Rate of Flow of Liquid into Air Vessel given Stroke Length 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%
✖Angle between crank and flow rate is defined as the angle made by crank with the inner dead center.ⓘ Angle between crank and flow rate [θ]			+10% -10%

✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow of Liquid into Air Vessel given Stroke Length [Q_r]

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Formula

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Rate of Flow of Liquid into Air Vessel given Stroke Length

Formula

Q r = (A \cdot ω \cdot (\frac{L}{2})) \cdot (\sin (θ) - (\frac{2}{π}))

Example

0.103233 m³/s = (0.6 m² \cdot 2.5 rad/s \cdot (\frac{0.6 m}{2})) \cdot (\sin (60 °) - (\frac{2}{π}))

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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))
Q_r = (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

Q_r = (A*ω*(L/2))*(sin(θ)-(2/pi)) --> (0.6*2.5*(0.6/2))*(sin(1.0471975511964)-(2/pi))

Evaluating ... ...

Q_r = 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 00.020 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Reciprocating Pumps » Mechanical » Double Acting Pumps » Rate of Flow of Liquid into Air Vessel given Stroke Length

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< Double Acting Pumps Calculators

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 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)

Discharge of Double Acting Reciprocating Pump

Go Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)

Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod

Go Discharge = 2*Area of Piston*Length of stroke*Speed/60

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))
Q_r = (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 Q_r 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 Q_r = (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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