(10%) Problem 2: The human circulation system has approximately 1 x 109 capillar

Question

(10%) Problem 2: The human circulation system has approximately 1 x 109 capillary vessels. Each vessel has a diameter of about 8 m . Assuming the cardiac output is 5 L/min, determine the average speed, in centimeters per second, of blood flow through each capillary vessel. Grade Summary Deductions Potential ave 1.66 103 596 95% sin() cotan atan) acotan) s | 789 HOME tan() asin)acos) sinh0 cos() Submissions Attempts remaining: 4 (5% per attempt) detailed view END cosho tanh) cotanh O Degrees O Radians 596 VO BACKSPACEDELCLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback.

Explanation / Answer

Solution) We have Area=(pi)d^(2)/4

For 1×10^9 capillary vessels Area=1×10^(9)×3.14×(8×10^(-6))^2/4

Area=0.0503m^2

We have Volume V=(area×velocity)

0.005m^3/60s=0.0503×v

v=0.00166m/s

v=1.66×10^(-3)m/s

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