Question
Asked Feb 17, 2020
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A solid rod of radius 1 cm is placed in a pipe of radius 3 cm so that their axes are aligned. Water flows
through the pipe and around the rod. Find the flow rate if the velocity of the water is given by the radial
function v(r) = 0.5(r − 1)(3 − r) cm/s.

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Expert Answer

Step 1

velocity of water  v(r) = 0.5(r − 1)(3 − r) cm/s.

flow rate is given as,

Calculus homework question answer, step 1, image 1

Step 2

Limits for r would be from 1 to 3

Calculus homework question answer, step 2, image 1

 

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