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

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Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc. Check FAQs

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

Q_r - Rate of Flow?A - Area of Cylinder?ω - Angular Velocity?L - Length of Stroke?θ - Angle between Crank and Flow Rate?π - Archimedes' constant?

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

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Here is how the Rate of Flow of Liquid into Air Vessel given Stroke Length equation looks like with Values.

Here is how the Rate of Flow of Liquid into Air Vessel given Stroke Length equation looks like with Units.

Here is how the Rate of Flow of Liquid into Air Vessel given Stroke Length equation looks like.

0.0757 = (0.3 \cdot 2.5 \cdot (\frac{0.88}{2})) \cdot (\sin (60) - (\frac{2}{3.1416}))

0.0757m³/s = (0.3m² \cdot 2.5rad/s \cdot (\frac{0.88m}{2})) \cdot (\sin (60°) - (\frac{2}{3.1416}))

0.0757 = (0.3 \cdot 2.5 \cdot (\frac{0.88}{2})) \cdot (\sin (60) - (\frac{2}{3.1416}))

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

Follow our step by step solution on how to calculate Rate of Flow of Liquid into Air Vessel given Stroke Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q r = (0.3m² \cdot 2.5rad/s \cdot (\frac{0.88m}{2})) \cdot (\sin (60°) - (\frac{2}{π}))

Next Step Substitute values of Constants

∴

Q r = (0.3m² \cdot 2.5rad/s \cdot (\frac{0.88m}{2})) \cdot (\sin (60°) - (\frac{2}{3.1416}))

Next Step Convert Units

∴

Q r = (0.3m² \cdot 2.5rad/s \cdot (\frac{0.88m}{2})) \cdot (\sin (1.0472rad) - (\frac{2}{3.1416}))

Next Step Prepare to Evaluate

∴

Q r = (0.3 \cdot 2.5 \cdot (\frac{0.88}{2})) \cdot (\sin (1.0472) - (\frac{2}{3.1416}))

Next Step Evaluate

∴

Q r = 0.0757038583675303m³/s

LAST Step Rounding Answer

∴

Q r = 0.0757m³/s

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

Variables

Constants

Functions

Rate of Flow

Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.

Symbol: Q_r

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of Flow

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.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Cylinder

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Length of Stroke

Length of Stroke is the range of movement of piston.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Stroke

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.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between Crank and Flow Rate

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other formulas in Double Acting Pumps category

Go Discharge of Double Acting Reciprocating Pump

Q = \frac{π}{4} \cdot L \cdot (2 \cdot {d p}^{2} - d^{2}) \cdot \frac{N}{60}

Go Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod

Q = 2 \cdot A p \cdot L \cdot \frac{N}{60}

Go Work Done by Double Acting Reciprocating Pump

W = 2 \cdot SW \cdot A p \cdot L \cdot (\frac{N}{60}) \cdot (h coc + h d)

Go Work Done by Double-acting Pump considering all Head Losses

W = (2 \cdot SW \cdot A \cdot L \cdot \frac{N}{60}) \cdot (h s + h del + \frac{2 \cdot h fd}{3} + \frac{2 \cdot h fs}{3})

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

Rate of Flow of Liquid into Air Vessel given Stroke Length evaluator uses Rate of Flow = (Area of Cylinder*Angular Velocity*(Length of Stroke/2))*(sin(Angle between Crank and Flow Rate)-(2/pi)) to evaluate the Rate of Flow, Rate of Flow of Liquid into Air Vessel given Stroke Length formula is defined as the volumetric flow rate of liquid entering an air vessel in a reciprocating pump, influenced by factors such as stroke length, angular velocity, and angle of inclination, which significantly impact the pump's overall performance and efficiency. Rate of Flow is denoted by Q_r symbol.

How to evaluate Rate of Flow of Liquid into Air Vessel given Stroke Length using this online evaluator? To use this online evaluator 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.

FAQs on Rate of Flow of Liquid into Air Vessel given Stroke Length

What is the formula to find Rate of Flow of Liquid into Air Vessel given Stroke Length?

The formula of Rate of Flow of Liquid into Air Vessel given Stroke Length is expressed as Rate of Flow = (Area of Cylinder*Angular Velocity*(Length of Stroke/2))*(sin(Angle between Crank and Flow Rate)-(2/pi)). Here is an example- 0.078227 = (0.3*2.5*(0.88/2))*(sin(1.0471975511964)-(2/pi)).

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

With Area of Cylinder (A), Angular Velocity (ω), Length of Stroke (L) & Angle between Crank and Flow Rate (θ) we can find Rate of Flow of Liquid into Air Vessel given Stroke Length using the formula - Rate of Flow = (Area of Cylinder*Angular Velocity*(Length of Stroke/2))*(sin(Angle between Crank and Flow Rate)-(2/pi)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Rate of Flow of Liquid into Air Vessel given Stroke Length be negative?

Yes, the Rate of Flow of Liquid into Air Vessel given Stroke Length, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Rate of Flow of Liquid into Air Vessel given Stroke Length?

Rate of Flow of Liquid into Air Vessel given Stroke Length is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Rate of Flow of Liquid into Air Vessel given Stroke Length can be measured.

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

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

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

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

Other formulas in Double Acting Pumps category

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

FAQs on Rate of Flow of Liquid into Air Vessel given Stroke Length

Variable Name