Interested to Buy Any Domain ? << Click Here >> for more details...
DIFFERENTIAL EQUATIONS - EXAMPLE 20.2 : During the landing process of an airplane, the velocity is constant at v. (a) If the displacement of the plane is x at time t, find the differential equation that relates t, x and v. (b) The plane has 2 parts of wheels - the front and the back, separated by a distance L. The front part of the wheel touches the land first, that allows the straight body of the plane to form an angle T with the horizontal land. If the vertical distance between the back part of the wheel and the horizontal land is y, find the equation of y as a function of L and T. (c) Find the differential equation that relates dy as a function of dt, v and sin T. (d) Find the differential equation that consist of dy as a function of y, L, v and dt. (e) Find the equation of y as a function of v, L, t and C where C is a constant. (f) When t = 0, prove that y = exp C as the initial value of y.
- 1 Answers
- 2550 Views
- I also Faced
- E-Mail Answers
Answer Posted / kangchuentat
DIFFERENTIAL EQUATIONS - ANSWER 20.2 : (a) The kinematic relationship is dx = v dt. (b) The trigonometric relationship is sin T = y / L. (c) y = -vt sin T, then dy = -v dt sin T since y / x = sin T and x = -vt for y is decreased with an increasing x. (d) dy = -v dt sin T = -v dt (y / L) = -y (v / L) dt. (e) dy / y = (-v / L) dt. Integrate both sides of equation will produce ln y = -vt / L + C, then y = exp (-vt / L + C) = (exp C) exp (-vt / L). (f) When t = 0, y = (exp C) exp (-vt / L) = (exp C) exp (0) = exp C. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
| Is This Answer Correct ? | 0 Yes | 0 No |
Post New Answer View All Answers
What is the symbol of sodium?
Why is double the amount of gas collected in one of the test tubes in electrolysis of water than th amount collected in the other? Name this gas?
Explain the common failure mechanism for above ground atmospheric storage tanks?
What is happening when paint dries?
Explain how can you separate hydrogen peroxide into hydrogen and oxygen?
What is a good source of information for the design of pressure vessels?
Where barrel pump use?
Name some common problems associated with dense phase pneumatic conveying?
What is maximum recommended velocity for steam in a plant pipe network?
What is a good source of equations for calculating discharge flowrates from accidental releases?
What is the wet bulb globe temperature?
Why should chemical equation be balanced?
I will complete chemical engg next yr from a deemed university. Earlier I dropped 2 yrs after std 12th. Then I got 2 yr back while completing engg, due to reasons beyond my control. Will I face any problem while applying for job. More so not many core companies come to our collg for placement. So i want to know which all companies can I apply to get a job?
Hi.. Me going to tke test for management trainee(technical) Post I am an chemical engineering student . Can u guide how to prepare for this test.Can u send me test paper pattern..?
What is screen analysis and what are its applications in the chemical industry?
