Using Newton's 2nd law (F = ma) and fundamental of fluid mechanics concepts, a) Write the force balance equations for the differential element. b) Derive the fluid statics equation VP+pg = - pa c) Calculate the gage pressure at a point 1m below the surface inside a tank filled with water if the tank is 1) at rest, 2) freely falling, 3) accelerating upward (against gravity) with 10m/s^2. √8 Ꮲ dz (p+Pd) d az pg dx dy dz P(x, y, z) dy dx (p_³P dz) az 2 dx dy Given P-pressure, p-density, a-acceleration, g=acceleration ə ə→ j + k. Show allf дz dx the important steps (assumptions, arithmetic/algebraic manipulations, etc.) as discussed in the class. Assume acceleration due to gravity = 10m/s^2. dz dx dy due to gravity, and 7 = it a → dy

Using Newton's 2nd law (F = ma) and fundamental of fluid mechanics concepts, a) Write the force balance equations for the differential element. b) Derive the fluid statics equation VP+pg = - pa c) Calculate the gage pressure at a point 1m below the surface inside a tank filled with water if the tank is 1) at rest, 2) freely falling, 3) accelerating upward (against gravity) with 10m/s^2. √8 Ꮲ dz (p+Pd) d az pg dx dy dz P(x, y, z) dy dx (p_³P dz) az 2 dx dy Given P-pressure, p-density, a-acceleration, g=acceleration ə ə→ j + k. Show allf дz dx the important steps (assumptions, arithmetic/algebraic manipulations, etc.) as discussed in the class. Assume acceleration due to gravity = 10m/s^2. dz dx dy due to gravity, and 7 = it a → dy

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

%or l. ln. . o [Template] exami.. -> Ministry of Higher Education & Scientific Research Tikrit University College of Engineering Mechanical Engineering Dept. Class : 2nd year Subject: Principles of Fluid Mechanics Time: 1:15 hrs Date: 11/3 / 2021 Final Exam 2020-2021 Q1:-The gate AB as shown in fig.1 has long 1 m and wide 0.9 m .Find the force Fon The gate AB and also find the centre of pressure X 8 m 3 m Oil S-0.81 7 m Fig.1 Q2:- A wood cone floats in water in the position shown in fig.2.The specific gravity of the wood is 0.6.Would it be stable? D7m Fig.2 Water By Asst.Prof.Dr.Muhammad A.Eleiwi II >
The moment of the torpedo control unit in water was tested with a 1:8 scale scale model in a water tunnel of identical properties with a speed of 20 m/s if the measured moment in the model was 14 Nm. calculate 1) Determine the velocity of the prototype using the Reynolds number analogy. 2) Find the ratio of the forces occurring in the model and prototype. Using the analogy of Euler number 3) find the moment that occurred with the prototype.
Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…
A::V Gmail > A docs.google.com EE Q 3: A tank filled with oil,lf the total weight is(2 KN) and weight of tank only is (200 N) and volume of the tank is (190 L) , Find : Mass density ,specific weight ,specific gravity ,specific volume for the oil. 0.947 KN/m3,9.6534 kg/m3 , 0.01035 m3/kg , 9.65 94.7 KN/m3 ,96.534 kg/m3 , 0.01035 m3/kg , 1.965 9.47 KN/m3 ,965.34 kg/m3 , 0.01035 m3/kg , 0.965 Page 2 of 2 Back Submit Never submit passwords through Google Forms. This form was created inside of Mustansiriyah University. Report Abuse Google Forms
Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?
Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael Swanbom
24. Fluid A is H20 (PH2O = 62.1 lbm/ft) while fluid B is mercury (Phg = 0.488 lbm/in), compute the height z if the pressure at x is 5.4 psi vacuum, the distance y = (4- 0.5 z) ft and local acceleration of gravity is standard. %3D Open Fluid A Fluid B 米-
fluıd mechanıcs Values for a fluid flowing in a circular pipe are given in the table.a) by writing Newton's law of viscosity,b) Determine the flow behavior of the fluids, show on the graph that they obey the Newtonian or non-Newtonian flow behavior. Calculate the dynamic viscosity values on the graph.c) If the viscosity of the liquid is 0.121 g/cm3, calculate the kinematic viscosity and convert it to the English Unit system.
B) Compare between Two of the following 1- Open System and close system. 2- Otto cycle and Air-Standard cycle 3- Energy transfer by work and Energy transfer by Heal c) Find the dimensions of viscosity u. Write the dimensional formula of Force in the (FLT) rather than (MLT) systems.
Fluid Mechanics Problem: Note: F = ma to find initial (and constant) baseball deceleration. Find flight time of ball. Use projectile motion equations from physics course to find baseball velocity at home plate.
Using Newton's second law, the movement of a body in a viscous fluid can be modeled. For this case it will be a one-dimensional movement. ec.1) F -FR = ma F: Force applied to the body. FR: Resistance that opposes the fluid to the movement. m: body mass a: body acceleration For a sphere with initial radius R0 = 1 meter and density 8960 kg/m^3 to which a constant force of 3 Kilo Newtons is applied, it is requested: Using Euler's method, find the velocity as a function of time for the first 5 seconds of movement, considering that v(0) = 10 m/s. Use a 1 second step. For this case use: ec.2) FR = 210Rv R: Radius of the sphere. v: velocity Where, in addition, the sphere disintegrates as time passes in this fluid, so its radius is given by the following function: ec.3) R = R0*e^(-t/250)
Q2:A) An experimental text program is being set up to calibrate a new flow meter. The flow meter is to measure the mass flow rate of liquid flowing through a pipe. It is assume the mass flow rate (m) is a function of the pressure difference (AP)across the meter, diameter of the pipe (D), viscosity of the fluid (μ), and the density of the fluid (p). Using the dimensionless analysis, find the-groups for this case study.