A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

impulse function

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1444123497051:dw|

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do you write this as function? \[X(t)=10+\delta(t)+\delta(t-1)\]

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Im not sure. I'll show you the question

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i don't think its saying that the 1ft^3 of water still happen from t=0min to t=1 mins, otherwise it would be a step function (not an impulse function). Im not entirely sure

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @dan815

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because in the end, after the last impulse, you want the inlet to be running at 10ft^3 of water (Since that is its steady state value; the impulses come from disturbances)

  8. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    an impulse has infinite height right

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes, but i guess we say that an impulse of 2 is greater than an impulse of 1, hypothetically speaking, despite both having infinite height

  10. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh i see what ur indicating is like the area

  11. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think this is fine

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so you think my function is reasonable?

  13. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think u shud have 10

  14. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since 10 is not really a response

  15. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but i dont really know, it seems like its based on convention

  16. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think u shudnt* have 10

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm

  18. BAdhi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1444124866547:dw| shouldnt it be like this?? the impulse is the derivative of this graph

  19. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then ur function would be X(t) = 10 + integral (unit impulse) + integral 2*unitimpulse

  20. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but they're saying sketch "response" of level vs time

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is a function of step functions, we can't assume that the disturbance continues after t=0 to t=1

  22. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not level vs time right...

  23. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1444125085374:dw|

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have the level v time sorted once i find the solution to the initial flow rate. i can just apply laplace and first order principles. but this is the important bit

  25. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think its this

  26. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the 10 isnt there anymoore in response thats initial condition

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so its just \[X(t)=\delta(t)+\delta(t-1)\]

  28. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well shouldnt it be 2* impulse

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes sorry

  30. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    also depedns on how u drew the level graph

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i forgot to add that in all of my equations

  32. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    u can also add an impulse of 10 at like t=-inf or something

  33. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1444125308190:dw| perhaps u can just scale it back by -1 and you have\[X(t)=10\delta(t)+11\delta(t-1)\]

  34. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay thats fine

  35. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait no

  36. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    its still only 2 for the 2nd one

  37. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and 11 for hte first one

  38. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i take it u wannna saw theres 10 in the tank and 1 added same time?

  39. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and t=0

  40. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not following, why is it 2, when we are inputting an impulse of a factor of 1 greater than the first impulse?

  41. BAdhi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    idont know why we need laplace transform and stuff since it jst ask to draw the level of the tank .. and from my graph we can easily find the levels at t=.5, 1, 1.5

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

  43. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1444125541664:dw|

  44. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @BAdhi we are continually removing water from the system

  45. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just show me your step function lo... itll be so much less confusing

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the height will change after the impulse

  47. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just do it depending on ur step function

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but there is no step function...

  49. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lel im confused

  50. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i thought u drew that already

  51. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1444125831913:dw|

  52. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well its kinds ambiguous to me cause you aren't adding water from the first disturbance from t=0 to t=1, only instantaneously..

  53. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like all it is, is just a spike to the inflow, and thats it. it isn't flowing 11ft^3 of water from t=0 to t=1. only at an instantaneous period

  54. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1444126223534:dw|

  55. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    any thoughts? i just need to find the function of inflow and i will be set. i just need to find what Q(t)=??

  56. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Q(t) being the inlet flow into the tank

  57. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    again that 10 cannot be there

  58. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    having a continuous 10 means ur level was rising constant at a rate of 10 m^3 over some time increment

  59. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then i don't know what to do.

  60. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because, we aren't really adding step functions, because it would have told us that from t=0 to t=1, 1ft^3 is being added to the tank, (that is a step function) but here it doesn't say.

  61. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so this would be an instantaneous disturbance

  62. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does anyone understand my thought process?

  63. ytrewqmiswi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    which topic is this question related to? :)

  64. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    process control

  65. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ideas?

  66. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if anyone has a subscription to chegg then they have the answers, but yolo, I'm clean dry out of ideas

  67. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sad days

  68. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.