We appreciate your visit to A natural gas pipeline with a diameter of 0 250 m delivers 1 55 cubic meters of gas per second What is the flow speed. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The speed is approximately 31.57 m/s. This is calculated using the equation for flow rate (Q = AV), with the given flow rate of 1.55 cubic meters per second, and the pipe's cross-sectional area (calculated from its diameter).
Explanation:
The question is asking about the flow speed of the gas moving through the pipeline, also known as the velocity of the gas. To find this, we apply the principle of incompressibility of the fluid (in this case the gas), which implies that the flow rate is consistent throughout the pipeline. This is often represented by the equation Q = AV, where Q is the flow rate, A is the cross-sectional area of the pipe, and V is the velocity.
The cross-sectional area of the pipeline can be calculated using the formula A = π(r^2), where r is the radius of the pipe. In this case, the diameter is given as 0.250m, so the radius r will be 0.250/2 = 0.125m. Thus, the area A is π*(0.125)^2 = 0.0491 m².
The flow rate, Q, is given as 1.55 cubic meters per second. By substituting these values into the equation Q = AV, we get 1.55m³/s = 0.0491 m² * V. Isolate V by dividing both sides of the equation by 0.0491, we get V = 1.55m³/s / 0.0491 m² = 31.57 m/s. So, the flow speed of the gas in the pipeline is about 31.57 meters per second.
Learn more about Flow Speed here:
https://brainly.com/question/28304543
#SPJ11
Thanks for taking the time to read A natural gas pipeline with a diameter of 0 250 m delivers 1 55 cubic meters of gas per second What is the flow speed. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Answer:
The flow speed of the gas in the pipeline is 31.57 m/s.
Explanation:
Given;
diameter of the pipeline, d = 0.25 m
radius of the pipeline, r = d/2 = 0.125 m
volumetric flow rate of the gas, Q = 1.55 m³/s
The cross sectional area of the pipeline is given as;
A = πr²
A = π(0.125²)
A = 0.0491 m²
Volumetric flow rate is given by;
Q = Av
Where;
v is the speed of the fluid in the pipeline
v = Q / A
[tex]v = \frac{1.55 \ \frac{m^3}{s} }{0.0491 \ m^2} \\\\v = 31.57 \ m/s\\[/tex]
Therefore, the flow speed of the gas in the pipeline is 31.57 m/s.
