{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

homework1 - which the temperature of the ball is reduced to...

This preview shows page 1. Sign up to view the full content.

EEL 3657 Homework # 1 – Assigned Tue Jan 25 - Due Mon Jan 31 Covers LDEs, modeling of simple physical systems, Laplace transforms. Assume/discover any constants, parameters, or initial conditions that you feel might help toward a good grade. Your notes and the textbook should be ample material to solve these problems. 1. A rocket is shot straight up. During initial stages of flight, it has an acceleration of 7t 2 ms . The engine cuts off at t = 10s. How high will the rocket go? 2. A copper ball is heated to 100 degrees Centigrade. Then at time t = 0, it is placed in water which is maintained at 30 degrees Centigrade. At the end of 3 minutes, the temperature of the ball is reduced to 70 degrees Centigrade. Find the time at
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: which the temperature of the ball is reduced to 31 degrees Centigrade. Hint: Newton’s law of cooling: The time rate of change of temperature T of the ball is proportional to the difference between T and the temperature of the surrounding medium. 3. Find Laplace transform of (a) t t sin (b) t 2 sin 4. Prove the final value theorem. 5. Find ) ( f and ) ( f when 2 3 5 s s F with and without using the initial value theorem. 6. Use MATLAB to find the partial-fraction expansion of the function 2 1 3 4 5 2 s s s s s F...
View Full Document

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern