A 25 mm diameter water pipe is equivalent in flow capacity to how many 12 mm diameter pipes?

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To determine how many 12 mm diameter pipes are equivalent in flow capacity to a 25 mm diameter pipe, we can use the principle that the flow capacity of a pipe is proportional to its cross-sectional area.

The cross-sectional area of a circular pipe is given by the formula:

[ A = \pi \left( \frac{d}{2} \right)^2 ]

Where ( d ) is the diameter of the pipe.

First, let's calculate the cross-sectional area of the 25 mm pipe:

1. Convert the diameter into meters for easier calculation in standard SI units:

• 25 mm = 0.025 m

• Area ( A_{25} = \pi \left( \frac{0.025}{2} \right)^2 = \pi \left( 0.0125 \right)^2 = \pi \times 0.00015625 \approx 0.0004909 ) m².

Next, we calculate the cross-sectional area of one 12 mm pipe:

1. Similarly, convert the diameter of the 12 mm pipe:

• 12 mm = 0.012 m

• Area ( A_{12} = \pi \