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Social ScienceA 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.
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.
Expert Answer
velocity of water v(r) = 0.5(r − 1)(3 − r) cm/s.
flow rate is given as,
Limits for r would be from 1 to 3
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