3 years ago

I don’t understand this one can someone help me?

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

Step-by-step explanation:

First, simplify sqrt(18/30) into sqrt(3/5). This equals (sqrt(3))/(sqrt(5)) or (sqrt(15))/5. Now, multiply it by 8 to get $\boxed{8\sqrt{15}\over5}$ or D.

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Find the flow rate through a tube of radius 6 cm, assuming that the velocity of fluid particles at a distance r cm from the cent

vaieri [72.5K]

Answer:

791.68 cm/s

Step-by-step explanation:

The volume flow rate can be interpreted as the integral of fluid velocity over area

$\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s$