Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

Task: Analyze engineering problems and formulate mathematical model using first order differential equations

problem: A heated object is allowed to cool in a room temperature which has a constant temperature of T0:

a) Analyze the cooling process
b) Formulate mathematical model for the cooling process.

problem: At time t = 0 water begins to leak from a tank of constant cross-sectional area A. The rate of outflow is proportional to h, the depth of water in the tank at time t. prepare the constant of proportion kA where k is constant.

a) Analyze the tank leaking process.
b) Formulate mathematical model for the leaking process.

prepare conclusions based on your formulated mathematical model for leaking process.

Task: Solve first order differential equations using analytical and numerical methods.

problem: Find the solution of the following equations:

195_differential equation.jpg

problem: Use the Euler method with the step size shown to advance four steps from the given initial condition with the given differential equation

dv/dt = 2t + V, V(0) = 1; h = 0.1

Task: Analyze engineering problems and formulate mathematical model using second order differential equations.

problem: For the simple model of a shock observer shown in figure below:

130_shock observer.jpg

a) Analyze the model, vertical motion of the mass.
b) Formulate mathematical model of the model.

Task: Solve second order homogeneous and non- homogenous differential equations.

problem: Find the general solutions of the following equations:

865_differential equation.jpg

problem: Find the general solutions of the following equation which satisfy the given initial conditions.

1959_differential equation.jpg

Task: Apply first and second order differential equations to the solution of engineering situations

problem: The velocity v of a rocket attempting to escape from the earth’s gravitational field is given by:

506_differential equation.jpg

Where:

r is its distance from the centre of the earth and
R is the mean radius of the earth

Find a formula for V(r) and determine the minimum launch velocity V0 in order that the rocket escapes.

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M9114

Have any Question? 


Related Questions in Electrical & Electronics

1 distinguish between centralized and decentralized p2p

1. Distinguish between centralized and decentralized P2P networks. 2. What are the advantages and disadvantages of a centralized P2P network? 3. What are the advantages and disadvantages of a decentralized P2P network? 4 ...

A liquid of density rho flows through a sluice gate as

A liquid of density ρ flows through a sluice gate as shown. The upstream and downstream flows are uniform and parallel, so that the pressure variations at stations 1 and 2 may be considered hydrostatic. (a) Determine the ...

In problem find the rate of discharge if the frictional

In Problem , find the rate of discharge if the frictional head loss in the pipe is 3.2 v2 /g where v is the flow velocity in the pipe. Problem:- Referring to the figure, assume the flow to be frictionless in the siphon. ...

Consider a deformation of a rectangular bar whose deformed

Consider a deformation of a rectangular bar whose deformed geometry is given as x 1 = αX 1 , x 2 = βX 2 , x 3 = βX 3 When the material is an incompressible Mooney-Rivlin hyperelastic material with A 10  = 80 MPa and A 01 ...

1 what is an anisotropic dielectric material2 when can an

1. What is an anisotropic dielectric material? 2. When can an effective permittivity be defined for an anisotropic dielectric material? 3. Briefly describe the phenomenon of magnetization. 4. What is a magnetic dipole? H ...

1 what is the main difference between live audiovideo and

1. What is the main difference between live audio/video and real-time interactive audio/video? 2. When we use audio/video on demand, which of these three types of multimedia communication takes place: streaming stored au ...

1 what is the significance of a nonzero net right-lateral

1. What is the significance of a nonzero net right-lateral differential of and normal to the z-direction at a point in space? 2. If a pair of E and B at a point satisfies Faraday's law in differential form, does it neces ...

1 find the velocity with which the group of two frequencies

1. Find the velocity with which the group of two frequencies 2400 MHz and 2500 MHz travels in a parallel-plate waveguide of dimension a = 2.5 cm and having a perfect dielectric of 2. For a narrow-band amplitude modulated ...

Consider the complementary-bjt class b output stage and

Consider the complementary-BJT class B output stage and neglect the effects of finite VBE and VCEsat. For ±10-V power supplies and an 8 ohm load resistance, what is the maximum sine-wave output power available? What supp ...

Through a series of tests on pipe flow h darcy derived an

Through a series of tests on pipe flow, H. Darcy derived an equation for the friction loss in pipe flow as in which f is a dimensionless coefficient that depends on (a) the average velocity v of the pipe flow; (b) the pi ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro