The Honey Drizzle Timer · AI Generator #GEN-3432C9E4

Physics · fluid-mechanics

Problem

A chef notices that honey drizzling from a wooden spoon forms a steady, thin stream that breaks into droplets at a consistent rate. When the spoon is held h=15  cmh = 15\;\text{cm} above a bowl, the honey stream has diameter d1=3.0  mmd_1 = 3.0\;\text{mm} just as it leaves the spoon. Due to gravity, the stream narrows as it falls, and just before breaking into droplets near the bowl, the stream diameter is d2=1.8  mmd_2 = 1.8\;\text{mm}. The honey has density ρ=1400  kg/m3\rho = 1400\;\text{kg/m}^3. Assuming the honey behaves as an ideal fluid in free fall, find the speed of the honey stream just before it breaks into droplets.

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