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#flow rate

3 public questions tagged with this topic.

Surface Tension, Capillarity and Excess Pressure

A spray tube (10cm2) has 50 holes of diameter 0.9mm. If the flow speed is 2.5m/min, what is the ejection speed?

A1v1 = A2v2, v1 = 2.5m/min = 0.04167m/s, A1 = 10×10−4m2. Hole area: Ah = π(0.45×10−3)2, total A2 = 50×π×2.025×10−7≈3.181×10−5m2. v2 = 10×10−4×0.041673.181×10−5≈1.31m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.3 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Equation of Continuity and Flow Rate

A spray tube (4cm2) has 20 holes of diameter 1.4mm. If the flow speed is 1.8m/min, what is the ejection speed?

A1v1 = A2v2, v1 = 1.8m/min = 0.03m/s, A1 = 4×10−4m2. Hole area: Ah = π(0.7×10−3)2, total A2 = 20×π×4.9×10−7≈3.079×10−5m2. v2 = 4×10−4×0.033.079×10−5≈0.39m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 0.39 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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