Question

---- The aorta of a Vulcan is not much different from a human, and their blue blood flows through them at 20 cm/s. The volume rate of blue blood flow through their aorta is Trav. If the radius of the cylindrical aorta is 14 mm, what is the volume rate of blood flow in a Vulcan in L/min? (1000 L = 1 m3) 7.4 L/min 16.8 L/min 527.8 L/min 7.4 x 108 L/min 27 PM g

Answer 1

Given that Volume flow rate is given by:

Q = pi*r^2*v

r = radius of aorta = 14 mm = 14*10^-3 m

v = speed of blood flow = 20 cm/sec = 0.20 m/sec

So,

Q = pi*(14*10^-3)^2*0.20

Q = 0.123*10^-3 m^3/sec

Since 1000 L = 1 m^3, and 1 min = 60 sec, So

Q = (0.123*10^-3 m^3/sec)*(1000 L/1 m^3)*(60 sec/1 min)

Q = 0.123*10^-3*1000*60 L/min

Q = 7.38 L/min = 7.4 L/min

Correct option is A.