Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

All problems in the tasks must be completed correctly with sufficient detail

Task 1

Analyse engineering problems and formulate mathematical model using first order differential equations

1. Heated object is allowed to cool in the room temperature that has the constant temperature of T0:

a. Analyse cooling process

b. Formulate mathematical model for the cooling process.

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

a. Analyse tank leaking process.

b. Formulate mathematical model for leaking process.

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

Task 2

Solve first order differential equations using analytical and numerical methods.

3. Find solution of the following equations:

a.   di/dt  =t(2-5i), i(0)=10

b.     t2(dq/dt) +tq=2

4. Utilize the Euler method with step size shown to advance four steps from given initial condition with given differential equation

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

Task 3

Analyse engineering problems and formulate mathematical model using second order differential equations.

5. For simple model of a shock observer shown in figure below:

a. Analyse the model, vertical motion of the mass.

b. Formulate the mathematical model of given model

2257_Mathematical model.jpg

Task 4

Solve second order homogeneous and non- homogenous differential equations.

6. Find general solutions of the following equations:

i. d2y/dx2+dy/dx-2y=0

ii. d2y/dx2 + 9y=0

7. Find general solutions of the following equation that satisfy given initial conditions.

d2q/dt2 + dq/dt+q= t2-1

q(0)=0 ,  dq/dt=0,   t=0

Task 5

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

8. Velocity v of the rocket attempting to escape from the earth’s gravitational field is given by:

v(dv/dr)= -g(R2/r2)

Where:

r is its distance from the centre of the earth and

R is a mean radius of the earth

Determine the formula for V(r) and find the minimum launch velocity V0 in order that the rocket escapes.

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M91536

Have any Question? 


Related Questions in Electrical & Electronics

1 in logisim implement an 8-to-1 mux using 2 4-to-1 muxes

1. In Logisim implement an 8-to-1 MUX using 2 4-to-1 MUXes and a 2-to-1 MUX. 2. In Logisim implement an 8-to-1 MUX using 4 2-to-1 MUXes and a 4-to-1 MUX. 3. In Logisim implement a circuit similar to the one in figure 8-1 ...

1 a 16-scale model of a torpedo is tested in a water tunnel

1. A 1/6-scale model of a torpedo is tested in a water tunnel to determine drag characteristics. What model velocity corresponds to a torpedo velocity of 20 knots? If the model resistance is 10 lb, what is the prototype ...

A determine the magnitude of the x and y components of the

(a) Determine the magnitude of the x and y components of the force exerted on the fixed blade shown by a 3-ft 3  /s jet of water flowing at 25 fps. (b) If the blade is moving to the right at 15 fps, find the magnitude an ...

Using the definition compute the bilateral laplace

Using the definition, compute the bilateral Laplace transform, including the region of convergence (ROC), of the following complexvalued functions:

Charge is distributed uniformly with density within a

Charge is distributed uniformly with density within a spherical volume of radius a m and having its center at the origin. Using Gauss' law for the electric field, find the electric field intensity both inside and outside ...

The size d of droplets produced by a liquid spray nozzle is

The size d of droplets produced by a liquid spray nozzle is thought to depend upon the nozzle diameter D, jet velocity V, and the properties of the liquid ρ, μ, and σ. Rewrite the relation in dimensionless form. Take D, ...

1 what is a divergence meter how does it help visualize the

1. What is a divergence meter? How does it help visualize the behavior of the divergence of a vector field? 2. Provide two examples of physical phenomena in which the divergence of a vector field is nonzero. 3. State the ...

1 describe briefly your concept of a scalar field and

1. Describe briefly your concept of a scalar field and illustrate with an example. 2. Describe briefly your concept of a vector field and illustrate with an example. 3. How do you depict pictorially the gravitational fie ...

Projecta cyclolron is an electrically - powered device that

Project A cyclolron is an electrically - powered device that is used to accelerate particles, specifically using both Electrostatic fields and Magneto static fields to accelerate charged particles outwards from a center ...

Diode circuits1 the 6v zener diode below has zero zener

Diode Circuits 1. The 6V zener diode below has zero Zener resistance and a knee current of 5mA.The minimum value of R, so that the voltage across it does not fall below 6V is 2.A zener diode in the circuit shown in below ...

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen