**Problem 4.** A cork ball \((SG = 0.21)\) with a diameter of \(D = 0.30 \, m\) is tied to an object on the bottom of a river as shown. (a) For an angle of \(\beta = 30^\circ\), estimate the speed of the river current neglecting the weight of the cable and the drag on it.(b) Briefly discuss how the angle changes for a range of speeds from 0.4 m/s to 10 m/s.**Diagram Explanation:**The diagram shows a cork ball submerged in water, attached to the riverbed by a cable. The cable is at an angle \(\beta\) from the horizontal plane, with \(\beta\) being depicted as \(30^\circ\). The direction of the river current is represented by an arrow labeled \(U\), pointing to the right. The setup suggests analyzing the forces and conditions that determine the ball's angle and position in response to varying current speeds.

Answered: Image /qna-images/answer/05eb004e-5b03-4ebb-a3fa-caa768b978dd.jpg

Problem 4. A cork ball (SG = 0.21) with a diameter of D = 0.30 m is tied to an object on the bottom of a river as shown. (a) For an angle of 3 = 30°, estimate the speed of the river current neglecting the weight of the cable and the drag on it. (b) Briefly discuss how the angle changes for a range of speeds from 0.4 m/s to 10 m/s. U

Problem 4. A cork ball (SG = 0.21) with a diameter of D = 0.30 m is tied to an object on the bottom of a river as shown. (a) For an angle of 3 = 30°, estimate the speed of the river current neglecting the weight of the cable and the drag on it. (b) Briefly discuss how the angle changes for a range of speeds from 0.4 m/s to 10 m/s. U

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Change the number of cells per X and Y, see figure 2.16b, for the laminar boundary layer and plot…

A: First, we need to change the number of cells per X and Y in the computational grid for the laminar…

Q: Comment and explain the L/D ratio for the two shapes

A: The symmetric airfoil with a great lift to drag proportion is utilized for an aircraft wing,…

Q: schematic of wind blowing on a traffic barrier drum (A 55-gallon drum painted orange). Estimate the…

A: Draw the free-body diagram of the system.

Q: d = 1.49 kg/m-s. For steel, take p≈ 7800 kg/m³.

A: To determine the constant fall velocity of the steel sphere in glycerin using the modified…

Q: Air at 20 °C flows at V = 10 m/s over a flat plate of length L= 1.52 m and width W = 2 m. Calculate…

Q: (c) the sign is rotated by 90 degrees (so that it is 3 m high and 1 m wide) and the wind is parallel…

A: Solution: Given Data: V=15 mph To Find:

Q: 9. The thin ( 3 mm ) thick plastic panel shown in the figure is lowered from a ship to a…

Q: a)What is the impact of increasing Reynolds number on skin friction and pressure drags over an…

A: (a) The pressure drag is directly proportional to the skin coefficient. thus, pressure drag is…

Q: Cd=1.4 (coefficient of drag) ¥=10 ft/sec (velocity) Ƴ=62.4 #/ft3 g=32.3 ft/sec2 a. What is the…

A: givencoefficient of drag CD=1.4velocity of water V=10ft/sdensity of water γ=62.4 lb/ft3g=32.3…

Q: Q1: Find the boundary layer thickness (8) equation, the shear stress (to) and the coefficient of…

Q: Air at 15 °C flows at V = 5 m/s over a flat plate of length L= 6 m and width W = 2 m. Calculate the…

A: T0=15°C v=5 msecL=6 m w=2 m Surface of plate is smooth ρ=1.225 kgm3 and μ=1.81×10-5 Kgm-sec at…

Q: an angl ng in a w ing attacl is incline

Q: 7.33. These phenomena are observed in a laboratory channel 1 m wide, and the indicated measurements…

Q: A surface buoy is located in 180 ft of water and is moored with a wire rope weighing 3 lb/ft. The…

Q: 7. Calculate the minimum radius of curvature in the steady turn for a single-engined jet aircraft,…

A: Write the expression of minimum radius of curvature in the steady turn for a single-engined jet…

Q: Assume the gross weight of the airplane is 600 lbs, what would be a reasonable estimate of its wing…

A: given data; Assume the gross weight of the airplane is 600 lbs, what would be a reasonable estimate…

Q: Q1: Find the boundary layer thickness (8) equation, the shear stress (to) and the coefficient of…

Q: 5- A river barge which is 50 m long and 12 m wide has flat bottom; therefore, its resistance is…

A: Given Data: The length of the barge is, L=50 m. The width of the barge is, W=12 m. The speed of the…

Q: A large transport aircraft shown below whose gross weight is 100,000 lb. The airplane pitching mass…

Q: A smooth aluminum sphere hangs in air on a 0.5 m-long cable. The sphere has a diameter of 10 cm and…

A: (a) To find: The magnitude of drag force. Given: The weight of the sphere is W=1.5 N. The radius of…

Q: Liquid flows tangentially past a flat plate. The fluid properties are u=10° N.S/m² and p=1.5 kg/m³.…

Q: Explain briefly what is meant by drag and its form.

A: Drag is the force that opposes the motion of the aircraft through the air. It is generated by the…

Q: A Savonius rotor can be approximatedby the two open half-tubes in Fig mounted ona central axis. If…

A: Let, Ω = Rotation rate U = Velocity of fluid D = Diameter of half-tube L = Length of half-tube ρ =…

Q: Aircraft flying at an altitude of (3 Km ) with a velocity of (100 m/sec). The planform area of the…

Q: Problem 3. A tractor-trailer rig has a frontal area of A = 102 ft² and drag coefficient Cp = 0.9.…

A: Data given- frontal area A = 102 ft2 Drag coefficient cD = 0.9 Tractor weight W= 72000 lbf Rolling…

Q: The air with temperature T. 20°C, speed U. = 20 m/s flows over the plate with length L = 1 m, width…

Q: A thin aerofoil of chord length 1 m, with small angle of attack flying at a speed of 111 m/s is…

Q: The large, newly planted tree shown in the figure below is kept from tipping over in a wind by use…

Q: A flat thin plate 0.25 m² area moves through the oil at a velocity of 0.3 m / s. Calculate the drag…

Q: 6- A uniform free stream of air at 0.8 m/s flows over a flat plate (4 m long x 1 m wide). Assuming…

A: The drag force on a flat plate can be determined as, For the laminar flow the drag coefficient can…

Q: Problem 2 The Stokes-Oseen formula for drag on a sphere at low velocity Vis: F = 3πμDV + (9/16)πρVD?…

Q: A marine vehicle tows a hollow cylinder of 760 mm diameter and 5.5 m length. The cylinder is fully…

A: Given: The speed of marine vehicle, v = 6 knot = 3.086 m/s The diameter of cylinder, d = 760 mm The…

Q: 04) Define the boundary layer, then find the thickness of boundary layer, shear stress, drag force…

A: A thin layer of a moving gas or liquid in contact with a surface, such as an aeroplane wing or the…

Q: 5.2 A 20,000 kg jet aircraft is flying at sea level with 4° of angle of attack. Determine how much…

A: To determine:The drag and lift produced by aircraft.given: the mass of an aircraft is The angle of…

Q: A sheet of plastic material 0.375" thick, with specific gravity 1.5, is dropped into a large tank…

A: Buoyancy force: When an object is placed in a fluid fully or half placed, then the force exerted by…

Q: 3( y 28 force on the rear half portion of the plate. (p = 1.2 kg/m; v= 1.51×10* m/s) u Find the…

Q: of any fuel carried by the airplane. The maximum lift coefficient, with flaps fully em ployed at…

Q: Problem 1. What is the Ekman transport driven by a westerly wind of 9 m/s? The geographic latitude…

A: Given data as per questionSpeed of wind=9m/sGeographic latitude=35°NorthDensity of sea water,…

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

**Problem 4.** A cork ball \((SG = 0.21)\) with a diameter of \(D = 0.30 \, m\) is tied to an object on the bottom of a river as shown.

(a) For an angle of \(\beta = 30^\circ\), estimate the speed of the river current neglecting the weight of the cable and the drag on it.

(b) Briefly discuss how the angle changes for a range of speeds from 0.4 m/s to 10 m/s.

**Diagram Explanation:**

The diagram shows a cork ball submerged in water, attached to the riverbed by a cable. The cable is at an angle \(\beta\) from the horizontal plane, with \(\beta\) being depicted as \(30^\circ\). The direction of the river current is represented by an arrow labeled \(U\), pointing to the right. The setup suggests analyzing the forces and conditions that determine the ball's angle and position in response to varying current speeds.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

If the pressure difference in the wind tunnel experiment is 50 mmH,0, the density of air is 1.2 kg/m in wind tunnel experiment, and the airfoil span is 204 mm, and the cord length is 98 mm, what is the lift coefficient if the lift force is L=13.4 N
Calculate the lift and drag of the wing (full span) shown below (half span) if it is flying at 25000 ft. with an airspeed of 260 ft/s with a wing span of 30ft. Let Cl = 0.98 and Cd= 0.064. English system not metric.
A smooth square billboard 5 × 5 m² is place on a roof of a tall building. In orienting the billboard, the engineer is considering the wind direction for two possible cases: (a) the wind is parallel to the board (b) the wind is perpendicular to the board. Assuming maximum wind velocity of 10 m/s, what will be the force acting on the billboard in each of the cases considered? (Use u = 1.85 x 10-5 kg/m – s; p= 1.225 kg/m³; Recr = 500,000) %3D
P6.31 (a) A luxury sports car has a frontal area of 2.08 m? and a 0.29 coefficient of drag at 95 km/h. What is the drag force on the vehicle at this speed? (b) A sport-utility vehicle has Cp = 0.45 at 95 km/h and a slightly larger frontal area of 2.70 m?. What is the drag force in this case?
8. A flat plate ( 1.5 m ) long and ( 1.5 m) wide is towed in water ( p = 1000 kg/m and v=1.31 * 10 “ m / s) in the direction of its length at a speed of ( 20 cm /s). Determine; a) The skin frictional drag force on both sides of the plate. b) The boundary layer thickness at the end of the plate.
B2 is flying at an altitude of 43,000 ft and a speed of 400 KTAS under standard atmospheric conditions. If the average aerodynamic chord is 39,6 ft, calculate the Reynolds number and the average % aerodynamic chord present on the wing
A block, as shown below, is sliding on a thin horizontal layer of water (u = 1.68 x 103 kg/m.s) between ice and the block with a speed of 13 m/s. The thickness of the water layer is 3.32 x 10-5 m. Given the following dimensions of the block, what is the force (F) required to maintain this movement? A = 9 cm B = 9 cm C= 8 cm B 2.96 N 5.33 N 4.14 N 4.74 N
Parvin bhai
Assume the stabilizer of an airplane is a flat plate. If the transition /critical RN 750,000, what is the skin-friction drag of a rectangular stabilizer having a span of 1.73 m and a chord of 0.81 m at a speed of 44.7 meters per second? Assume standard sea level conditions.-round off to 4 decimal places-show complete solution