep an 800-kg helicopter aloft?

A fountain sends water to a height of 50 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 10⁵ N/m²)

An ideal fluid, of density 0.90 10³ kg/m³, flows at 12 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 10⁵ N/m². This pipe connects to a second level pipe with a radius of 1.5 cm. Find the speed of flow in the second pipe.

A block of wood is floating in water. If the temperature of the water increases, what happens to the fraction of the block above water?

Water pressurized to 4 * 10⁵ Pa is flowing at 5.0 m/s in a pipe which contracts to 1/3 of its former area. What are the pressure and speed of the water after the contraction? (density of water = 1 * 10³ kg/m³)

The flow rate of blood through the average human aorta, of radius 0.95 cm, is about 90 cm³/s. What is the speed of the blood flow through the aorta?

A Boeing-737 airliner has a mass of 30,000 kg. The total area of the wings is 100 m². What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

When an artery gets a constricted region due to plaque, how does the pressure in this region compare to the pressure in an unconstricted region adjacent?

A hole is poked through the metal side of a drum holding water. The hole is 28 cm below the water surface. What is the initial speed of outflow?

Water comes down the spillway of a dam from an initial vertical height of 100 m. What is the highest possible speed of the water at the end of the spillway?

Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume?

The flow rate of a liquid through a 2.0-cm radius pipe is 0.016 m³/s. The average fluid speed in the pipe is:

The Garfield Thomas water tunnel at Pennsylvania State University has a circular cross-section that constricts from a diameter of 3.6 m to the test section, which is 1.2 m in diameter. If the speed of flow is 2.0 m/s in the large-diameter pipe, determine the speed of flow in the test section.

An ideal fluid, of density 0.85 * 10³ kg/m³, flows at 0.50 kg/s through a pipe of radius 0.010 m. What is the fluid speed?

Quiz 10: Fluids

A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.0-cm diameter narrows to 1.0-cm diameter, what is the pressure drop in the constricted section for airflow of 4.0 m/s in the 2-cm section? (Assume air density is 1.25 kg/m3.)

An ideal fluid flows through a pipe made of two sections with diameters of 1.0 and 2.0 inches, respectively. The speed of the fluid flow through the 2.0-inch section will be what factor times that through the 1.0-inch section?

Water (density = 1 *103 kg/m3) flows at 16 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?

A jet of water flowing from a hose at 15 m/s is directed against a wall. If the mass flow in the fluid stream is 4.3 kg/s, what force is the water applying to the wall if backsplash is negligible?

Water (density = 1*103 kg/m3) flows at 10 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor?

How much air must be pushed downward at 60.0 m/s to keep an 800-kg helicopter aloft?

A fountain sends water to a height of 50 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 105 N/m2)

An ideal fluid, of density 0.90 *103 kg/m3, flows at 12 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 *105 N/m2. This pipe connects to a second level pipe with a radius of 1.5 cm. Find the speed of flow in the second pipe.

A block of wood is floating in water. If the temperature of the water increases, what happens to the fraction of the block above water?

Water pressurized to 4 * 105 Pa is flowing at 5.0 m/s in a pipe which contracts to 1/3 of its former area. What are the pressure and speed of the water after the contraction? (density of water = 1 * 103 kg/m3)

The flow rate of blood through the average human aorta, of radius 0.95 cm, is about 90 cm3/s. What is the speed of the blood flow through the aorta?

A Boeing-737 airliner has a mass of 30,000 kg. The total area of the wings is 100 m2. What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

When an artery gets a constricted region due to plaque, how does the pressure in this region compare to the pressure in an unconstricted region adjacent?

A hole is poked through the metal side of a drum holding water. The hole is 28 cm below the water surface. What is the initial speed of outflow?

Water comes down the spillway of a dam from an initial vertical height of 100 m. What is the highest possible speed of the water at the end of the spillway?

Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume?

The flow rate of a liquid through a 2.0-cm radius pipe is 0.016 m3/s. The average fluid speed in the pipe is:

The Garfield Thomas water tunnel at Pennsylvania State University has a circular cross-section that constricts from a diameter of 3.6 m to the test section, which is 1.2 m in diameter. If the speed of flow is 2.0 m/s in the large-diameter pipe, determine the speed of flow in the test section.

An ideal fluid, of density 0.85 * 103 kg/m3, flows at 0.50 kg/s through a pipe of radius 0.010 m. What is the fluid speed?

A Venturi tube may be used as the inlet to an automobile carburetor. If the inlet pipe of 2.0-cm diameter narrows to 1.0-cm diameter, what is the pressure drop in the constricted section for airflow of 4.0 m/s in the 2-cm section? (Assume air density is 1.25 kg/m³.)

Water (density = 1 *10³ kg/m³) flows at 16 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?

Water (density = 1*10³ kg/m³) flows at 10 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor?

A fountain sends water to a height of 50 m. What must be the pressurization (above atmospheric) of the underground water system? (1 atm = 10⁵ N/m²)

An ideal fluid, of density 0.90 10³ kg/m³, flows at 12 m/s through a level pipe with radius of 0.50 cm. The pressure in the fluid is 1.3 10⁵ N/m². This pipe connects to a second level pipe with a radius of 1.5 cm. Find the speed of flow in the second pipe.

Water pressurized to 4 * 10⁵ Pa is flowing at 5.0 m/s in a pipe which contracts to 1/3 of its former area. What are the pressure and speed of the water after the contraction? (density of water = 1 * 10³ kg/m³)

The flow rate of blood through the average human aorta, of radius 0.95 cm, is about 90 cm³/s. What is the speed of the blood flow through the aorta?

A Boeing-737 airliner has a mass of 30,000 kg. The total area of the wings is 100 m². What must be the pressure difference between the top and bottom of the wings to keep the airplane up?

The flow rate of a liquid through a 2.0-cm radius pipe is 0.016 m³/s. The average fluid speed in the pipe is:

An ideal fluid, of density 0.85 * 10³ kg/m³, flows at 0.50 kg/s through a pipe of radius 0.010 m. What is the fluid speed?