An Incompressible Fluid Is Flowing Through a Pipe with a Constriction

question 30

Multiple Choice

An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 10.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s. The diameter of the wide section is 12.00 cm and the diameter of the narrow section is 9.00 cm. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m³)

• A) 210 kPa
• B) 205 kPa
• C) 195 kPa
• D) 184 kPa
• E) 175 kPa

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Definitions:

Mean Difference

Mean difference is the measure of the average discrepancy between two sets of numbers, often used in comparing the central tendencies of two samples.

Null Hypothesis

A statement that assumes there is no significant difference or effect and serves as the starting point for hypothesis testing.

Significance Level

A threshold in statistical hypothesis testing that measures the probability of rejecting the null hypothesis when it is true, commonly set at values like 0.05 or 0.01.

SRS

Simple Random Sampling, a method of sampling where every individual has an equal chance of being selected from a population.