Hoover Dam www. Lake Mead Las Vegas Colorado River 15 Jean CALIFO Primm ORNIA Henderson Boulder City Cottonwood Cove Searchlight Lake Mead Cal Nev Ari Hoover Dam ARIZONA D Please assume the following: Water is forced by one pump from an intake on Lake Mead (elevation = 1170 feet above sea level) to a reservoir in Las Vegas (elevation = 2030 feet above sea level) through a 20-mile long. 10-ft diameter, riveted steel water main (e = 0.03 feet). In total, Las Vegas consumes an average of 300,000 acre-feet of water per year. The pump has an overall efficiency of 80%. Assume fully turbulent conditions to calculate friction loss. Minor losses can be neglected.
Hoover Dam www. Lake Mead Las Vegas Colorado River 15 Jean CALIFO Primm ORNIA Henderson Boulder City Cottonwood Cove Searchlight Lake Mead Cal Nev Ari Hoover Dam ARIZONA D Please assume the following: Water is forced by one pump from an intake on Lake Mead (elevation = 1170 feet above sea level) to a reservoir in Las Vegas (elevation = 2030 feet above sea level) through a 20-mile long. 10-ft diameter, riveted steel water main (e = 0.03 feet). In total, Las Vegas consumes an average of 300,000 acre-feet of water per year. The pump has an overall efficiency of 80%. Assume fully turbulent conditions to calculate friction loss. Minor losses can be neglected.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:**Water Pumping System from Lake Mead to Las Vegas**
**Diagram Overview:**
1. **Photograph of Hoover Dam**: The image on the left shows the Hoover Dam, with a focus on the dam structure and the water intake system from Lake Mead.
2. **Map Diagram**: The image on the right is a map showing the relative locations of Lake Mead, Hoover Dam, and Las Vegas. It highlights the path of the Colorado River and key locations such as Boulder City, Las Vegas, and the surrounding areas in California, Nevada, and Arizona.
**System Details:**
- **Water Source**: Water is sourced from Lake Mead at an elevation of 1170 feet above sea level.
- **Destination**: The water is pumped to a reservoir in Las Vegas, which is at an elevation of 2030 feet above sea level.
- **Distance and Infrastructure**: The water travels through a 20-mile-long, 10-foot diameter, riveted steel water main with a roughness coefficient (\(e = 0.03\) feet).
- **Annual Water Consumption**: Las Vegas consumes an average of 300,000 acre-feet of water per year.
- **Pump Efficiency**: The system uses a pump with an overall efficiency of 80%.
- **Assumptions**: For calculation purposes, assume fully turbulent conditions to determine friction loss. Minor losses can be neglected.
This information is vital for understanding the engineering and logistical considerations involved in supplying water from Lake Mead to Las Vegas.
Expert Solution
Step 1
Given data-
Intake elevation h1=1170 feet above sea level,
Reservoir elevation h2=2030 feet above sea level,
Length L=20 miles,
Diameter of the pipe D=10 ft,
Riveted steel water main e=0.03 feet,
Average yearly consumption per year = 300,00 acre-feet,
Pump efficiency n=80%,
Minor losses are neglected,
To Find-
The friction loss in fully turbulent flow conditions.
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