Mean Velocity of Air Vessel given Length of Stroke Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)
Vmean = (A*ω*L)/(2*pi*as)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Length of Stroke - (Measured in Meter) - Length of stroke is the range of movement of piston.
Area of Suction Pipe - (Measured in Square Meter) - Area of suction pipe is the cross-sectional area through which the liquid is sucked.
STEP 1: Convert Input(s) to Base Unit
Area of cylinder: 0.6 Square Meter --> 0.6 Square Meter No Conversion Required
Angular Velocity: 2.5 Radian per Second --> 2.5 Radian per Second No Conversion Required
Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Area of Suction Pipe: 0.39 Square Meter --> 0.39 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = (A*ω*L)/(2*pi*as) --> (0.6*2.5*0.88)/(2*pi*0.39)
Evaluating ... ...
Vmean = 0.538678268926415
STEP 3: Convert Result to Output's Unit
0.538678268926415 Meter per Second --> No Conversion Required
FINAL ANSWER
0.538678268926415 0.538678 Meter per Second <-- Mean Velocity
(Calculation completed in 00.020 seconds)

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12 Flow Parameters Calculators

Loss of head due to friction given area of Pipe
Go Head loss due to friction = ((4*Coefficient of Friction*Length of Pipe 1)/(Diameter of delivery pipe*2*[g]))*((Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*sin(Angle turned by crank))
Pressure head due to acceleration
Go Pressure Head due to Acceleration = (Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe)
Acceleration of liquid in pipe
Go Acceleration of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity^2*Radius of crank*cos(Angular Velocity*Time in seconds)
Velocity of Liquid in Pipe
Go Velocity of Liquid = (Area of cylinder/Area of pipe)*Angular Velocity*Radius of crank*sin(Angular Velocity*Time in seconds)
Rate of flow of liquid into air vessel
Go Rate of Flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
Mean Velocity of Air Vessel given Length of Stroke
Go Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)
Mean velocity of air vessels
Go Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)
Weight of Water delivered per second given Density and Discharge
Go Weight of Water = Water Density*Acceleration Due to Gravity*Discharge
Mass of water in pipe
Go Mass of Water = Water Density*Area of pipe*Length of Pipe
Coefficient of discharge of pump
Go Coefficient of Discharge = Actual Discharge/Theoretical Discharge
Weight of water delivered per second
Go Weight of liquid = Specific Weight*Discharge
Volume of liquid delivered given weight of liquid
Go Volume = Weight of liquid/Specific Weight

Mean Velocity of Air Vessel given Length of Stroke Formula

Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)
Vmean = (A*ω*L)/(2*pi*as)

What is an air vessel and explain its functions?

Air vessels is basically a closed container designed to hold gases or fluids at a pressure different from the ambient pressure. Air Vessels can theoretically be almost of any shape, but general used shapes are sections of spheres, cylinders, and cones.

What is the purpose of an air vessel fitted in the pump?

The vessels are used for the following purposes:
(i) To get a continuous supply of liquid at a uniform rate. (ii) To save the power required to drive the pump. This is due to the fact that by using air vessels, the acceleration and friction heads are reduced. Thus the work is also reduced.

How to Calculate Mean Velocity of Air Vessel given Length of Stroke?

Mean Velocity of Air Vessel given Length of Stroke calculator uses Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe) to calculate the Mean Velocity, The Mean Velocity of Air Vessel given Length of Stroke formula is defined as the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time . Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Air Vessel given Length of Stroke using this online calculator? To use this online calculator for Mean Velocity of Air Vessel given Length of Stroke, enter Area of cylinder (A), Angular Velocity (ω), Length of Stroke (L) & Area of Suction Pipe (as) and hit the calculate button. Here is how the Mean Velocity of Air Vessel given Length of Stroke calculation can be explained with given input values -> 0.538678 = (0.6*2.5*0.88)/(2*pi*0.39).

FAQ

What is Mean Velocity of Air Vessel given Length of Stroke?
The Mean Velocity of Air Vessel given Length of Stroke formula is defined as the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time and is represented as Vmean = (A*ω*L)/(2*pi*as) or Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe). Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, Length of stroke is the range of movement of piston & Area of suction pipe is the cross-sectional area through which the liquid is sucked.
How to calculate Mean Velocity of Air Vessel given Length of Stroke?
The Mean Velocity of Air Vessel given Length of Stroke formula is defined as the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time is calculated using Mean Velocity = (Area of cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe). To calculate Mean Velocity of Air Vessel given Length of Stroke, you need Area of cylinder (A), Angular Velocity (ω), Length of Stroke (L) & Area of Suction Pipe (as). With our tool, you need to enter the respective value for Area of cylinder, Angular Velocity, Length of Stroke & Area of Suction Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Velocity?
In this formula, Mean Velocity uses Area of cylinder, Angular Velocity, Length of Stroke & Area of Suction Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = (Area of cylinder*Angular Velocity*Pipe Diameter/2)/(pi*Area of Suction Pipe)
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