Solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS
Problem 1CP:
Express Newton’s second law of motion for rotating bodies. That can you say about the angular...Problem 2CP:
Express Newton’s first, second, and third laws.Problem 4CP:
Express the conservation of momentum principle. What can you say about the momentum of a body if the...Problem 5CP:
How do surface forces arise in the momentum analysis of a control volume? How can we minimize the...Problem 6CP:
Explain the importance of the Reynolds transport theorem in fluid mechanics, and describe how the...Problem 7CP:
What is the importance of the momentum-flux correction factor in the momentum analysis of flow...Problem 8CP:
Write the momentum equation for steady one-dimensional flow for the case of no external forces and...Problem 9CP:
In the application of the momentum equation, explain why we can usually disregard the atmospheric...Problem 10CP:
Two firefighters are fighting a fire with identical water hoses and nozzles, except that one is...Problem 11CP:
A rocket in space (no friction or resistance to motion) can expel gases relative to itself at some...Problem 13CP:
Does it take more, equal, or less power for a helicopter to hover at the top of a high mountain than...Problem 14CP:
In a given location, would a helicopter require more energy in summer or winter to achieve a...Problem 15CP:
Describe body forces and surface forces, and explain how the net force acting 01) a control volume...Problem 16CP:
A constant-velocity horizontal water jet from a stationary nozzle impinges normally on a vertical...Problem 17CP:
A horizontal water jet of constant velocity V from a stationary nozzle impinges normally on a...Problem 18CP:
A horizontal water jet from a nozzle of constant exit cross section impinges normally on a...Problem 19P:
A 2.5-cm-diameter horizontal water jet with a speed of = 40 m/s relative to the ground is deflected...Problem 20P:
A 90 elbow in a horizontal pipe is used to direct water flow upward at a rate of 40 kg/s. The...Problem 21P:
Repeat Prob. 6-20 for the case of another (identical) elbow attached to the existing elbow so that...Problem 22EP:
A horizontal water jet impinges against a vertical flat plate at 30 ft/s and splashes off the sides...Problem 23P:
Water enters a 7-cm-diameter pipe steadily with a uniform velocity of 2 mi’s and exits with the...Problem 24P:
A reducing elbow in a horizontal pipe is used to deflect water flow by an angle =450from the flow...Problem 25P:
Repeat Prob. 6-24 for the case of = 125°.Problem 26EP:
A 100-ft3/s water jet is moving in the positive x-direction at 18 ft/s. The stream hits a stationary...Problem 27EP:
Reconsider Prob. 6-26E. Using appropriate software, investigate the effect of the splitter angle on...Problem 28P:
Commercially available large wind turbines have blade span diameters larger than 100 m and generate...Problem 29EP:
A fan with 24-in-diameter blades moves 2000 cfm (cubic feet per minute) of air at 70°F at sea level....Problem 30EP:
A 3-in-diameter horizontal jet of water, with velocity 140 ft/s, strikes a bent plate, which...Problem 31P:
Firefighters are holding a nozzle at the end of a hose while trying to extinguish a fire. If the...Problem 32P:
A 5-cm-diameter horizontal jet of water with a velocity of 30 m/s relative to the ground strikes a...Problem 34EP:
A 3-in-diameter horizontal water jet having a velocity of 90 ft/s strikes a curved plate, which...Problem 35P:
An unloaded helicopter of mass 12,000 kg hovers at sea level while it is being loaded. In the...Problem 37P:
Water is flowing through a 10-cm-diameter water pipe at a rate of 0.1 m3/s. Now a diffuser with an...Problem 38P:
Water flowing in a horizontal 25-cm-diameter pipe at 8 m/s and 300 kPa gage enters a 90 bend...Problem 40P:
Water enters a centrifugal pump axially at atmospheric pressure at a rate of 0.09 m3/s and at a...Problem 41P:
An incompressible fluid of density and viscosity flows through a curved duct that turns the flow...Problem 42P:
Consider the curved duct of Prob. 6-41, except 4Ilow the cross-sectional area to vary along the duct...Problem 43P:
As a follow-up to Prob. 6-41, it turns out that for a large enough area ratio A2,/A1, the inlet...Problem 45P:
The weight of a water tank open to the atmosphere is balanced by a counterweight, as shown in Fig....Problem 46P:
A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate,...Problem 47P:
A room is to be ventilated using a centrifugal fan, mounted as shown ii the figure. The fan...Problem 52EP:
A large lawn sprinkler with two identical arms is used to generate electric power by attaching a...Problem 54P:
The impeller of a centrifugal pump has inner and outer diameters of 15 and 35 cm, respectively, and...Problem 55P:
Water is flowing through a 15-cm-diameter pipe that consists of a 3-rn- long vertical and 2-m-long...Problem 57P:
Repeat Prob. 6-56 for a water flow rate of 60 L/s.Problem 60EP:
Water enters the impeller of a centrifugal pump radially at a rate of 45 cfm (cubic feet per minute)...Problem 61P:
A lawn sprinkler with three identical antis is used to water a garden by rotating in a horizontal...Problem 64P:
The impeller of a centrifugal blower has a radius of 18 cm and a blade width of 6.1 cm at the inlet,...Problem 65P:
An 8-cm-diameter horizontal water jet having a velocity of 35 in s strikes a vertical stationary...Problem 66P:
Water flowing steadily at a rate of 0.16 m3/s is deflected downward by an angled elbow as shown in...Problem 67P:
Repeat Prob. 6-66 by taking into consideration the weight of the elbow v1ose mass is 5 kg. 290Problem 68P:
A 16-cm diameter horizontal water jet with a speed of 20 m s relative to the ground is deflected by...Problem 69P:
Water enters vertically and steadily at a rate of 10 Ls into the sprinkler shown in Fig. P6-69. Both...Problem 70P:
Repeal Prob. 6-69 for the case of unequal anus-the left one being 60 cm and the right one 20 cm from...Problem 74EP:
A spacecraft cruising in space at a constant velocity of 2000 ft/s has a mass of 25.000 Ibm. To slow...Problem 75P:
A 60-kg ice skater is standing on ice with ice skates (negligible friction). She is holding a...Problem 76P:
A 5-cm-diameter horizontal jet of water, with velocity 30 ins. strikes the tip of a horizontal cone....Problem 77P:
Water is flowing into and discharging from a pipe U-section as shown in Fig. P6-77. At flange (1)....Problem 78P:
Indiana Jones needs So ascend a 10-m-high building. There is a large hose filled with pressurized...Problem 80P:
A walnut with a mass of 50 g requires a force of 200 N applied continuously for 0.002 s to be...Problem 83P:
A horizontal water jet of constant velocity V impinges normally on a vertical flat plate and...Problem 84P:
Show that the force exerted by a liquid jet on a stationary nozzle as it leaves with a velocity V is...Problem 87P:
Water enters a mixed flow pump axially at a rate of 0.2 m3/s and at a velocity of 5 m/s. and is...Problem 89P:
Water enters a two-armed lawn sprinkler along the vertical axis at a rate of 75 L s. and leaves the...Problem 95P:
A water jet strikes a moving plate at velocity Vjet=10 m/s as the plate moves at a velocity of Li 2...Problem 96P:
Water flows at mass flow rate m through a 90° vertically oriented elbow of elbow radius R (to the...Problem 98P:
Water shoots out of a Iar2e tank sitting a cart with frictionless wheels. The water jet velocity is...Problem 102P:
Consider water flow through a horizontal, short garden hose at a rate of 30 kg mm. The velocity at...Problem 103P:
Consider water flow through a horizontal. short garden hose at a rate of 30 kg/min. The velocity at...Problem 107P:
The velocity of wind at a wind turbine is measured to be 6 ms. The blade span diameter is 24 in and...Problem 108P:
The ve1ocity of wind at a wind turbine is measured to be 8 m/s. The blade span diameter is 12 in....Browse All Chapters of This Textbook
Chapter 1 - Introduction And Basic ConceptsChapter 2 - Properties Of FluidsChapter 3 - Pressure And Fluid StaticsChapter 4 - Fluid KinematicsChapter 5 - Bernoulli And Energy EquationsChapter 6 - Momentum Analysis Of Flow SystemsChapter 7 - Dimensional Analysis And ModelingChapter 8 - Internal FlowChapter 9 - Differential Analysis Of Fluid FlowChapter 10 - Approximate Solutions Of The Navier–stokes Equation
Sample Solutions for this Textbook
We offer sample solutions for FLUID MECHANICS FUND. (LL)-W/ACCESS homework problems. See examples below:
Chapter 1, Problem 1CPChapter 1, Problem 23PChapter 1, Problem 31PChapter 1, Problem 55PChapter 1, Problem 71PChapter 2, Problem 1CPChapter 2, Problem 19PChapter 2, Problem 39PChapter 2, Problem 49P
Given information: The pressure of the air is 95 kPa, the initial temperature is 20°C, the final...Chapter 2, Problem 77PChapter 2, Problem 85PChapter 2, Problem 87PGiven information: The diameter of glass tube is 0.018 in, the contact angle with the glass is 140°,...Chapter 2, Problem 118PChapter 2, Problem 123PChapter 2, Problem 127PChapter 2, Problem 128PGiven: The shear stress used for the Herschel-Bulkley constitute model is τ=τν+K( du dy)m, Yield...Chapter 2, Problem 132PChapter 3, Problem 1CPChapter 3, Problem 26PChapter 3, Problem 48PChapter 3, Problem 49PChapter 3, Problem 51PChapter 3, Problem 55PChapter 3, Problem 67PChapter 3, Problem 72PChapter 3, Problem 78PChapter 3, Problem 79EPChapter 3, Problem 80PChapter 3, Problem 81PChapter 3, Problem 85PChapter 3, Problem 86PChapter 3, Problem 87PChapter 3, Problem 90PChapter 3, Problem 135PThe radius of the semi-circular gate is 0.5 m, specific gravity of fluid in section 1 is 0.91,...Chapter 3, Problem 146PChapter 4, Problem 1CPChapter 4, Problem 23PGiven information: The flow is symmetric about x axis. Write the expression for the two-dimensional...Given information: The fluid particle is located on the centre line. Write the expression for the...Chapter 4, Problem 58PChapter 4, Problem 66PThe shear strain rate is half of the rate of decrease of the angle between two perpendicular lines...The vector field of flow is V⇀=k(x2−y2)i⇀−2kxyj⇀ and the radius of curvature of streamline is R=[1+...Chapter 4, Problem 98PChapter 4, Problem 101PWrite the expression for the two dimensional Poiseuille flow. u=12μdPdx(y2−hy). Here, the distance...Given information: The velocity component along the x direction is...Chapter 4, Problem 120PChapter 4, Problem 121PChapter 5, Problem 1CPChapter 5, Problem 53PChapter 5, Problem 55PChapter 5, Problem 57EPChapter 5, Problem 62PChapter 5, Problem 80PChapter 5, Problem 84PChapter 5, Problem 88PChapter 5, Problem 89PChapter 5, Problem 98PChapter 5, Problem 109PChapter 5, Problem 114PChapter 5, Problem 115PChapter 5, Problem 116PChapter 5, Problem 136PChapter 6, Problem 1CPChapter 6, Problem 23PGiven information: The volume flow rate of the water is 35 L/s, the discharge area for the smaller...Chapter 6, Problem 57PChapter 6, Problem 67PChapter 6, Problem 69PChapter 6, Problem 70PChapter 6, Problem 77PChapter 6, Problem 78PChapter 6, Problem 89PGiven information: The length of the slit is 1.2 m, width of the rectangular slit is 5 mm, water...Chapter 6, Problem 96PChapter 7, Problem 1CPGiven information: The shaft power is W˙, the angular velocity is ω, the fluid density is ρ, the...Chapter 7, Problem 53PChapter 7, Problem 62PChapter 7, Problem 67PThe angular velocity is ω, the fluid density is ρ, the acceleration due to gravity id g, the radius...Chapter 7, Problem 74PGiven information: force pressure gradient =dPdxFlow : steady+ incomprssible down stream distance...In M-L-T system, force = mass×accelerationF = m × a{F} = {mass × meter sec 2}{F} = {M × L t 2}{F} =...Given Information: Top plate speed, Vtop Bottom plate speed, Vbottom Steady flow, incompressible, 2...Chapter 7, Problem 112PChapter 7, Problem 113PChapter 7, Problem 118PGiven information: The following figure shows that two parallel flat plates. Figure-( 1) Assume, at...Chapter 8, Problem 1CPChapter 8, Problem 61PChapter 8, Problem 73PGiven information: The temperature of the water is 70 °F, density of the water is 62.3 lbm/ft3,...Given information: The air discharge rate is 1.2 ft3/s, diameter of the vent is 5 in, length of the...Given information: The temperature of oil is 20°C, the height of cylindrical reservoir is 20 cm, the...Given information: The temperature of the water is 110°C, density of the water is 950.6 kg/m3,...Chapter 8, Problem 94PChapter 8, Problem 96PGiven Information: The diameter of the pipe is 6 cm, the length of the pipe is 33 m, the inlet...Chapter 8, Problem 136PChapter 8, Problem 137PGiven information: The diameter of the cast iron pipe is 0.35 m and the length of the cast iron pipe...Given information: The diameter of tank 1 is 30 cm, diameter of tank 2 is 12 cm, diameter of orifice...Chapter 8, Problem 153PGiven information: The swimming pool diameter is 10 m, the swimming pool height is 2 m, the...Chapter 8, Problem 159PThe following figure represents the branched pipes. Figure-(1) Write the expression for the area of...Chapter 9, Problem 1CPChapter 9, Problem 16PGiven information: The incompressible flow filed for which the velocity u component is u=ax2−bxy,...Given information: The velocity component in θ direction is equal to 0. Write the expression for...Given information: The diameter at the entrance of the nozzle is 0.50 in, the diameter at exit of...Chapter 9, Problem 87PChapter 9, Problem 93PGiven information: The flow is steady, laminar, two-dimensional and incompressible. The flow is...Chapter 9, Problem 101PChapter 9, Problem 102PChapter 9, Problem 103PGiven information: The assumptions made are stated below: The flow is parallel, steady, and laminar....Chapter 9, Problem 123PChapter 10, Problem 1CPGiven information: Actual stokes law is FD=3πμDV+(9π/16)ρV2D2. Three aluminum balls of diameters 2...First, we need to use continuity equation for velocity component. From continuity equation, We have,...Chapter 10, Problem 29PGiven: h0=sleeper pad=11000h1=final height of sleeper=12000 lenght=1.0 Concept Used: Convergence of...Chapter 10, Problem 62PChapter 10, Problem 69PChapter 10, Problem 90PChapter 10, Problem 91PChapter 10, Problem 97PChapter 10, Problem 108PChapter 10, Problem 110PChapter 10, Problem 113PGiven information: The density of air is 0.8588 kg/m3, the temperature of air is −50°C the pressure...Chapter 11, Problem 1CPChapter 11, Problem 41EPChapter 11, Problem 43PChapter 11, Problem 48PChapter 11, Problem 68PChapter 11, Problem 88PChapter 11, Problem 96PChapter 11, Problem 101EPGiven information: Length=3 m Diameter=0.5 m Atmospheric pressure=87 kPa Temperature=20∘C=295 K...Given information: Mass of tractor=17,000 kg Frontal area=9.2 m2 Rolling resistance coefficient=0.05...Given information: Diameter=2 mm ρs=2600 kgm3ρf=1274 kgm3 Vexperimental=3.2 mms μ=1 kgm⋅s Concept...Given information: The diameter of the first aluminum ball is 2 mm, the diameter of the second...Given information: The diameter of the ball is 2 mm, the density of the ball is 2700 kg/m3, the...Chapter 12, Problem 1CPGiven: Air pressure, air temperature and Mach number are 14 psia, 40°F and 2 respectively. Flow...Given: The upstream the shock is given by, Pressure of air P1=58kPa Temperature of air T1=270K Mach...Given: The properties of air are: k = 1.4R = 0.287 kJ/kg·K,cp = 1.005 kJ/kg·K The properties of...Chapter 12, Problem 102PGiven: Temperature T1 = 480R Velocity V1=100 m/s Pressure P1=8 psia Mach number Ma1=2.0 Force...Chapter 12, Problem 126EPGiven: Ambient temperature at inlet T1= 500 K Stagnation Pressure P01=P1=220 psia Exit pressure P2 =...Given: The properties of air: R =0.280 kJ/kg.K cp=1.005 kJ/kg.K k=1.33 Inlet Temperature T1=510K...Given: Mach number k=1.2,1.4 and 1.6 range of 0≤Ma≤1. Calculation: Equation is given by m. R T 0...Chapter 13, Problem 1CPGiven Information: The water flow rate is 10 m3/s and the bottom slope is 0.0015 Write the...Given Information: The figure below represents the cross -section of three channels. Figure-(1) The...Given Information: The figure below shows the cross -section of the channel. Figure-(1) The bottom...Chapter 13, Problem 61PChapter 13, Problem 85PGiven information: Velocity of water flow is 10 m/s, the flow depth is 0.65 m, the bump height is 30...Given Information: The flow depth of upstream weir is 5 ft and the height of the gate opening is 1.1...Given information: The flow depth before the jump is 0.7 m, the flow depth after the jump is 5 m,...Given information: The channel angle is 0.5°. Write the expression for flow rate using manning's...Chapter 13, Problem 140PGiven information: Water is flowing through a sluice gate, the velocity of water before reaching the...Chapter 13, Problem 143PChapter 13, Problem 144PGiven information: The height of bump is 20 cm, initial velocity of flow is 1.25 m/s, the flow depth...Chapter 13, Problem 167PChapter 14, Problem 1CPChapter 14, Problem 35EPChapter 14, Problem 36EPChapter 14, Problem 41PChapter 14, Problem 47EPChapter 14, Problem 55EPChapter 14, Problem 56EPChapter 14, Problem 57EPChapter 14, Problem 61PChapter 14, Problem 62PGiven information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The number of rotations of centrifugal pump is 750 rpm. The inlet radius is 12 cm...Given information: The diameter of the turbine A is 1.50 mand the number of rotation for the turbine...Chapter 14, Problem 123PChapter 15, Problem 1CP
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