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

Ohms law problemsquestion 1an alarm clock draws 05 a of

Ohm's Law Problems Question 1 An alarm clock draws 0.5 A of current when connected to a 120 volt circuit. Calculate its resistance. a) 150 ohms b) 120 ohms c) 60 ohms d) 240 ohms Question 2 If one 9 volt battery is used ...

Figure 3013 shows a router using priority queuing at the

Figure 30.13 shows a router using priority queuing at the input port. The arrival and required service times (transmission time is negligible) for 10 packets are shown below; ti means that the packet has arrived i ms aft ...

A causal n-point moving-average filter has impulse response

A causal N-point moving-average filter has impulse response h[n] = (u[n]-u[n-N])/N. a. Determine a constant coefficient difference equation that has impulse response h[n]. b. Write a MATLAB function that will compute the ...

1 the functional frequency n of a stretched string is a

1. The functional frequency n of a stretched string is a function of the string length L, its diameter D, the mass density r, and the applied tensile force T. Suggest a set of dimensionless parameters relating these vari ...

1 how would you use amperes circuital law in differential

1. How would you use Ampere's circuital law in differential form to find the magnetic field adjacent to the current sheet? 2. If the current density on the infinite plane current sheet of Figure 4.2 were directed in the ...

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, ...

Identify the variables associated with given problem and

Identify the variables associated with given Problem and find the dimensionless parameters. Problem The device in the schematic diagram below is a viscosity pump. It consists of a rotating drum inside of a stationary cas ...

1 complete the missing steps in the evaluation of the

1. Complete the missing steps in the evaluation of the integral in equation (9.39a). 2. Find the time-average power required to be radiated by a half-wave dipole in order to produce an electric field intensity of peak am ...

Discretize the continuous-time system with transfer

Discretize the continuous-time system with transfer function H(s) = (s + 10 )/s with use of the bilinear (Tustin) approximation method. Verify your result by converting the computed discrete-time system to continuous-tim ...

Consider a bar element as shown in the figure the

Consider a bar element as shown in the figure. The cross-sectional areas are A 1  and A 2  at nodes 1 and 2, respectively, and vary linearly. In addition, the gravitational acceleration is applied along the axial directi ...

  • 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