Mean Velocity of Air Vessel given Length of Stroke Calculator

✖Area of Cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.ⓘ Area of Cylinder [A]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Length of stroke is the range of movement of piston.ⓘ Length of Stroke [L]			+10% -10%
✖Area of Suction Pipe is the cross-sectional area through which the liquid is sucked.ⓘ Area of Suction Pipe [a_s]			+10% -10%

✖Mean Velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Air Vessel given Length of Stroke [V_m]

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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)
V_m = (A*ω*L)/(2*pi*a_s)
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

V_m = (A*ω*L)/(2*pi*a_s) --> (0.6*2.5*0.88)/(2*pi*0.39)

Evaluating ... ...

V_m = 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 00.004 seconds)

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Mean Velocity of Air Vessel given Length of Stroke Formula

LaTeX Go

Mean Velocity = (Area of Cylinder*Angular Velocity*Length of Stroke)/(2*pi*Area of Suction Pipe)
V_m = (A*ω*L)/(2*pi*a_s)

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, Mean Velocity of Air Vessel given Length of Stroke formula is defined as a measure of the average velocity of air in a vessel, which is crucial in reciprocating pumps, as it directly affects the pump's performance and efficiency, and is essential in determining the overall pumping system's behavior. Mean Velocity is denoted by V_m 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 (a_s) 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?

Mean Velocity of Air Vessel given Length of Stroke formula is defined as a measure of the average velocity of air in a vessel, which is crucial in reciprocating pumps, as it directly affects the pump's performance and efficiency, and is essential in determining the overall pumping system's behavior and is represented as V_m = (A*ω*L)/(2*pi*a_s) 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?

Mean Velocity of Air Vessel given Length of Stroke formula is defined as a measure of the average velocity of air in a vessel, which is crucial in reciprocating pumps, as it directly affects the pump's performance and efficiency, and is essential in determining the overall pumping system's behavior 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 (a_s). 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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