Bernoulli's Principle: a Large Cylindrical Water Tank Is Mounted on a Platform

question 24

Essay

Bernoulli's principle: 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:

Causal Statement

A declaration that indicates a cause-and-effect relationship between two events or variables.

Positive Economics

A branch of economics that focuses on describing and explaining the economic world as it is, not as it should be.

Operation of Systems

The process of managing and executing the functions and activities of interconnected and interdependent components to achieve specified goals.

Economic Behavior

The study of how individuals, institutions, and societies make decisions under constraints of resources, including analysis of market and non-market behaviors.