Question 1

Fluid flows at 2.0 m/s through a pipe of diameter 3.0 cm.What is the volume flow rate of the fluid?

Accepted Answer

A) 1.4 × 10-3 m3/s 
B) 5.7 × 10-3 m3/s 
C) 14 m3/s 
D) 57 m3/s 
A) 1.4 × 10-3 m3/s 
B) 5.7 × 10-3 m3/s 
C) 14 m3/s 
D) 57 m3/s A

Question 2

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

Accepted Answer

A) 0.32 m/s 
B) 0.64 m/s 
C) 1.3 m/s 
D) 2.6 m/s 
E) 5.1 m/s 
A) 0.32 m/s 
B) 0.64 m/s 
C) 1.3 m/s 
D) 2.6 m/s 
E) 5.1 m/s E

Question 3

When you blow some air above a paper strip,the paper rises.This happens because

Accepted Answer

A) the air above the paper moves faster and the pressure is higher. 
B) the air above the paper moves faster and the pressure is lower. 
C) the air above the paper moves faster and the pressure remains constant. 
D) the air above the paper moves slower and the pressure is higher. 
E) the air above the paper moves slower and the pressure is lower. 
A) the air above the paper moves faster and the pressure is higher. 
B) the air above the paper moves faster and the pressure is lower. 
C) the air above the paper moves faster and the pressure remains constant. 
D) the air above the paper moves slower and the pressure is higher. 
E) the air above the paper moves slower and the pressure is lower. B

Question 4

A fluid is flowing with an average speed of 1.5 m/s through a tube that has a radius of 2.0 mm and is 18 cm long.The drop in pressure is 967 Pa.What is the viscosity of the fluid?

Accepted Answer

A) 0.0018 N ∙ s/m2 
B) 0.0056 N ∙ s/m2 
C) 0.028 N ∙ s/m2 
D) 0.013 N ∙ s/m2 
E) 0.0034 N ∙ s/m2 
A) 0.0018 N ∙ s/m2 
B) 0.0056 N ∙ s/m2 
C) 0.028 N ∙ s/m2 
D) 0.013 N ∙ s/m2 
E) 0.0034 N ∙ s/m2

Question 5

Water flows out of a large reservoir through 5.0-cm diameter pipe.The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere,as shown in the figure.What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

Accepted Answer

A) 2.3 m/s 
B) 3.2 m/s 
C) 3.9 m/s 
D) 8.9 m/s 
E) 10 m/s 
A) 2.3 m/s 
B) 3.2 m/s 
C) 3.9 m/s 
D) 8.9 m/s 
E) 10 m/s

Question 6

Ideal incompressible water flows through a horizontal pipe of cross-sectional area 10.0 cm2 at a pressure of 0.250 atm with a volume flow rate of 1.00 × 10-3 m3/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm2.What is the pressure at the valve?

Accepted Answer

A) 0.112 atm 
B) 0.157 atm 
C) 0.200 atm 
D) 0.235 atm 
A) 0.112 atm 
B) 0.157 atm 
C) 0.200 atm 
D) 0.235 atm

Question 7

Two horizontal pipes are the same length,but pipe B has twice the diameter of 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 A is Q = $\frac { \Delta V } { \Delta t }$ ,what is the flow rate in pipe B?

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

Water flows through a pipe.The diameter of the pipe at point B is larger than at point A.Where is the water pressure greatest?

Accepted Answer

A) at point A 
B) at point B 
C) It is the same at both A and B. 
A) at point A 
B) at point B 
C) It is the same at both A and B.

Question 9

An ideal incompressible fluid flows at 12 m/s in a horizontal pipe.If the pipe widens to twice its original radius,what is the flow speed in the wider section?

Accepted Answer

A) 12 m/s 
B) 6.0 m/s 
C) 4.0 m/s 
D) 3.0 m/s 
A) 12 m/s 
B) 6.0 m/s 
C) 4.0 m/s 
D) 3.0 m/s

Question 10

Glycerin,with a viscosity of 1.5 N ∙ s/m2,is flowing with an average speed of 1.2 m/s through a tube that has a radius of 5.0 mm and is 25 cm long.What is the drop in pressure over the length of this pipe?

Accepted Answer

A) 140 kPa 
B) 46 kPa 
C) 72 kPa 
D) 76 kPa 
E) 130 kPa 
A) 140 kPa 
B) 46 kPa 
C) 72 kPa 
D) 76 kPa 
E) 130 kPa

Question 11

Motor oil,with a viscosity of 0.25 N ∙ s/m2,is flowing through a tube that has a radius of 3.0 mm and is 1.0 m long.The drop in pressure over the length of the tube is 200 kPa.What is the average speed of the oil?

Accepted Answer

A) 0.80 m/s 
B) 0.90 m/s 
C) 1.0 m/s 
D) 1.1 m/s 
E) 1.2 m/s 
A) 0.80 m/s 
B) 0.90 m/s 
C) 1.0 m/s 
D) 1.1 m/s 
E) 1.2 m/s

Question 12

A pressurized cylindrical tank,5.0 m in diameter,contains water that emerges from the pipe at point C with a speed of $84 \mathrm {~m} / \mathrm { s }$ 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 $0.070 \mathrm {~m} ^ { 2 }$ at point C.Assume that the water is an ideal fluid in laminar flow.The density of water is 1000 kg/m3.The rate at which the water level is falling in the tank is closest to

Accepted Answer

A) 300 mm/s. 
B) 340 mm/s. 
C) 250 mm/s. 
D) 210 mm/s. 
E) 160 mm/s. 
A) 300 mm/s. 
B) 340 mm/s. 
C) 250 mm/s. 
D) 210 mm/s. 
E) 160 mm/s.

Question 13

A pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes a fluid through a pipe.What is the speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter? Treat the fluid as ideal and incompressible.

Accepted Answer

A) 50 m/s 
B) 50 cm/s 
C) 6.0 cm/s 
D) 22 cm/s 
A) 50 m/s 
B) 50 cm/s 
C) 6.0 cm/s 
D) 22 cm/s

Question 14

Water flowing through a cylindrical pipe suddenly comes to a section of pipe where the diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was $32 \mathrm {~m} / \mathrm { s }$ what is its speed in this smaller section if the water behaves like an ideal incompressible fluid?

Accepted Answer

A) 43 m/s 
B) 37 m/s 
C) 28 m/s 
D) 24 m/s 
A) 43 m/s 
B) 37 m/s 
C) 28 m/s 
D) 24 m/s

Question 15

For a certain patient,the build-up of fatty tissue on the wall of an artery has decreased the arterial radius by 10%.By how much would the pressure provided by the heart have to be increased to maintain a constant volume of blood flow? Model the blood as an ideal incompressible fluid.

Accepted Answer

A) 48% 
B) 52% 
C) 46% 
D) 54% 
A) 48% 
B) 52% 
C) 46% 
D) 54%

Question 16

Consider a very small hole in the bottom of a tank that is $17.0 \mathrm {~cm}$ in diameter and filled with water to a height of $90.0 \mathrm {~cm}$ Find the speed at which the water exits the tank through the hole.

Accepted Answer

A) 4.20 m/s 
B) 17.64 m/s 
C) 44.1 m/s 
D) 48.3 m/s 
A) 4.20 m/s 
B) 17.64 m/s 
C) 44.1 m/s 
D) 48.3 m/s

Question 17

As shown in the figure,water (density 1000 kg/ $m ^ { 3 }$ )is flowing in a pipeline.At point 1 the water speed is $5.90 \mathrm {~m} / \mathrm { s }$ Point 2 is 5.20 m above point 1.The cross-sectional area of the pipe is 0.0800 $m ^ { 2 }$ at point 1 and $0.0200 \mathrm {~m} ^ { 2 }$ at point 2.What is the pressure difference $p 1 - p 2$ between points 1 and 2? Treat the water as an ideal incompressible fluid.

Accepted Answer

The answer of As shown in the figure,water (density 1000...

Question 18

Water flows through a horizontal pipe of cross-sectional area 10.0 cm2 at a pressure of 0.250 atm with a flow rate is 1.00 L/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm2.What is the pressure at the valve? The density of water is 1000 kg/m3,and treat it as an ideal incompressible fluid.

Accepted Answer

A) 0.110 atm 
B) 0.235 atm 
C) 0.200 atm 
D) 0.157 atm 
E) 7700 Pa 
A) 0.110 atm 
B) 0.235 atm 
C) 0.200 atm 
D) 0.157 atm 
E) 7700 Pa

Question 19

In a section of horizontal pipe with a diameter of 3.0 cm,the pressure is 100 kPa and water is flowing with a speed of 1.5 m/s.The pipe narrows to 2.0 cm.What is the pressure in the narrower region? Treat the water as an ideal incompressible fluid.

Accepted Answer

A) 95 kPa 
B) 48 kPa 
C) 44 kPa 
D) 230 kPa 
E) 67 kPa 
A) 95 kPa 
B) 48 kPa 
C) 44 kPa 
D) 230 kPa 
E) 67 kPa

Question 20

Water flows out of a large reservoir through an open pipe,as shown in the figure.What is the speed of the water as it comes out of the pipe?

Accepted Answer

A) 8.9 m/s 
B) 9.9 m/s 
C) 13 m/s 
D) 14 m/s 
E) 16 m/s 
A) 8.9 m/s 
B) 9.9 m/s 
C) 13 m/s 
D) 14 m/s 
E) 16 m/s

Exam 12: Fluids in Motion

Fluid flows at 2.0 m/s through a pipe of diameter 3.0 cm.What is the volume flow rate of the fluid?

An incompressible ideal fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

When you blow some air above a paper strip,the paper rises.This happens because

A fluid is flowing with an average speed of 1.5 m/s through a tube that has a radius of 2.0 mm and is 18 cm long.The drop in pressure is 967 Pa.What is the viscosity of the fluid?

Water flows out of a large reservoir through 5.0-cm diameter pipe.The pipe connects to a 3.0-cm diameter pipe that is open to the atmosphere,as shown in the figure.What is the speed of the water in the 5.0-cm pipe? Treat the water as an ideal incompressible fluid.

Ideal incompressible water flows through a horizontal pipe of cross-sectional area 10.0 cm2 at a pressure of 0.250 atm with a volume flow rate of 1.00 × 10-3 m3/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm2.What is the pressure at the valve?

Water flows through a pipe.The diameter of the pipe at point B is larger than at point A.Where is the water pressure greatest?

An ideal incompressible fluid flows at 12 m/s in a horizontal pipe.If the pipe widens to twice its original radius,what is the flow speed in the wider section?

Glycerin,with a viscosity of 1.5 N ∙ s/m2,is flowing with an average speed of 1.2 m/s through a tube that has a radius of 5.0 mm and is 25 cm long.What is the drop in pressure over the length of this pipe?

Motor oil,with a viscosity of 0.25 N ∙ s/m2,is flowing through a tube that has a radius of 3.0 mm and is 1.0 m long.The drop in pressure over the length of the tube is 200 kPa.What is the average speed of the oil?

A pump uses a piston of 15 cm diameter that moves at 2.0 cm/s as it pushes a fluid through a pipe.What is the speed of the fluid when it enters a portion of the pipe that is 3.0 mm in diameter? Treat the fluid as ideal and incompressible.

For a certain patient,the build-up of fatty tissue on the wall of an artery has decreased the arterial radius by 10%.By how much would the pressure provided by the heart have to be increased to maintain a constant volume of blood flow? Model the blood as an ideal incompressible fluid.

Consider a very small hole in the bottom of a tank that is 17.0 cm17.0 \mathrm {~cm}17.0 cm in diameter and filled with water to a height of 90.0 cm90.0 \mathrm {~cm}90.0 cm Find the speed at which the water exits the tank through the hole.

In a section of horizontal pipe with a diameter of 3.0 cm,the pressure is 100 kPa and water is flowing with a speed of 1.5 m/s.The pipe narrows to 2.0 cm.What is the pressure in the narrower region? Treat the water as an ideal incompressible fluid.

Water flows out of a large reservoir through an open pipe,as shown in the figure.What is the speed of the water as it comes out of the pipe?

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

Ideal incompressible water flows through a horizontal pipe of cross-sectional area 10.0 cm² at a pressure of 0.250 atm with a volume flow rate of 1.00 × 10^-³ m³/s.At a valve,the effective cross-sectional area of the pipe is reduced to 5.00 cm².What is the pressure at the valve?

Glycerin,with a viscosity of 1.5 N ∙ s/m²,is flowing with an average speed of 1.2 m/s through a tube that has a radius of 5.0 mm and is 25 cm long.What is the drop in pressure over the length of this pipe?

Motor oil,with a viscosity of 0.25 N ∙ s/m²,is flowing through a tube that has a radius of 3.0 mm and is 1.0 m long.The drop in pressure over the length of the tube is 200 kPa.What is the average speed of the oil?

Consider a very small hole in the bottom of a tank that is $17.0 \mathrm {~cm}$ in diameter and filled with water to a height of $90.0 \mathrm {~cm}$ Find the speed at which the water exits the tank through the hole.