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 = (A*ω*r)*(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 - Trigonometric sine function, sin(Angle)
Variables Used
Rate of flow - (Measured in Meter³ 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 radius of the crank.
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: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Crank radius: 3.7 Millimeter --> 0.0037 Meter (Check conversion here)
Angle between crank and flow rate: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (A*ω*r)*(sin(θ)-(2/pi)) --> (0.5*2*0.0037)*(sin(1.0471975511964)-(2/pi))
Evaluating ... ...
Q = 0.000848800836242006
STEP 3: Convert Result to Output's Unit
0.000848800836242006 Meter³ per Second --> No Conversion Required
FINAL ANSWER
0.000848800836242006 Meter³ per Second <-- Rate of flow
(Calculation completed in 00.031 seconds)

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3 Air vessels Calculators

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes
Work Done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Crank Speed in RPM)/60)*(Suction head+Delivery head+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe) Go
Rate of flow of liquid into air vessel in terms of stroke length
Rate of flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi)) Go
Rate of flow of liquid into air vessel
Rate of flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi)) Go

Rate of flow of liquid into air vessel Formula

Rate of flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
Q = (A*ω*r)*(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, The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time. Rate of flow is denoted by Q 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) & 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 -> 0.000849 = (0.5*2*0.0037)*(sin(1.0471975511964)-(2/pi)).

FAQ

What is Rate of flow of liquid into air vessel?
The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time and is represented as Q = (A*ω*r)*(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 radius of the crank & 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?
The Rate of flow of liquid into air vessel formula is defined as the volume of fluid that passes per unit time 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) & 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.
How many ways are there to calculate Rate of flow?
In this formula, Rate of flow uses Area of cylinder, Angular Velocity, Crank radius & Angle between crank and flow rate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Rate of flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
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