Question 1

A hole of radius 1.0 mm forms in the bottom of a very large water storage tank that holds water to a depth of 15 m.At what volume rate will water flow out of the hole?

Accepted Answer

A) 5.4 × 10-4 m3/s 
B) 5.4 × 10-5 m3/s 
C) 5.4 × 10-6 m3/s 
D) 5.4 × 10-7 m3/s 
A) 5.4 × 10-4 m3/s 
B) 5.4 × 10-5 m3/s 
C) 5.4 × 10-6 m3/s 
D) 5.4 × 10-7 m3/s

Question 2

A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of $13 \mathrm {~m} / \mathrm { s }$ as shown in the figure.Point A is 10 m above point B and point C is 3.0 m above point B.The area of the pipe at point B is $0.080 \mathrm {~m} ^ { 2 }$ and the pipe narrows to an area of $0.040 \mathrm {~m} ^ { 2 }$ at point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m3 The mass flow rate in the pipe is closest to

Accepted Answer

A) 520 Kg/s. 
B) 470 Kg/s. 
C) 420 Kg/s. 
D) 360 Kg/s. 
E) 310 Kg/s. 
A) 520 Kg/s. 
B) 470 Kg/s. 
C) 420 Kg/s. 
D) 360 Kg/s. 
E) 310 Kg/s.

Question 3

Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at 1.0 m/s.There is a 2.0 cm diameter constriction in the line.What is the speed of the fluid in this constriction?

Accepted Answer

A) 0.25 m/s 
B) 0.50 m/s 
C) 2.0 m/s 
D) 4.0 m/s 
A) 0.25 m/s 
B) 0.50 m/s 
C) 2.0 m/s 
D) 4.0 m/s

Question 4

Water is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of water is 8.0 m,and the speed of the flow is 2.5 m/s.What is the mass flow rate of the water? The density of water is 1000 kg/m3.

Accepted Answer

A) 2.0 × 105 kg/s 
B) 2.0 × 103 kg/s 
C) 3.0 × 105 kg/s 
D) 3.0 × 103 kg/s 
E) 3.0 × 102 kg/s 
A) 2.0 × 105 kg/s 
B) 2.0 × 103 kg/s 
C) 3.0 × 105 kg/s 
D) 3.0 × 103 kg/s 
E) 3.0 × 102 kg/s

Question 5

Ideal incompressible water is flowing in a drainage channel of rectangular cross-section.At one point,the width of the channel is 12 m,the depth of water is 6.0 m,and the speed of the flow is 2.5 m/s.At a point downstream,the width has narrowed to 9.0 m,and the depth of water is 8.0 m.What is the speed of the flow at the second point?

Accepted Answer

A) 2.0 m/s 
B) 2.5 m/s 
C) 3.0 m/s 
D) 3.5 m/s 
E) 4.0 m/s 
A) 2.0 m/s 
B) 2.5 m/s 
C) 3.0 m/s 
D) 3.5 m/s 
E) 4.0 m/s

Question 6

A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported with its base 8.75 m above the ground by a stand as shown in the figure.The water level in the tank is 10.6 m deep,and the density of the water in the tank is 1.00 g/cm3.A very small hole is formed at the base of the vertical wall of the tank,and water is squirting out of this hole horizontally.When this water hits the ground,how far has it traveled horizontally from the hole,assuming no air resistance?

Accepted Answer

Question 7

Two horizontal pipes have the same diameter,but pipe B is twice as long as pipe A.Water undergoes viscous flow in both pipes,subject to the same pressure difference across the lengths of the pipes.If the flow rate in pipe B is Q = $\frac { \Delta V } { \Delta t }$ what is the flow rate in pipe A?

Accepted Answer

A) 2Q 
B) 4Q 
C) 8Q 
D) 16Q 
E) Q $\sqrt { 2 }$ 
A) 2Q 
B) 4Q 
C) 8Q 
D) 16Q 
E) Q $\sqrt { 2 }$

Question 8

Motor oil,with a viscosity of 0.25 N ∙ s/m2,is flowing through a tube that has a radius of 5.0 mm and is 25 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

Accepted Answer

A) 0.00038 m3/s 
B) 0.025 m3/s 
C) 0.0012 m3/s 
D) 4.7 m3/s 
E) 7.5 m3/s 
A) 0.00038 m3/s 
B) 0.025 m3/s 
C) 0.0012 m3/s 
D) 4.7 m3/s 
E) 7.5 m3/s

Question 9

Water,which we can treat as ideal and incompressible,flows at 12 m/s in a horizontal pipe with a pressure of 3.0 × 104 Pa.If the pipe widens to twice its original radius,what is the pressure in the wider section?

Accepted Answer

A) 3.0 × 104 Pa 
B) 4.9 × 104 Pa 
C) 7.4 × 104 Pa 
D) 9.8 × 104 Pa 
A) 3.0 × 104 Pa 
B) 4.9 × 104 Pa 
C) 7.4 × 104 Pa 
D) 9.8 × 104 Pa

Question 10

An ideal incompressible fluid flows at 0.252 m/s through a 44-mm diameter cylindrical pipe.The pipe widens to a square cross sectional area that is 5.5 cm on a side.Assume steady flow throughout the system.
(a)What is the speed of the fluid through the square section of pipe?
(b)What is the flow rate in liters per minute?

Accepted Answer

(a)0.13 m/

A hole of radius 1.0 mm forms in the bottom of a very large water storage tank that holds water to a depth of 15 m.At what volume rate will water flow out of the hole?

Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at 1.0 m/s.There is a 2.0 cm diameter constriction in the line.What is the speed of the fluid in this constriction?

Water is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of water is 8.0 m,and the speed of the flow is 2.5 m/s.What is the mass flow rate of the water? The density of water is 1000 kg/m³.

Two horizontal pipes have the same diameter,but pipe B is twice as long as pipe A.Water undergoes viscous flow in both pipes,subject to the same pressure difference across the lengths of the pipes.If the flow rate in pipe B is Q = $\frac { \Delta V } { \Delta t }$ what is the flow rate in pipe A?

Motor oil,with a viscosity of 0.25 N ∙ s/m²,is flowing through a tube that has a radius of 5.0 mm and is 25 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

Water,which we can treat as ideal and incompressible,flows at 12 m/s in a horizontal pipe with a pressure of 3.0 × 10⁴ Pa.If the pipe widens to twice its original radius,what is the pressure in the wider section?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

Exam 12: Fluids in Motion

A hole of radius 1.0 mm forms in the bottom of a very large water storage tank that holds water to a depth of 15 m.At what volume rate will water flow out of the hole?

Ideal incompressible fluid flows through a 4.0-cm-diameter pipe at 1.0 m/s.There is a 2.0 cm diameter constriction in the line.What is the speed of the fluid in this constriction?

Water is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of water is 8.0 m,and the speed of the flow is 2.5 m/s.What is the mass flow rate of the water? The density of water is 1000 kg/m3.

Motor oil,with a viscosity of 0.25 N ∙ s/m2,is flowing through a tube that has a radius of 5.0 mm and is 25 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

Water,which we can treat as ideal and incompressible,flows at 12 m/s in a horizontal pipe with a pressure of 3.0 × 104 Pa.If the pipe widens to twice its original radius,what is the pressure in the wider section?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

Water is flowing in a drainage channel of rectangular cross-section.The width of the channel is 15 m,the depth of water is 8.0 m,and the speed of the flow is 2.5 m/s.What is the mass flow rate of the water? The density of water is 1000 kg/m³.

Motor oil,with a viscosity of 0.25 N ∙ s/m²,is flowing through a tube that has a radius of 5.0 mm and is 25 cm long.The drop in pressure is 300 kPa.What is the volume of oil flowing through the tube per second?

Water,which we can treat as ideal and incompressible,flows at 12 m/s in a horizontal pipe with a pressure of 3.0 × 10⁴ Pa.If the pipe widens to twice its original radius,what is the pressure in the wider section?