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Rate of flow of liquid into air vessel in terms of 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 = (A*ω*(L/2))*(sin(θ)-(2/pi))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
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)
Angle between crank and flow rate - Angle between crank and flow rate is defined as the angle made by crank with the inner dead center. (Measured in Radian)
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
Angle between crank and flow rate: 30 Radian --> 30 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (A*ω*(L/2))*(sin(θ)-(2/pi)) --> (0.5*1*(0.5/2))*(sin(30)-(2/pi))
Evaluating ... ...
Q = -0.203081424557555
STEP 3: Convert Result to Output's Unit
-0.203081424557555 Meter³ per Second --> No Conversion Required
FINAL ANSWER
-0.203081424557555 Meter³ per Second <-- Rate of flow
(Calculation completed in 00.016 seconds)

3 Air vessels Calculators

Work done by reciprocating with air vessels fitted to suction and delivery pipes
work_done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Speed in r.p.m)/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 in terms of 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 = (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 in terms of stroke length?

Rate of flow of liquid into air vessel in terms of 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 in terms of 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 symbol.

How to calculate Rate of flow of liquid into air vessel in terms of stroke length using this online calculator? To use this online calculator for Rate of flow of liquid into air vessel in terms of 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 in terms of stroke length calculation can be explained with given input values -> -0.203081 = (0.5*1*(0.5/2))*(sin(30)-(2/pi)).

FAQ

What is Rate of flow of liquid into air vessel in terms of stroke length?
The Rate of flow of liquid into air vessel in terms of 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 = (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 in terms of stroke length?
The Rate of flow of liquid into air vessel in terms of 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 in terms of 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.
How many ways are there to calculate Rate of flow?
In this formula, Rate of flow uses Area of cylinder, Angular Velocity, Length of stroke & Angle between crank and flow rate. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • rate_of_flow = (Area of cylinder*Angular Velocity*Crank radius)*(sin(Angle between crank and flow rate)-(2/pi))
  • rate_of_flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
  • work_done = ((Density of Fluid*Acceleration Due To Gravity*Area of cylinder*Length of stroke*Speed in r.p.m)/60)*(Suction head+Delivery head+Head loss due to friction in suction pipe+Head loss due to friction in delivery pipe)
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