A pipe with a diameter of 0.50 m drains water from a large reservoir as shown in the schematic. The water exits the pipe at 62 m/s. How high is the water level in the reservoir? Assume that the dam holds a massive amount of water, such that the water level is stationary as the water drains out of the pipe below. Both the top of the reservoir and the outlet of the pipe are in contact with air.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
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A pipe with a diameter of 0.50 m drains water from a large reservoir as shown in the
schematic. The water exits the pipe at 62 m/s. How high is the water level in the
reservoir? Assume that the dam holds a massive amount of water, such that the
water level is stationary as the water drains out of the pipe below. Both the top of the
reservoir and the outlet of the pipe are in contact with air.
Transcribed Image Text:A pipe with a diameter of 0.50 m drains water from a large reservoir as shown in the schematic. The water exits the pipe at 62 m/s. How high is the water level in the reservoir? Assume that the dam holds a massive amount of water, such that the water level is stationary as the water drains out of the pipe below. Both the top of the reservoir and the outlet of the pipe are in contact with air.
Expert Solution
Step 1

Conservation of mass in fluid flow gives 

Av=constant

Where A is Area at which the flow 

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