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 Group Title

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?

  • 2 years ago
  • 2 years ago

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

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

    • 2 years ago
  2. Vincent-Lyon.Fr Group Title
    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. \(v=\sqrt{2gh}\)

    • 2 years ago
  3. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    then?

    • 2 years ago
  4. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Is the answer 45.80 s ?

    • 2 years ago
  5. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i didnt get tht :O

    • 2 years ago
  6. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i got 2.8 :P

    • 2 years ago
  7. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    How?

    • 2 years ago
  8. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    wait

    • 2 years ago
  9. RaphaelFilgueiras Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    h is variable

    • 2 years ago
  10. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm

    • 2 years ago
  11. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    then how ?

    • 2 years ago
  12. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Total volume is 3.217 L, right?

    • 2 years ago
  13. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i got 3.14x10^-4

    • 2 years ago
  14. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • 2 years ago
  15. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    3.21x10^-3

    • 2 years ago
  16. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

    • 2 years ago
  17. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so?

    • 2 years ago
  18. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • 2 years ago
  19. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and discharge is v multiplied by area of hole.

    • 2 years ago
  20. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    v is velocity ryt?

    • 2 years ago
  21. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yep

    • 2 years ago
  22. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so how do we bring in volume?

    • 2 years ago
  23. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • 2 years ago
  24. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm

    • 2 years ago
  25. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but isnt h varying?

    • 2 years ago
  26. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, but we can get round this difficulty

    • 2 years ago
  27. Vincent-Lyon.Fr Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you find the same values?

    • 2 years ago
  28. AravindG Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how/?

    • 2 years ago
  29. Vincent-Lyon.Fr Group Title
    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.

    • 2 years 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.