Suppose we have a 6 inch diameter cylindrical bucket with three holes. Each hole is 0.5 inches indiameter. The first hole is 1.5 inches from the top and the holes are 2 inches from each other. If thebucket is initially full, when will the bucket stop draining?

Question

Engineering

Moran

16 February, 04:02

Suppose we have a 6 inch diameter cylindrical bucket with three holes. Each hole is 0.5 inches indiameter. The first hole is 1.5 inches from the top and the holes are 2 inches from each other. If thebucket is initially full, when will the bucket stop draining?

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Answers (1)

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Armani Castaneda · Answer 1

Given:

D = 6 inch

Hole dia = 0.5 inches

distance from the top = 1.5 inches

distance between = 2 inches

Bernoulli's equation:

ρgy1 + ½ρv12 + P1 = ρgy2 + ½ρv22 + P2

The continuity equation:

A1v1 = A2v2

We know that volume of the cylinder = πr²h

Base area Aₓ = πr²

Radius r = √ (v:πh)

height = V/πr²