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# Fluid Mechanics

### A solid copper ball with a diameter of 3.0000m at sea level is placed on the bottom of the ocean, at a depth of 10.0km.

4. A solid copper ball with a diameter of 3.0000m at sea level is placed on the bottom of the ocean, at a depth of 10.0km. If the density of sea water is 1.03 x 103 kgm"3, how much does the diameter of the ball decrease when it reaches the bottom? The bulk modulus of copper is 14 x 1010Pa.

### Calculating Stream Flow in a Watershed

Following the stream cross section (ft2) and the stream velocity (ft/sec) allows us to calculate the stream flow (ft3/sec). The watershed runoff during a storm is 3.5 ft. high and flows in 18 ft. wide channel. The velocity is measured at 1.2 feet per second (fps). What is the flow rate of the water in cubic feet per second?

### Reactions on a pipeline

Please see attached file for full problem description.

### volumetric flowrate

A 7cm pipe gradually narrows to 3cm. When freshwater density 1000kg/m3 flows through the pipe constriction the pressure drops from 32kN/m2 to 20 kN/m2. What is the volumetric flowrate in m3/s?

### Four problems on mechanics.

Please see attached file for full problem description. #16 A 58-kg skier is going down a slope oriented 35° above the horizontal. The area of each ski in contact with the snow is 0.13 m2? Determine the pressure that each ski exerts on the snow. #22 Measured along the surface of the water, a rectangular swimming pool has

### Probability, Probability Density, and Expectation Value

Please explain the differences (i.e. what does each measure) between: probability probability density expectation value

### Flow Velocity, Pressure, Buoyancy, Buoyant Force, Lift and Drag

A pipeline has an entrance diameter of of 2 ft. and an exit diameter of 1 ft. Water flows into the entrance of the pipe at 100 ft/sec. The pressure at the entrance is 200 lb/ft2. Find the velocity and pressure at the exit. (Assume that there is no friction). A buoyant object is submerged in water. The buoyant force is measu

### Head-box issues in Pulp Mill : Theoretical Modelling Question

The process in question uses a centrifugal fan pump to convey a 1000 gallon per minute flow containing 2% finely ground wood pulp to a head box...which in turn is supposed to ocnvert turbulent flow to laminar flow and then deposit the water & pulp slurry on a high speed moving wire in order to form a wet fiber mat. However, t

### Simple Fluid Mechanics: Liquid between two plates

You have a liquid sitting between 2 plates. A shear stress is applied to the top plate causing it to move. (the bottom plate is rigid) This fluid has a yield stress (ty) bellow which it will not move. Assume that the liquid, where in contact with the plate, moves at the same velocity as the plate. Also assume that the fluid h

### Pressure at a point in a horizontal tube

Water is flowing in a horizontal tube. The pressure at a point is 0.01 m of Hg at which the velocity is 0.6 m/s. What is the pressure at a point where the velocity is 0.8 m/s ?

### Aerodynamic lift in fluid dynamics

A small plane, having a mass of 3000 kg, is flying in air of density 1.0 kg/m^3. Air moves over the top and bottom surfaces of the wings at 160 m/s and 130 m/s, respectively. What is the net minimum wing area needed?

### Fluid Dynamic and Flow Rate

A horizontal water main with a cross-sectional area of 200 cm^2 necks down to a pipe of area 50 cm^2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 80 kPa. Determine the flow rate through the system, taking the fluid to be ideal.

### Friction, Drag Force, and Heat Transfer

Air at 22C and at pressure of 120 kPa is flowing over a flat plate with a velocity of 4.5 m/s. If the plate is 50 cm wide and the surface in contact with the air is at 82C, calculate the following quantities at x = 42 cm: (a) the local friction coefficient; (b) the average friction coefficient; (c) the drag force; (d) the local

### zero pressure of the gauge on an air tank deep in the ocean

A diver is 10m down in the ocean and the pressure gauge on an air tank reads 75kPa. At what depth will the gauge pressure read zero? What does this mean?

### Fluid mechanics lab-experiment

Included are my labs sheets, data I calculated, and a poor sketch of a graph at this stage. On page 52 would someone please help me to answer all the questions and the one pertaining to my graph? See attached file for full problem description.

### Elastic Moduli and Pascal's Principle and Fluid Dynamics

Question 1: A bimetallic rod is composed of brass and copper. a. If the rod is subjected to a compressive force, will the rod bend toward the brass or the copper? Why? b. Justify your answer mathematically if the compressive force is 5.00 X 104 N. Question 2: A water dispenser for pets has an inverted plastic bottle. When a

### Problems on kinematics, Newton's Laws, work, energy, fluid mechanics, heat and thermodynamics

1) A person paddling a canoe travels five miles down a canal and then seven miles up the canal. a) How far did the person travel? b) What is his final displacement? 2) A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00sec, 3.30sec, 4.30sec a) Plot the pos

### PSI Converted to kPa for Tire Pressure

An automobile tire is properly inflated at a pressure of 32.0 psi. What is its pressure expressed in kPa?

### Pressures on the Bottom of a Swimming Pool at Opposite Ends

A swimming pool is 50 meters long by 23 meters wide and is lees deep at one end than at the other. The depth at the shallow end is 1.22 meters, and the depth at the deep end is 4.35 meters. The slope is continuous (smooth) from one end to the other. What is the difference in pressure on the bottom at opposite ends of the pool?

### Water pressure at the base of Hoover Dam

At the base of the Hoover Dam on the Colorado River, the depth of the water is 726 ft. What is the pressure at the base of the dam? Neglect the pressure due to the atmosphere. I believe the answer is 2.17 MPa.

### Center of Mass..

A bar balances 30.0 cm from one end. When a 0.75 kg mass is hung from that end, the balance point moves 8.0 cm toward that end. What is the mass of the bar?

### Similitude Test and Dimensional Analysis

We are designing a new type of racing boat hull. In the model tests in a towing basin we will use a model one-tenth the size of the actual boat. See attached file for full problem description.

### Questions of Fluid Mechanics

A sailboat is moving in the "y" direction. The wind approaches the boat at an angle of 45 degrees to the "y" direction and is turned by the sails such that it leaves in exactly the minus "y" direction. A) If we assume that the average velocity of the incoming and outgoing wind is 10 m/s and that the mass flow rate of air being

### Fluid Mechanics for a U-band

(See attached file for full problem description) The pipe U-band in the figure attached is connected to a flow system by flexible hoses that transmit no force. The pupse has inner diameter of 3 inches. Water is flowing through the pipe at a rate of 600 gallons/minute. The pressure at point 1 is 5 psig and at point 2 is 3 psig

### Determining the weight of an automobile

The four tires of an automobile are inflated to a gauge pressure of 2.17e+5 Pa. Each tire has an area of 0.0271 m^2 in contact with the ground. Determine the weight of the automobile.

### Fluid dynamics: finding pressure

(See attached file for full problem description with diagram) --- A closed tank full of a fluid of sp gr. 1.3 is accelerated downward at 2/3g and to the right at 1g. The dimensions of the tank are L=2.5m and H = 3m The tank is labeled as follows: Upper Left corner =D, Upper Right Corner =A , Lower Right Corner = B, Lower Left

### Fluid Dynamics and Forces

A vane on the moving cart deflects a 10 cm jet of water as shown. The initial speed of the water jet is 20 m/s and the cart moves at 3 m/s. The vane splits the jet evenly (1/2 at 45º and 1/2 at 90º) What forces are exerted on the vane by the jet? (See attached file for full problem description with diagram)

### Siphon and Fluid Mechanics

A=30m, B=32m, C=27m, D = 26m The fluid is Water. Given the siphon system above; the head loss between the inlet and point B (highest point) is ¾ of the velocity head. The head loss in the pipe itself between B and the end of the pipe is ¼ of the velocity head. The pipe diameter is 25cm and alpha= 1. Find: 1. The dischar

### Fluid Dynamics in Closed Tank

A closed tank full of a fluid of sp gr. 1.3 is accelerated downward at 2/3g and to the right at 1g. The dimensions of the tank are L=2.5m and H = 3m The tank is labeled as follows: Upper Left corner =D, Upper Right Corner =A , Lower Right Corner = B, Lower Left Corner = C. (See attachment for diagram). Find a) The pressure at

### Mechanical Engineering Problem Sets

See attached file for full problem description. 1) The horizontal bar represented in figure is acted upon by the four vertical forces f1,f2,f3, and f4, whose location and characteristics are shown. Calculate the horizontal distance from point O at the base of F4 and horizontal line to the line of action of the resultant of t