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

ilikephysics2 Group Title

for a spherical object what is its mass in terms of the density of the material, its diameter and any necessary constants?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    well volume of a sphere is \[\frac 43 \pi r^3\]

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

    and then density = mass/volume

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

    \[\rho=\frac mV\] \[m=V\rho\]

    • 2 years ago
  4. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so you have \[m = \frac 43\rho \pi r^3\]

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

    where \(\rho\) = density

    • 2 years ago
  6. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what about its diameter

    • 2 years ago
  7. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    change r to d/2

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

    and \(r\) is the radius (half the diameter) \(r=\frac d2\)

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

    radius = diameter/2 so just change r to d/2

    • 2 years ago
  10. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so thats the final solution?

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

    replace r with d/2....

    • 2 years ago
  12. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok cool and can i give you guys both metals or does just one of you get it?

    • 2 years ago
  13. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hey so its (4/3)p(pi)(d/2)^3

    • 2 years ago
  14. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    right

    • 2 years ago
  15. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is that right?

    • 2 years ago
  16. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you can simplify the numbers a bit

    • 2 years ago
  17. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    unkle...it won't let me give you a metal now

    • 2 years ago
  18. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    why cant i give it to both of you

    • 2 years ago
  19. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    i dont mind about that

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

    \[m=\frac43\rho\pi\left(\frac d2\right)^3\] use \[\left(\frac{a}{b}\right)^n=\frac {a^n} {b^n}\]

    • 2 years ago
  21. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so it simplifies to 4p(pi)(d/2)?

    • 2 years ago
  22. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i crossed out the 3's

    • 2 years ago
  23. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what he meant was distribute the exponent

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

    you can not cancel an index with denominator like that

    • 2 years ago
  25. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh so whats it turn to?

    • 2 years ago
  26. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\left(\frac{a}{b}\right)^n=\frac {a^n} {b^n}\] \[\left(\frac{d}{2}\right)^3=\frac {d^3} {2^3}\]

    • 2 years ago
  27. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks :)

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

    can you simplify the numbers in the equation now?

    • 2 years ago
  29. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes (4/3)p(pi)(d^3/8) ?

    • 2 years ago
  30. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you can simplify it further

    • 2 years ago
  31. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you can multiply the denominators

    • 2 years ago
  32. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so 4p(pi)(d/8) ? ?

    • 2 years ago
  33. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what happened?

    • 2 years ago
  34. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    can you simplify it?

    • 2 years ago
  35. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    you canceled the denominaotr and teh exponent???

    • 2 years ago
  36. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    it can't be simplified?

    • 2 years ago
  37. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    it can...you just simplified it wrong....multiply the denominators

    • 2 years ago
  38. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    don't touch anything else

    • 2 years ago
  39. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so it (4/24)p(pi)(d^3) ?

    • 2 years ago
  40. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    thats better!

    • 2 years ago
  41. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes. now express 4/24 in lowest terms

    • 2 years ago
  42. ilikephysics2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so 1/6 p(pi)(d^3) ? thats final!!!!

    • 2 years ago
  43. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    right!!

    • 2 years ago
  44. lgbasallote Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    your turn @UnkleRhaukus

    • 2 years ago
  45. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\color{red}\checkmark\]

    • 2 years ago
  46. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so the constants necessary to express the volume in terms of diameter are ; the natural number; 6 the density of the material rho; \(\rho\) the geometrical constant pi; \(\pi\) the diameter of the sphere \(d\) and the dimensional constant \(3\)

    • 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.