1: Consider a 2 cm diameter jet of water directed at 90 degrees to a flat plate with a jet velocity of 40 m/s. If all the water is ejected parallel to the plate and uniformly in all directions, what is the force imparted to the plate? The pressure of the flow can be assumed to be equal to ambient atmospheric pressure.

1: Consider a 2 cm diameter jet of water directed at 90 degrees to a flat plate with a jet velocity of 40 m/s. If all the water is ejected parallel to the plate and uniformly in all directions, what is the force imparted to the plate? The pressure of the flow can be assumed to be equal to ambient atmospheric pressure.

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

Similar questions

A 250-mm diameter jet of water discharging at the rate of 491 liters per second impinges normally on a flat metal plate. If the jet strikes a series of flat plates moving at 4m/s in the same direction as the jet, find the work done on the plates
Find the force exerted by a jet of water of diameter 75 mm on a stationary flat plate, when the jet strikes the plate normally with velocity of 20 m/s.
The entrance flow between two parallel plates (gap h) has a velocity that varies linearly at the entrance and develops into a fully parabolic profile at the exit. What is the relationship between the maximum velocity at the entrance and that at the exit? You can show by symmetry that the maximum velocity is attained at the mid-plane between the two plates.
An 8-cm-diameter horizontal water jet having a velocity of 35 m/s strikes a vertical stationary flat plate. The water splatters in all directions in the plane of the plate. How much force is required to hold the plate against the water stream?
A water jet of diameter 20 mm is striking on a flat plate with a flow rate of 5 L/s. Determine the force exerted by the jet on plate.
Ex (3): Consider the flow of water between two vertical parallel plates at 30 degrees Celsius. The distance between the plates, 2B, is small in comparison to the plates' length (l) and width (w). The plate on the left side is fixed, while the plate on the right is rising upward at a tiny velocity U. Given the length of the plates, the flow of water between them is considered to be laminar and fully developed. Find the shear stress profile of the flowing water using shell momentum balance method and sketch the profiles.
A very popular toy on the market several years ago was the water rocket. Water (at 10°C) was loaded into a plastic rocket and pressurized with a hand pump. The rocket was released and would travel a considerable distance in the air. Assume that a water rocket has a mass of 50 g and is charged with 100 g of water. The pressure inside the rocket is 100 kPa gage. The exit area is one-tenth of the chamber crosssectional area. The inside diameter of the rocket is 5 cm. Assume that Bernoulli's equation is valid for the water flow inside the rocket. Neglecting air friction, calculate the maximum velocity it will attain. 5 cm PROBLEM 6.90 100 kPa
Answer the following questions: a. Air lows past an object and exits as a free jet as shown in the figure. Because of the obstruction, the exit velocity is non-uniform with magnitude of 4 m/s from r = 0 to r=0.5 m and 12 m/s from r = 0.5 m/s to r = 1.0 m. It is initially calculated that the average velocity is 10 m/s, using a differential area, dA=2rrdr, what is the value of the momentum correction factor, B? 2-m-dia. a Air Wake 1-m dia. Exit -4 m/s -12 m/s b. A hydraulic turbine has 85 m of head available at a flow rate of 250 L/s. If the fluid is water and the turbine's overall efficiency is 78%, what is the mechanical power, in kW, it extracts from the water?
A very popular toy on the market several years ago was the water rocket. Water (at 10°C) was loaded into a plastic rocket and pressurized with a hand pump. The rocket was released and would travel a considerable distance in the air. Assume that a water rocket has a mass of 50g and is charged with 100g of water. The pressure inside the rocket is 100kPa gage. The exit area is one-tenth of the chamber cross-sectional area. The inside diameter of the rocket is 5cm. Assume that Bernoulli’s equation is valid for the water flow inside the rocket. Neglecting air friction calculate the maximum velocity it will attain.
Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown. The weight of the pipe is 350 N and the pipe cross-sectional area is constant and equals to 0.35 m^2. The magnitude of the inlet velocity is 4 m/s. The absolute pressures at the entrance and exit of the bend are 210 kPa and 110 kPa, respectively. Assuming the atmospheric pressure is 100 kPa and neglecting the weight and viscosity of the water , find the following: A)If the area of section 2 is doubled, then the velocity will be halved but the momentum flux will still be the same: ture or false ?
Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown. The weight of the pipe is 350 N and the pipe cross-sectional area is constant and equals to 0.35 m^2. The magnitude of the inlet velocity is 4 m/s. The absolute pressures at the entrance and exit of the bend are 210 kPa and 110 kPa, respectively. Assuming the atmospheric pressure is 100 kPa and neglecting the weight and viscosity of the water , find the following: A)The force (in the x-axis direction) acting on the fluid? B)The force (in the z-axis direction) acting on the pipe? C)The reaction force in the y direction ?
Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown. The weight of the pipe is 350 N and the pipe cross-sectional area is constant and equals to 0.35 m^2. The magnitude of the inlet velocity is 4 m/s. The absolute pressures at the entrance and exit of the bend are 210 kPa and 110 kPa, respectively. Assuming the atmospheric pressure is 100 kPa and neglecting the weight and viscosity of the water , find the following: