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Unformatted text preview: schneiter (tcs639) HW23 Ross (89152) 1 This printout should have 8 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Calculate the flow rate of blood (of den sity 0 . 703 g / cm 3 ) in an aorta with a cross sectional area of 0 . 961 cm 2 if the flow speed is 30 . 7 cm / s. Correct answer: 20 . 7404 g / s. Explanation: Let : = 0 . 703 g / cm 3 , A = 0 . 961 cm 2 , and v = 30 . 7 cm / s . Flow Rate = m t = m v d = V v d = A v = (0 . 703 g / cm 3 ) (0 . 961 cm 2 ) (30 . 7 cm / s) = (0 . 703 g / cm 3 ) (29 . 5027 cm 3 / s) = 20 . 7404 g / s . 002 (part 2 of 2) 10.0 points Assume the aorta branches to form a large number of capillaries with a combined cross sectional area of 1860 cm 2 . What is the flow speed in the capillaries? Correct answer: 0 . 0158617 cm / s. Explanation: Let : A = 1860 cm 2 . From the equation of continuity, we have v = A A v = parenleftbigg . 961 cm 2 1860 cm 2 parenrightbigg (30 . 7 cm / s) = 0 . 0158617 cm / s . 003 10.0 points A cowboy at a dude ranch fills a horse trough that is 1 . 6 m long, 72 cm wide, and 40 cm deep. He uses a 2 . 4 cm diameter hose from which water emerges at 1 . 2 m / s ....
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 Spring '08
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 mechanics

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