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
- 2744 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
How can arsenic be removed from aqueous waste streams?
Why do we apply on iron articles?
Explain how instrument air is continually supplied in process plant?
Define pcbs?
hi sir/madam i need placement paper of last years of DRDO in chemical sream...... send me the question paper as soon as possible on my email address praveen.zone@gmail.com
Hi, This is Naveen, plz if anybody have experience of IOCL interview, send me question.
Are there any general rules for flushing slurry lines?
In a crusher where is the energy provided to it is used up for?
what is the purpose of capacitor? and capacitor load means what? how does it connect?
What is the most common carrier gas used in pneumatic conveying?
What is vapour flooding and liquid floodin in distillation?
send previousyear question paper for ongc gt 2011 chemical engineering written exam
What are some characteristics of bulk solids that can affect their ability to flow properly?
What is carbon sequestration?
What is a good relation to use for calculating tube bundle diameters?
