equation of continuity and bernoulli's principle

The figure below shows fluid of speed v1 = 10 m/s at the

large cross section A1 of diameter 8 m. It flows in the

narrow section of area A2 of diameter 4 m at speed v2.

Calculate v2.

• 40m/s

• 20m/s

• 10m/s

• 30m/s

The figure below shows water entering section 1 of a tube at a speed of 𝑣1 = 10.0 𝑚/𝑠 through an area of cross section 𝐴1 = 3.00 𝑚². The water then flows through a narrower section 2 at a speed of 𝑣2 = 15.0 𝑚/𝑠.Calculate the area of the narrow region of the tube.

• 2 m²

• 1 m²

• 0.5 m²

• 1.5m²

Which conservation law is the equation of continuity based on?

• Law of conservation of mass

• Law of conservation of energy

• Law of conservation of mass and energy

• none of the above

Which conservation law is the Bernoulli's based on?

• law of conservation of energy

• law of conservation of mass

• law of conservation of energy and mass

• none of the above

The diagram below shows a venturi tube. The radius of the pipe at cross section 𝐴 is 𝑟_A = 4.0 𝑚 and at cross

section 𝐵 is 𝑟_B = 2.0 𝑚. Water enters cross section 𝐴 with a speed of 5.00 𝑚/𝑠. What is the speed of the water as it enters cross section B of the tube?

• 20m/s

• 30m/s

• 10m/s

• 5m/s

Bernoullis principle explains the relationship between

• pressure and velocity

• pressure and area

• velocity and area

• none of the above

Bernoullis princple explains

• when the velocity of the fluid increases pressure decreases

• when the velocity of the fluid increases pressure increases

• when the velocity of the fluid increases area decreases

• when the velocity of the fluid increases area increases

The flow of water from a water hose demonstrates ___________.

• pressure law

• Pascal’s principal

• Bernoulli’s principle

• Archimedes’ principle

Water flows at 6.0 m/s through a horizontal

section of pipe with a diameter of 6.0 cm. Further on,

the pipe narrows, and the water flows at 10.0 m/s.

What happens to the water pressure in the narrower

section of the pipe?

• Doubles

• Decreases

• Quadruples

• Remains the same

The venturi tube below has three parts with different diameters. Which of the following is true about the three pressure readings?

• 𝑃1 > 𝑃2 > 𝑃3

• 𝑃1 < 𝑃2 < 𝑃3

• 𝑃2 < 𝑃1< 𝑃3

• 𝑃1= 𝑃2 = 𝑃3