Rate of flow of liquid into air vessel 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%
✖Crank Radius is defined as the measurement of its radius.ⓘ Crank Radius [r_c]			+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 [Q_r]

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Rate of flow of liquid into air vessel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(sin(Angle Between Crank And Flow Rate)-2/pi)
Q_r = A*ω*r_c*(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.
Crank Radius - (Measured in Meter) - Crank Radius is defined as the measurement of its radius.
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
Crank Radius: 3.71 Meter --> 3.71 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*r_c*(sin(θ)-2/pi) --> 0.6*2.5*3.71*(sin(1.0471975511964)-2/pi)

Evaluating ... ...

Q_r = 1.27664233883426

STEP 3: Convert Result to Output's Unit

1.27664233883426 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.27664233883426 ≈ 1.276642 Cubic Meter per Second <-- Rate of Flow

(Calculation completed in 00.004 seconds)

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< Flow Parameters Calculators

Velocity of Liquid in Pipe

LaTeX 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

LaTeX Go Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(sin(Angle Between Crank And Flow Rate)-2/pi)

Weight of Water delivered per second given Density and Discharge

LaTeX Go Weight of Water = Water Density*[g]*Discharge

Weight of water delivered per second

LaTeX Go Weight of Liquid = Specific Weight*Discharge

Rate of flow of liquid into air vessel Formula

LaTeX Go

Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(sin(Angle Between Crank And Flow Rate)-2/pi)
Q_r = A*ω*r_c*(sin(θ)-2/pi)

What is flow in water?

Flow, or volumetric flow rate, is simply the volume of fluid that passes per unit of time. In water resources, flow is often measured in units of cubic feet per second, cubic meters per second, gallons per minute, millions of gallons per day, or other various units.

What is an air vessel in fluid mechanics?

The air vessel, in a reciprocating pump, is a cast-iron closed chamber having an opening at its base. These are fitted to the suction pipe and delivery pipe close to the cylinder of the pump. The vessels are used for getting a continuous supply of liquid at a uniform rate.

How to Calculate Rate of flow of liquid into air vessel?

Rate of flow of liquid into air vessel calculator uses Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(sin(Angle Between Crank And Flow Rate)-2/pi) to calculate the Rate of Flow, Rate of flow of liquid into air vessel formula is defined as the volumetric flow rate of liquid entering an air vessel in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency in various industrial applications. Rate of Flow is denoted by Q_r symbol.

How to calculate Rate of flow of liquid into air vessel using this online calculator? To use this online calculator for Rate of flow of liquid into air vessel, enter Area of Cylinder (A), Angular Velocity (ω), Crank Radius (r_c) & Angle Between Crank And Flow Rate (θ) and hit the calculate button. Here is how the Rate of flow of liquid into air vessel calculation can be explained with given input values -> 1.276642 = 0.6*2.5*3.71*(sin(1.0471975511964)-2/pi).

FAQ

What is Rate of flow of liquid into air vessel?

Rate of flow of liquid into air vessel formula is defined as the volumetric flow rate of liquid entering an air vessel in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency in various industrial applications and is represented as Q_r = A*ω*r_c*(sin(θ)-2/pi) or Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(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, Crank Radius is defined as the measurement of its radius & 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?

Rate of flow of liquid into air vessel formula is defined as the volumetric flow rate of liquid entering an air vessel in a reciprocating pump, which is a critical parameter in determining the pump's performance and efficiency in various industrial applications is calculated using Rate of Flow = Area of Cylinder*Angular Velocity*Crank Radius*(sin(Angle Between Crank And Flow Rate)-2/pi). To calculate Rate of flow of liquid into air vessel, you need Area of Cylinder (A), Angular Velocity (ω), Crank Radius (r_c) & Angle Between Crank And Flow Rate (θ). With our tool, you need to enter the respective value for Area of Cylinder, Angular Velocity, Crank Radius & 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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