Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

AravindG

A cylindrical tank of height 0.4 m is open at the top and has a diameter 0.16 m.Water is filled in it upto a height of 0.16 m .Calculate the time taken to empty the tank through a hole of radius 5x10^-3m in its bottom?

  • one year ago
  • one year ago

  • This Question is Closed
  1. AravindG
    Best Response
    You've already chosen the best response.
    Medals 0

    @Vincent-Lyon.Fr , @ash2326 , @waterineyes

    • one year ago
  2. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    First, use Torricelli's law to determine speed of water in the hole and rate of flow. \(v=\sqrt{2gh}\)

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

    then?

    • one year ago
  4. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    Is the answer 45.80 s ?

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

    i didnt get tht :O

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

    i got 2.8 :P

    • one year ago
  7. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    How?

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

    wait

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

    h is variable

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

    hmm

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

    then how ?

    • one year ago
  12. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    Total volume is 3.217 L, right?

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

    i got 3.14x10^-4

    • one year ago
  14. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    Try again. radius is 0.08m and height is 0.16m

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

    3.21x10^-3

    • one year ago
  16. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

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

    so?

    • one year ago
  18. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    now escape velocity is \(v=\sqrt{2gh}\)

    • one year ago
  19. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    and discharge is v multiplied by area of hole.

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

    v is velocity ryt?

    • one year ago
  21. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    yep

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

    so how do we bring in volume?

    • one year ago
  23. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    time taken is: volume / discharge you should find 22.9s

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

    hmm

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

    but isnt h varying?

    • one year ago
  26. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, but we can get round this difficulty

    • one year ago
  27. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you find the same values?

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

    how/?

    • one year ago
  29. Vincent-Lyon.Fr
    Best Response
    You've already chosen the best response.
    Medals 0

    initial escape velocity is v=root(2g hmax) discharge is v multiplied by area of hole. time taken is: volume / discharge you should find 22.9s This is the time it would take to empty the tank if initial discharge was constant. Real duration, when h varies, is twice that time.

    • one year ago
    • Attachments:

See more questions >>>

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.