Calculus Work Pump Water From an Inverted Cone

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 25

  • @faithbulger4796
    @faithbulger4796 2 ปีที่แล้ว +1

    Wow thank you! I have yet to hear this problem explained so concisely, you are incredible!

  • @bankscj32
    @bankscj32 6 ปีที่แล้ว +5

    Two To TEAN
    Thanks for the slow and thorough explanation!!

    • @crowsmathclass
      @crowsmathclass  6 ปีที่แล้ว +1

      You're welcome. Glad the video helped.

  • @heliossol8375
    @heliossol8375 4 ปีที่แล้ว +1

    3 years later, and this video is still helping people out. Thank you!

    • @crowsmathclass
      @crowsmathclass  4 ปีที่แล้ว

      You’re welcome. Glad it helped.

  • @aaroncroft7514
    @aaroncroft7514 3 ปีที่แล้ว +1

    Anyone else get ASMR vibes from his voice 😂 Great video!

  • @theweirdsquid
    @theweirdsquid 2 ปีที่แล้ว

    Thank so much, this video was super helpful! You explained everything really well!

  • @davelevison7252
    @davelevison7252 2 ปีที่แล้ว +1

    I'm not understanding why the integral would be from 2 to 10 rather than 0 to 8 if all the water is being pumped out.

    • @crowsmathclass
      @crowsmathclass  2 ปีที่แล้ว +1

      It’s from water closest to the top which is 2 to water farthest from top which is 10.

  • @tawfiqabuaita
    @tawfiqabuaita 4 ปีที่แล้ว

    Why did you multiply the weight by x and dx. Isn't the formula of the work just equal to the integral of force times dx? why did you multiply by x?

  • @leonardocaballero1233
    @leonardocaballero1233 4 ปีที่แล้ว

    When multiplying the mass with acceleration to find the force, why was the acceleration of gravity used? Do we always use that value for these types of questions?

  • @XoIoRouge
    @XoIoRouge 3 ปีที่แล้ว

    I'm given a similar problem but in US units. It states the liquid weighs 29 pounds per cubic foot. I've replaced the 1000 in the equation with 29, and replaced the gravity from 9.8 to 32.2; everything else is the same, but my answer is wrong. Are there other steps for dealing with non-metric units?

    • @crowsmathclass
      @crowsmathclass  3 ปีที่แล้ว

      Don’t include the 32.2. Below is a video I did similar to what you are asking.
      th-cam.com/video/dHw-_5kXaNA/w-d-xo.html

  • @josephmother3589
    @josephmother3589 4 ปีที่แล้ว

    Thank you so much

  • @peacethroughquestion1057
    @peacethroughquestion1057 ปีที่แล้ว

    Im not workimg in kg per m. I did the same problem for a parallelogram tank and never had to use 9.8 constant. I just used f=pv = density x volume, the dw=f x distance whwre distance equals height minus y (or x, whatever)

  • @jeminskiiiI
    @jeminskiiiI 4 ปีที่แล้ว

    very seductive voice