A Large Cylindrical Water Tank Is Mounted on a Platform

question 47

Short Answer

A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and base is 6.50 m above the ground. A small hole 2.22 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m³.
(a) How many cubic meters of water per second is this tank losing?
(b) How fast is the water from the hole moving just as it reaches the ground?

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Definitions:

Sedimentary Deposit

Accumulation of minerals and organic particles that have been transported, settled, and compressed over time.

Breccia

A rock composed of broken fragments of minerals or rock cemented together by a fine-grained matrix.

Rock Characteristics

The inherent properties and features of rock, including texture, mineral content, and permeability among others.

Angular Clasts

Angular clasts are pieces of rock that have sharp edges and points, indicating they have not been traveled far from their source because they have not been significantly worn down by erosion.