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Classical Mechanics

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Moderate

Continuity Equation: Filling a Bucket

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You are filling a bucket with water using a hose. The bucket has a diameter of $0.35\space m$ and a depth of $0.48\space m$. The hose has a diameter of $0.025\space m$ and the water leaves the hose with a speed of $3.2\space m/s$.

How long will it take (in seconds) to fill the bucket?