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Equation of continuity with aorta and the forces exerted on an underwater vehicle

  1. Feb 3, 2008 #1
    I'm having a lot of trouble with fluids I need some help on these two questions :/

    the mariana trench is located in the floor of the Pacific Ocean at a depth of about 11 000 m below the surface of the water. The density of seawater is 1025 kg/m^3.
    if an underwater vehicle were to explore such a depth, what force would the water exert on the vehicles observation window (radius=.10m)?
    For comparison, determine the weight of a jetliner whose mass is 1.2x10^5 kg

    The aorta carries blood away from the heart at a speed of 40 cm/s and has a radius of 1.1cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to various organs. In a capillary, the blood speed is about .07 cm/s and the radius is about 6x10^-4cm. Treat the blood as an incompressible fluid, and use these data to determine the approximate number of capillaries in the human body

    any help please? thanks a lot!
     
  2. jcsd
  3. Feb 3, 2008 #2
    Ok... I am new to this forum but I noticed your post and thought I'd lent a hand. I am enrolled in Advanced Placement Physics at my high school and we already went over fluids so I think i can help.

    For your first question:

    P = p*g*h
    P = F/A
    A = pi*r^2
    --so--
    F=P*A
    --and--
    F=p*g*h*pi*r^2

    and the other part:

    F = ma
    --so--
    Fg = m*g

    For the second question:

    It is flow rate...

    AV(before) = AV(after)
    A = pi*r^2
    --so--
    pi*r^2*V = pi*r^2*V

    since there are multiple capilaries...

    r(of aorta)^2*V(of a.)
    ------------------------ (divided by) = Number of capilaries
    r(of capilaries)^2*V(of c.)

    Hope this helped
     
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