Question

If the radius of a pipe carrying water is doubled, the volume flow rate of the water____________.

Answer 1

Answer:

is increased by 4 times.

Step-by-step explanation:

volume is directly proportional to square of radius.

Answer 2

Answer:

Step-by-step explanation:Poiseuille's law states that the rate of flow of water is proportionate to r4 where r is the radius of the pipe. I don't see why.

Intuitively I would expect rate of flow of fluid to vary with r2 as the volume of a cylinder varies with r2 for a constant length. The volume that flows past a point is equal to rate of flow fluid, and thus it should vary with r2.

Thanks

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