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grscott_2000
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Question solved
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No, if the diameter of the pipe is .6 m then its radius is .6/2= .3 m.grscott_2000 said:The problem..
I have been given a flow rate in units of m^3 per second. I also know the diameter of the pipe the fluid is flowing in meters.
I have to calculate the velocity of the flow and give the answer in units of ms^-1
Relevant values..
pipe diameter = 0.6m
flow rate = 5 m^3 per second
My answer...
I know that
flow rate = cross sectional area x velocity
So all things considered I should just be able to rearrange the equation to give
velocity = flow rate / area = 5 / (pi * .15 * .15) = 70.7 ms-1
Yes, this is exactly the same thing: diameter= 2*radius so (diameter)^2= 4*radius. Canceling the "4" in the numerator and denominator gives exactly what you have above.Second point...
I also know that
velocity = 4 * flow rate / (pi * (pipe diameter)^2)
Although you have the correct answer, there is a typo on the left: "pi" should not be squared.Which gives a completely different answer...
(4 * 5) / ((pi * 0.6)^2) = 17.68 ms-1
I would very much appreciate anyone who can help me out with this apparent annomily. I tend to think that the second point is correct because I can plug various values into it, rearrange etc and still get a sensible answer
Flow rate and velocity are two measurements used to describe the movement of a fluid, such as water, through a specific area over a specific period of time. Flow rate is the amount of fluid that passes through a given area in a specific amount of time, while velocity is the speed at which the fluid is moving.
Flow rate can be calculated by dividing the volume of fluid that passes through a specific area by the time it takes to pass through that area. Velocity can be calculated by dividing the distance the fluid travels by the time it takes to travel that distance.
Measuring flow rate and velocity is important in many industries, including engineering, environmental science, and agriculture. It allows for the monitoring and control of fluid movement, which can impact the efficiency, safety, and environmental impact of various processes.
Flow rate and velocity can be affected by various factors, such as the size and shape of the area the fluid is passing through, the viscosity of the fluid, and any obstacles or changes in the terrain that the fluid encounters.
To optimize flow rate and velocity, it is important to understand the specific conditions and factors that affect them. This can involve adjusting the size or shape of the area the fluid is passing through, changing the properties of the fluid, or implementing strategies to reduce obstacles or changes in terrain. Computer simulations and experiments can also be used to optimize flow rate and velocity in specific scenarios.