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Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Formula

GoWork Done by Double Acting Reciprocating Pump Formula

GoWork Done by Double-acting Pump considering all Head Losses Formula

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Work is done when a force that is applied to an object moves that object. Check FAQs

W = (\frac{ρ \cdot [g] \cdot A \cdot L \cdot N cr}{60}) \cdot (h s + h del + h fs + h fd)

W - Work?ρ - Density?A - Area of Cylinder?L - Length of Stroke?N_cr - Crank Speed?h_s - Suction Head?h_del - Delivery Head?h_fs - Head Loss due to Friction in Suction Pipe?h_fd - Head Loss due to Friction in Delivery Pipe?[g] - Gravitational acceleration on Earth?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Example

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Here is how the Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes equation looks like with Values.

Here is how the Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes equation looks like with Units.

Here is how the Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes equation looks like.

26.8042 = (\frac{1.225 \cdot 9.8066 \cdot 0.3 \cdot 0.88 \cdot 110}{60}) \cdot (1.1 + 2.01 + 0.9 + 0.6)

26.8042N*m = (\frac{1.225kg/m³ \cdot 9.8066m/s² \cdot 0.3m² \cdot 0.88m \cdot 110}{60}) \cdot (1.1m + 2.01m + 0.9m + 0.6m)

26.8042 = (\frac{1.225 \cdot 9.8066 \cdot 0.3 \cdot 0.88 \cdot 110}{60}) \cdot (1.1 + 2.01 + 0.9 + 0.6)

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Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Solution

Follow our step by step solution on how to calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

FIRST Step Consider the formula

W = (\frac{ρ \cdot [g] \cdot A \cdot L \cdot N cr}{60}) \cdot (h s + h del + h fs + h fd)

Next Step Substitute values of Variables

∴

W = (\frac{1.225kg/m³ \cdot [g] \cdot 0.3m² \cdot 0.88m \cdot 110}{60}) \cdot (1.1m + 2.01m + 0.9m + 0.6m)

Next Step Substitute values of Constants

∴

W = (\frac{1.225kg/m³ \cdot 9.8066m/s² \cdot 0.3m² \cdot 0.88m \cdot 110}{60}) \cdot (1.1m + 2.01m + 0.9m + 0.6m)

Next Step Prepare to Evaluate

∴

W = (\frac{1.225 \cdot 9.8066 \cdot 0.3 \cdot 0.88 \cdot 110}{60}) \cdot (1.1 + 2.01 + 0.9 + 0.6)

Next Step Evaluate

∴

W = 26.80421243885J

Next Step Convert to Output's Unit

∴

W = 26.80421243885N*m

LAST Step Rounding Answer

∴

W = 26.8042N*m

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Formula Elements

Variables

Constants

Work

Work is done when a force that is applied to an object moves that object.

Symbol: W

Measurement: EnergyUnit: N*m

Note: Value can be positive or negative.

Formulas to find Work

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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

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

Crank Speed

Crank Speed is the speed of the crank of the reciprocating pump.

Symbol: N_cr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Crank Speed

Suction Head

Suction Head is the vertical height of the center line of the pump shaft.

Symbol: h_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Suction Head

Delivery Head

Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered.

Symbol: h_del

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Delivery Head

Head Loss due to Friction in Suction Pipe

Head loss due to friction in suction pipe is ratio of product of friction coeff, length of suction pipe, and velocity squared to product of diameter of pipe and acceleration due to gravity.

Symbol: h_fs

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss due to Friction in Suction Pipe

Head Loss due to Friction in Delivery Pipe

Head loss due to friction in delivery pipe is ratio of product of friction coeff, length of delivery pipe, and velocity squared to product of diameter of delivery pipe and acceleration due to gravity.

Symbol: h_fd

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss due to Friction in Delivery Pipe

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Work

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}{3}) \cdot h fd) + ((\frac{2}{3}) \cdot h fs))

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}

How to Evaluate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes evaluator uses Work = ((Density*[g]*Area of Cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head Loss due to Friction in Delivery Pipe) to evaluate the Work, Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes formula is defined as the total energy transferred by the pump in lifting the fluid against gravity and overcoming frictional losses in the suction and delivery pipes of a reciprocating pump system. Work is denoted by W symbol.

How to evaluate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes using this online evaluator? To use this online evaluator for Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes, enter Density (ρ), Area of Cylinder (A), Length of Stroke (L), Crank Speed (N_cr), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head Loss due to Friction in Delivery Pipe (h_fd) and hit the calculate button.

FAQs on Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes

What is the formula to find Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

The formula of Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes is expressed as Work = ((Density*[g]*Area of Cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head Loss due to Friction in Delivery Pipe). Here is an example- 26.80421 = ((1.225*[g]*0.3*0.88*110)/60)*(1.1+2.01+0.9+0.6).

How to calculate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

With Density (ρ), Area of Cylinder (A), Length of Stroke (L), Crank Speed (N_cr), Suction Head (h_s), Delivery Head (h_del), Head Loss due to Friction in Suction Pipe (h_fs) & Head Loss due to Friction in Delivery Pipe (h_fd) we can find Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes using the formula - Work = ((Density*[g]*Area of Cylinder*Length of Stroke*Crank Speed)/60)*(Suction Head+Delivery Head+Head Loss due to Friction in Suction Pipe+Head Loss due to Friction in Delivery Pipe). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Work?

Here are the different ways to Calculate Work-

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)
Work=(2*Specific Weight*Area of Cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+(2*Head Loss due to Friction in Delivery Pipe)/3+(2*Head Loss due to Friction in Suction Pipe)/3)
Work=((2*Density*Area of Cylinder*Length of Stroke*Speed in RPM)/60)*(Suction Head+Delivery Head+0.66*Head Loss due to Friction in Suction Pipe+0.66*Head Loss due to Friction in Delivery Pipe)

Can the Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes be negative?

Yes, the Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes, measured in Energy can be negative.

Which unit is used to measure Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes is usually measured using the Newton Meter[N*m] for Energy. Joule[N*m], Kilojoule[N*m], Gigajoule[N*m] are the few other units in which Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes can be measured.

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Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Formula

​GoWork Done by Double Acting Reciprocating Pump Formula

​GoWork Done by Double-acting Pump considering all Head Losses Formula

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Example

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Solution

Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes Formula Elements

Other Formulas to find Work

Other formulas in Double Acting Pumps category

How to Evaluate Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes?

FAQs on Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes

Variable Name

GoWork Done by Double Acting Reciprocating Pump Formula

GoWork Done by Double-acting Pump considering all Head Losses Formula