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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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## Mean velocity of air vessel in terms of 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 = (A*ω*L)/(2*pi*as)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area of cylinder - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface. (Measured in Square Meter)
Angular Velocity - 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. (Measured in Radian per Second)
Length of stroke - Length of stroke is the range of movement of piston. (Measured in Meter)
Area of suction pipe - Area of suction pipe is the cross-sectional area through which the liquid is sucked. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area of cylinder: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Angular Velocity: 1 Radian per Second --> 1 Radian per Second No Conversion Required
Length of stroke: 0.5 Meter --> 0.5 Meter No Conversion Required
Area of suction pipe: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (A*ω*L)/(2*pi*as) --> (0.5*1*0.5)/(2*pi*0.1)
Evaluating ... ...
V = 0.397887357729738
STEP 3: Convert Result to Output's Unit
0.397887357729738 Meter per Second --> No Conversion Required
0.397887357729738 Meter per Second <-- Mean velocity
(Calculation completed in 00.016 seconds)

## < 10+ Reciprocating pumps Calculators

Power required to drive double acting reciprocating pump
power = 2*Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000 Go
Power required to drive the pump
power = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000 Go
Weight of water delivered in terms of area, stroke length and speed
weight_of_liquid = Specific Weight*Area of piston*Length of stroke*Speed/60 Go
Slip percentage
slip_percentage = (1-(Actual discharge of a pump/Theoretical discharge of a pump))*100 Go
Co-efficient of discharge of pump
coefficient_of_discharge = Actual discharge/Theoretical discharge Go
Cross sectional area of piston given volume of liquid
area_of_piston = Volume of liquid sucked/Length of stroke Go
Length of the stroke given volume of liquid
Length_of_stroke = Volume of liquid sucked/Area of piston Go
Slip of the pump
pump_slippage = Theoretical discharge-Actual discharge Go
Weight of water delivered per second
weight_of_liquid = Specific Weight*Discharge Go
Slip Percentage in terms of coefficient of discharge
slip_percentage = (1-Coefficient of Discharge)*100 Go

### Mean velocity of air vessel in terms of length of stroke Formula

mean_velocity = (Area of cylinder*Angular Velocity*Length of stroke)/(2*pi*Area of suction pipe)
V = (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 in terms of length of stroke?

Mean velocity of air vessel in terms of 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 in terms of 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 V symbol.

How to calculate Mean velocity of air vessel in terms of length of stroke using this online calculator? To use this online calculator for Mean velocity of air vessel in terms of 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 in terms of length of stroke calculation can be explained with given input values -> 0.397887 = (0.5*1*0.5)/(2*pi*0.1).

### FAQ

What is Mean velocity of air vessel in terms of length of stroke?
The Mean velocity of air vessel in terms of 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 V = (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 in terms of length of stroke?
The Mean velocity of air vessel in terms of 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 in terms of 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 10 other way(s) to calculate the same, which is/are as follows -
• weight_of_liquid = Specific Weight*Discharge
• power = Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000
• area_of_piston = Volume of liquid sucked/Length of stroke
• Length_of_stroke = Volume of liquid sucked/Area of piston
• weight_of_liquid = Specific Weight*Area of piston*Length of stroke*Speed/60
• power = 2*Specific Weight*Area of piston*Length of stroke*Speed*(Height of the centre of the cylinder+Height to which the liquid is raised)/60000
• coefficient_of_discharge = Actual discharge/Theoretical discharge
• pump_slippage = Theoretical discharge-Actual discharge
• slip_percentage = (1-Coefficient of Discharge)*100
• slip_percentage = (1-(Actual discharge of a pump/Theoretical discharge of a pump))*100
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