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Two Horizontal Pipes Are the Same Length, but Pipe B ΔVΔt\frac { \Delta V } { \Delta t }

question 66

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Two horizontal pipes are the same length, but pipe B has twice the diameter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the flow rate in pipe A is Q = ΔVΔt\frac { \Delta V } { \Delta t } , what is the flow rate in pipe B?


Definitions:

Total Surplus

The sum of consumer surplus and producer surplus, representing the overall economic benefit to society from a market transaction.

Government Imposes

Actions taken by a government to enforce regulations, taxes, or penalties on a population or industry to achieve economic or societal goals.

Consumer Surplus

The variance between the aggregate sum consumers intend and are financially capable to allocate for a good or service and the aggregate sum they really spend.

Tax

Compulsory financial charges or other types of levy imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

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