Problem 1P: An ice-cube tray containing 250 mL of freshwater at 15C is placed in a freezer at 5C. Determine the... Problem 2P: A hot air balloon with an initial volume of 2600 m3 rises from sea level to 1000 m elevation. The... Problem 3P: A fully loaded Boeing 777-200 jet transport aircraft has a mass of 325,000 kg. The pilot brings the... Problem 4P: On the Milford Trek in New Zealand, there is a pass with a cliff known as the 12 second drop for the... Problem 5P: A high school experiment consists of a block of mass 2 kg sliding across a surface (coefficient of... Problem 6P: For a small particle of styrofoam (density = 19.2 kg/m3) that is spherical with a diameter d = 1.0... Problem 7P: Air at 20C and an absolute pressure of 101.3 kpa is compressed adiabatically in a piston-cylinder... Problem 8P: A block of copper of mass 5 kg is heated to 90C and then plunged into an insulated container... Problem 9P: The average rate of heat loss from a person to the surroundings when not actively working is about... Problem 10P: The velocity field in the region shown is given by V=(aj+byk) where a = 10 m/s and b = 5 s1. For the... Problem 11P: The area shown shaded is in a flow where the velocity field is given by V=axi+buj+ck;a=b=2s1 and c =... Problem 12P: Obtain an expression for the kinetic energy flux, (V2/2)VdA, through cross section of the control... Problem 13P: A 0.3 m by 0.5 m rectangular air duct carries a flow of 0.45 m3/s at a density of 2 kg/m3. Calculate... Problem 14P: Across a shock wave in a gas flow there is a great change in gas density . If a shock wave occurs in... Problem 15P: Water flows in a pipeline composed of 75-mm and 150-mm pipe. Calculate the mean velocity in the... Problem 16P: The velocity distribution for laminar flow in a long circular tube of radius R is given by the... Problem 17P: A farmer is spraying a liquid through 10 nozzles, 3-mm-ID, at an average exit velocity of 3 m/s.... Problem 18P: A university laboratory that generates 15 m3/s of air flow at design condition wishes to build a... Problem 19P: Hydrogen is being pumped through a pipe system whose temperature is held at 273 K. At a section... Problem 20P: Calculate the mean velocities for these two-dimensional velocity profiles If c = 3 m/s. Problem 21P: If the velocity profile in a passage of width 2R is given by the equation /c = (y/R)1/n, derive an... Problem 22P: Fluid with 1040 kg/m3 density is flowing steadily through the rectangular box shown. Given A1 =... Problem 23P: A rice farmer needs to fill a 150 m 400 m field with water to a depth of 7.5 cm in 1 hr. How many... Problem 24P: In your kitchen, the sink is 60 cm by 45.7 cm. by 30.5 cm. deep. You are filling it with water at... Problem 25P: Fluid passes through this set of thin closely spaced blades. What flow rate q is required for the... Problem 26P: A pipeline 0.3 m in diameter divides at a Y into two branches 200 mm and 150 mm in diameter. If the... Problem 27P: A manifold pipe of 3 in. diameter has four openings in its walls spaced equally along the pipe and... Problem 28P: You are trying to pump storm water out of your basement during a storm. The pump can extract 27.5... Problem 29P: In the incompressible flow through the device shown, velocities may be considered uniform over the... Problem 30P: Water enters a wide, flat channel of height 2h with a uniform velocity of 2.5 m/s. At the channel... Problem 31P: Find the average efflux velocity V if the flow exits from a hole of area 1 m2 in the side of the... Problem 32P: Find V for this mushroom cap on a pipeline. P4.32 Problem 33P: Incompressible fluid flows steadily through a plane diverging channel. At the inlet, of height H,... Problem 34P: A two-dimensional reducing bend has a linear velocity profile at section . The flow is uniform at... Problem 35P: Water enters a two-dimensional, square channel of constant width, h = 75.5 mm, with uniform... Problem 36P: Viscous liquid from a circular tank. D = 300 mm in diameter, drains through a long circular tube of... Problem 37P: A rectangular tank used to supply water for a Reynolds flow experiment is 230 mm deep. Its width and... Problem 38P: A cylindrical tank, 0.3 m in diameter, drains through a hole in its bottom. At the instant when the... Problem 39P: Air enters a tank through an area of 0.018 m2 with a velocity of 4.6 m/s and a density of 15.5... Problem 40P: A cylindrical tank, of diameter D = 50 mm, drains through an opening, d = 5 mm., in the bottom of... Problem 41P: A conical flask contains water to height H = 36.8 mm, where the flask diameter is D = 29.4 mm. Water... Problem 42P: Water flows steadily past a porous flat plate. Constant suction is applied along the porous section.... Problem 43P: A tank of fixed volume contains brine with initial density, i, greater than water. Pure water enters... Problem 44P: A conical funnel of half-angle = 30 drains through a small hole of diameter d = 6.25 mm. at the... Problem 45P: Evaluate the net rate of flux of momentum out through the control surface of Problem 4.22. 4.22... Problem 46P: Water flows steadily through a pipe of length L and radius R = 75 mm. The velocity distribution... Problem 47P: Evaluate the net momentum flux through the bend of Problem 4.34, if the depth normal to the diagram... Problem 48P: Evaluate the net momentum flux through the channel of Problem 4.35. Would you expect the outlet... Problem 49P: A conical enlargement in a vertical pipeline is 5 ft long and enlarges the pipe diameter from 12 in.... Problem 50P: A 100-mm nozzle is bolted (with 6 bolts) to the flange of a 300-mm-diameter horizontal pipeline and... Problem 51P: The projectile partially fills the end of the 0.3 m pipe. Calculate the force required to hold the... Problem 52P: Considering that in the fully developed region of a pipe, the integral of the axial momentum is the... Problem 53P: A jet of water issuing from a stationary nozzle at 10 m/s(Aj = 0.1 m2) strikes a turning vane... Problem 54P: A circular cylinder inserted across a stream of flowing water deflects the stream through angle , as... Problem 55P: A 6-in.-diameter horizontal pipeline bends through 90 and while bending changes its diameter to 3... Problem 56P: The axes of the pipes are in a vertical plane. The flow rate is 2:83 m3/s of water. Calculate the... Problem 57P: Water flows through a tee in a horizontal pipe system. The velocity in the stem of the tee is 15... Problem 58P: In a laboratory experiment, the water flow rate is to be measured catching the water as it... Problem 59P: A gate is 1 m wide and 1.2 m tall and hinged at the bottom. On one side the gate holds back a... Problem 60P: Water flows steadily through a fire hose and nozzle. The hose is 75-mm-ID, and the nozzle tip is... Problem 61P: Two types of gasoline are blended by passing them through a horrzontal wye as shown. Calculate the... Problem 62P: A circular cylinder inserted across a stream of flowing water deflects the stream through angle , as... Problem 63P: The pressure difference results from head loss caused by eddies downstream from the orifice plate.... Problem 64P: Obtain expressions for the rate of change in mass of the control volume shown, as well as the... Problem 65P: Water is flowing steadily through the 180 elbow shown. At the inlet to the elbow the gage pressure... Problem 66P: Water flows steadily through the nozzle shown, discharging to atmosphere. Calculate the horizontal... Problem 67P: The pump, suction pipe, discharge pipe, and nozzle are all welded together as a single unit.... Problem 68P: The passage is 1.2 m wide normal to the paper. What will be the horizontal component of force... Problem 69P: If the two-dimensional flow rate through this sluice gate is 50 cfs/ft, calculate the horizontal and... Problem 70P: Assume the bend of Problem 4.35 is a segment of a larger channel and lies in a horizontal plane. The... Problem 71P: A flat plate orifice of 50 mm diameter is located at the end of a 100-mm-diameter pipe. Water flows... Problem 72P: At rated thrust, a liquid-fueled rocket motor consumes 80 kg/s of nitric acid as oxidizer and 32... Problem 73P: Flow from the end of a two-dimensional open channel is deflected vertically downward by the gate AB.... Problem 74P: Calculate the magnitude and direction of the vertical and horizontal components and the total force... Problem 75P: This water jet of 50 mm diameter moving at 30 m/s is divided in half by a splitter on the stationary... Problem 76P: If the splitter is removed from the plate of Problem 4.75 problem and sidewalls are provided on the... Problem 77P: Consider flow through the sudden expansion shown. If the flow is incompressible and friction is... Problem 78P: A conical spray head is shown. The fluid is water and the exit stream is uniform. Evaluate (a) the... Problem 79P: A curved nozzle assembly that discharges to the atmosphere is shown. The nozzle mass is 4.5 kg and... Problem 80P: The pump maintains a pressure of 10 psi at the gauge. The velocity leaving the nozzle is 34 ft/s.... Problem 81P: A motorboat moves up a river at a speed of 9 m/s relative to the land. The river flows at a velocity... Problem 82P: A 30 reducing elbow is shown. The fluid is water. Evaluate the components of force that must be... Problem 83P: A monotube boiler consists of a 6 m length of tubing with 9.5-mm-ID. Water enters at the rate of... Problem 84P: Water is discharged at a flow rate of 0.3m3/s from a narrow slot in a 200-mm-diameter pipe. The... Problem 85P: A nozzle for a spray system is designed to produce a flat radial sheet of water. The sheet leaves... Problem 86P: The horizontal velocity in the wake behind an object in an air stream of velocity U is given by... Problem 87P: An incompressible fluid flows steadily in the entrance region of a circular tube of radius R = 75... Problem 88P: Consider the incompressible flow of fluid in a boundary layer as depicted in Example 4.2. Show that... Problem 89P: Air at standard conditions flows along a flat plate. The undisturbed freestream speed is U0 = 20... Problem 90P: Gases leaving the propulsion nozzle of a rocket are modeled as flowing radially outward from a point... Problem 91P: Two large tanks containing water have small smoothly contoured orifices of equal area. A jet of... Problem 92P: Students are playing around with a water hose. When they point it straight up, the water jet just... Problem 93P: A 2-kg disk is constrained horizontally but is free to move vertically. The disk is struck from... Problem 94P: A stream of water from a 50-mm-diameter nozzle strikes a curved vane, as shown. A stagnation tube... Problem 95P: A plane nozzle discharges vertically 1200 L/s per unit width downward to atmosphere. The nozzle is... Problem 96P: In ancient Egypt, circular vessels filled with water sometimes were used as crude clocks. The... Problem 97P: Incompressible fluid of negligible viscosity is pumped at total volume flow rate Q through a porous... Problem 98P: The narrow gap between two closely spaced circular plates initially is filled with incompressible... Problem 99P: Design a clepsydra (Egyptian water clock), which is a vessel from which water drains by gravity... Problem 100P: Water from a stationary nozzle impinges on a moving vane with turning angle = 120. The vane moves... Problem 101P: A freshwater jet boat takes in water through side vents and ejects it through a nozzle of diameter D... Problem 102P: The Canadair CL-215T amphibious aircraft is specially designed to fight fires. It is the only... Problem 103P: Water, in a 100-mm-diameter jet with speed of 30 m/s to the right, is deflected by a cone that moves... Problem 104P: Consider a series of turning vanes struck by a continuous jet of water that leaves a 50-mm-diameter... Problem 105P: A steady jet of water is used to propel a small cart along a horizontal track as shown. Total... Problem 106P: The cart of Problem 4.105 is accelerated by a jet of water that strikes the curved vane. The cart... Problem 107P: A vane/slider assembly moves under the influence of a liquid jet as shown. The coefficient of... Problem 108P: A cart is propelled by a liquid jet issuing horizontally from a tank as shown. The track is... Problem 109P: For the vane/slider problem of Problem 4.107, find and plot expressions for the acceleration and... Problem 110P: If the cart of Problem 4.105 is released at t = 0, when would you expect the acceleration to be... Problem 111P: The wheeled cart shown rolls with negligible resistance. The cart is to accelerate to the right at a... Problem 112P: A rocket sled is to be slowed from an initial speed of 300 m/s by lowering a scoop into a water... Problem 113P: Starting from rest, the cart shown is propelled by a hydraulic catapult (liquid jet). The jet... Problem 114P: Solve Problem 4.107 if the vane and slider ride on a film of oil instead of sliding in contact with... Problem 115P: For the vane/slider problem of Problem 4.114, plot the acceleration, speed, and position of the... Problem 116P: A rectangular block of mass M, with vertical faces, rolls without resistance along a smooth... Problem 118P: A vertical jet of water impinges on a horizontal disk as shown. The disk assembly mass is 30 kg.... Problem 119P: A rocket sled traveling on a horizontal track is slowed by a retro-rocket fired in the direction of... Problem 120P: A rocket sled accelerates from rest on a level track with negligible air and rolling resistances.... Problem 121P: A rocket sled with initial mass of 900 kg is to be accelerated on a level track. The rocket motor... Problem 122P: A rocket sled with initial mass of 3 metric tons, including 1 ton of fuel, rests on a level section... Problem 123P: A home-made solid propellant rocket has an initial mass of 9 kg; 6.8 kg of this is fuel. The rocket... Problem 124P: Neglecting air resistance, what speed would a vertically directed rocket attain in 5 s if it starts... Problem 126P: The moving tank shown is to be slowed by lowering a scoop to pick up water from a trough. The... Problem 128P: The 90 reducing elbow of Example 4.6 discharges to atmosphere. Section is located 0.3 m to the... Problem 129P: Crude oil (SG = 0:95) from a tanker dock flows through a pipe of 0.25 m diameter in the... Problem 130P: The simplified lawn sprinkler shown rotates in the horizontal plane. At the center pivot, Q = 15... Problem 131P: Calculate the torque about the pipes centerline in the plane of the bolted flange that is caused by... Problem 132P: A fire truck is equipped with a 66 ft long extension ladder which is attached at a pivot and raised... Problem 133P: Calculate the torque exerted on the flange joint by the fluid flow as a function of the pump flow... Problem 134P: Consider the sprinkler of Problem 4.130 again. Derive a differential equation for the angular speed... Problem 137P: A small lawn sprinkler is shown. The sprinkler operates at a gage pressure of 140 kPa. The total... Problem 138P: When a garden hose is used to fill a bucket, water in the bucket may develop a swirling motion. Why... Problem 139P: A pipe branches symmetrically into two legs of length L, and the whole system rotates with angular... Problem 141P: Compressed air is stored in a pressure bottle with a volume of 100 L, at 500 kPa absolute and 20C.... Problem 142P: A turbine is supplied with 0.6 m3/s of water from a 0.3 m diameter pipe; the discharge pipe has a... Problem 143P: Air is drawn from the atmosphere into a turbomachine. At the exit, conditions are 500 kPa gage and... Problem 144P: At high speeds the compressor and turbine of the jet engine may be eliminated entirely. The result... Problem 145P: Transverse thrusters are used to make large ships fully maneuverable at low speeds without tugboat... Problem 146P: All major harbors are equipped with fire boats for extinguishing ship fires. A 75-mm-diameter hose... Problem 147P: A pump draws water from a reservoir through a 150-mm-diameter suction pipe and delivers it to a... Problem 148P: Liquid flowing at high speed in a wide, horizontal open channel under some conditions can undergo a... format_list_bulleted