Question
A farmer is using an automated machine to milk a cow. One part of the machine is a thin plastic pipe thre which the milk
A farmer is using an automated machine to milk a cow. One part of the machine is a thin plastic pipe thre which the milk flows after it comes from the cow. The farmer notices that the volume flow rate through that pipe lower than what it normally is, and he realizes it's because a certain segment of the pipe is partially clogged while the pressure gradient across that segment has not changed relative to normal. The clog causes the cross-sectional area of that segment of the pipe to be smaller than normal. If the flow speed (distance per unit time) of the mill through the clogged segment is half of what it normally is, by what percent has the volume flow rate decreased
relative to normal?
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