A laminar stream is flowing vertically down from a tap of cross-section area 1 cm . At a distance 10 cm below the tap, the cross-section area of the stream has reduced to 1/2 cm². Find the volumetric flow rate of water from the tap.
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Question

A laminar stream is flowing vertically down from a tap of cross-section area 1 cm . At a distance 10 cm below the tap, the cross-section area of the stream has reduced to 1/2 cm². Find the volumetric flow rate of water from the tap.

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G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives A: 4.9 litre/min. Final answer: A.