Rate of Flow of Liquid into Air Vessel given Stroke Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
Qr = (A*ω*(L/2))*(sin(θ)-(2/pi))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
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.
Angle between crank and flow rate - (Measured in Radian) - Angle between crank and flow rate is defined as the angle made by crank with the inner dead center.
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: 0.6 Meter --> 0.6 Meter No Conversion Required
Angle between crank and flow rate: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qr = (A*ω*(L/2))*(sin(θ)-(2/pi)) --> (0.6*2.5*(0.6/2))*(sin(1.0471975511964)-(2/pi))
Evaluating ... ...
Qr = 0.103232534137541
STEP 3: Convert Result to Output's Unit
0.103232534137541 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.103232534137541 0.103233 Cubic Meter per Second <-- Rate of Flow
(Calculation completed in 00.004 seconds)

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15 Double Acting Pumps Calculators

Pressure Head when Connecting Rod is not very long as compared to Crank Length
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))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length))
Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes
Go Work = ((Density*Acceleration Due to Gravity*Area of cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head loss due to friction in delivery pipe)
Work done by pump per stroke against friction
Go Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2)
Work Done by Double-acting Pump considering all Head Losses
Go Work = (2*Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes
Go Work = ((2*Density*Area of cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head loss due to friction in delivery pipe)
Work Done by Double Acting Reciprocating Pump
Go Work = 2*Specific Weight*Area of Piston*Length of Stroke*(Speed in RPM/60)*(Height of centre of cylinder+Height to which liquid is raised)
Work Done by Reciprocating Pumps
Go Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of centre of cylinder+Height to which liquid is raised)/60
Power Required to Drive Double acting Reciprocating Pump
Go Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
Rate of Flow of Liquid into Air Vessel given Stroke Length
Go Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
Discharge of Double Acting Reciprocating Pump
Go Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)
Volume of liquid delivered in one revolution of crank- double acting reciprocating pump
Go Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))
Weight of Water Delivered by Reciprocating Pump given Speed
Go Weight of liquid = Specific Weight*Area of Piston*Length of Stroke*Speed/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
Go Discharge = 2*Area of Piston*Length of stroke*Speed/60
Discharge of Reciprocating Pump
Go Discharge = Area of Piston*Length of stroke*Speed/60
Volume of liquid sucked in during suction stroke
Go Volume of liquid sucked = Area of Piston*Length of stroke

Rate of Flow of Liquid into Air Vessel given Stroke Length Formula

Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
Qr = (A*ω*(L/2))*(sin(θ)-(2/pi))

What is rate of flow of liquid?

The flow rate of a liquid is a measure of the volume of liquid that moves in a certain amount of time. The flow rate depends on the area of the pipe or channel that the liquid is moving through, and the velocity of the liquid.

What is air vessel ?

The air vessel is used as an accumulator to store compressed air, to separate condensate through cooling, and to compensate for pressure fluctuations in a compressed air distribution system. In water supply systems, air vessels are used as safety components to avoid surge pressure.

How to Calculate Rate of Flow of Liquid into Air Vessel given Stroke Length?

Rate of Flow of Liquid into Air Vessel given Stroke Length calculator uses Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi)) to calculate the Rate of Flow, The Rate of Flow of Liquid into Air Vessel given Stroke Length formula is defined as the measure of a volume of liquid that moves in a certain amount of time. Rate of Flow is denoted by Qr symbol.

How to calculate Rate of Flow of Liquid into Air Vessel given Stroke Length using this online calculator? To use this online calculator for Rate of Flow of Liquid into Air Vessel given Stroke Length, enter Area of cylinder (A), Angular Velocity (ω), Length of stroke (L) & Angle between crank and flow rate (θ) and hit the calculate button. Here is how the Rate of Flow of Liquid into Air Vessel given Stroke Length calculation can be explained with given input values -> 0.068822 = (0.6*2.5*(0.6/2))*(sin(1.0471975511964)-(2/pi)).

FAQ

What is Rate of Flow of Liquid into Air Vessel given Stroke Length?
The Rate of Flow of Liquid into Air Vessel given Stroke Length formula is defined as the measure of a volume of liquid that moves in a certain amount of time and is represented as Qr = (A*ω*(L/2))*(sin(θ)-(2/pi)) or Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi)). 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 & Angle between crank and flow rate is defined as the angle made by crank with the inner dead center.
How to calculate Rate of Flow of Liquid into Air Vessel given Stroke Length?
The Rate of Flow of Liquid into Air Vessel given Stroke Length formula is defined as the measure of a volume of liquid that moves in a certain amount of time is calculated using Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi)). To calculate Rate of Flow of Liquid into Air Vessel given Stroke Length, you need Area of cylinder (A), Angular Velocity (ω), Length of stroke (L) & Angle between crank and flow rate (θ). With our tool, you need to enter the respective value for Area of cylinder, Angular Velocity, Length of stroke & Angle between crank and flow rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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