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Work Done by Single-acting Pump considering all Head Losses Formula

GoWork done against friction in suction pipe Formula

GoWork done against friction in delivery pipe Formula

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

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

W - Work?SW - Specific Weight?A - Area of cylinder?L - Length of Stroke?N - Speed in RPM?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?

Work Done by Single-acting Pump considering all Head Losses Example

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Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like with Values.

Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like with Units.

Here is how the Work Done by Single-acting Pump considering all Head Losses equation looks like.

10296 = (0.75 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 2.4) + ((\frac{2}{3}) \cdot 3))

10296N*m = (0.75kN/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 2.4m) + ((\frac{2}{3}) \cdot 3m))

10296 = (0.75 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 2.4) + ((\frac{2}{3}) \cdot 3))

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Work Done by Single-acting Pump considering all Head Losses Solution

Follow our step by step solution on how to calculate Work Done by Single-acting Pump considering all Head Losses?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = (0.75kN/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 2.4m) + ((\frac{2}{3}) \cdot 3m))

Next Step Convert Units

∴

W = (750N/m³ \cdot 0.6m² \cdot 0.88m \cdot \frac{100}{60}) \cdot (7m + 5m + ((\frac{2}{3}) \cdot 2.4m) + ((\frac{2}{3}) \cdot 3m))

Next Step Prepare to Evaluate

∴

W = (750 \cdot 0.6 \cdot 0.88 \cdot \frac{100}{60}) \cdot (7 + 5 + ((\frac{2}{3}) \cdot 2.4) + ((\frac{2}{3}) \cdot 3))

Next Step Evaluate

∴

W = 10296J

LAST Step Convert to Output's Unit

∴

W = 10296N*m

Work Done by Single-acting Pump considering all Head Losses Formula Elements

Variables

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

Specific Weight

Specific Weight the ratio of a body’s weight P to its volume V.

Symbol: SW

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight

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

Speed in RPM

Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Speed in RPM

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

Other Formulas to find Work

Go Work done against friction in suction pipe

W = (\frac{2}{3}) \cdot L \cdot h fs

Go Work done against friction in delivery pipe

W = (\frac{2}{3}) \cdot L \cdot h fd

Other formulas in Single Acting Pumps category

Go Loss of head due to friction in suction pipe

h fs = (\frac{2 \cdot μ f \cdot l s}{D s \cdot [g]}) \cdot ({((\frac{A}{a s}) \cdot ω \cdot r \cdot \sin (θ crnk))}^{2})

Go Loss of head due to friction in delivery pipe

h fd = (\frac{2 \cdot μ f \cdot l d}{D d \cdot [g]}) \cdot ({((\frac{A}{a d}) \cdot ω \cdot r \cdot \sin (θ crnk))}^{2})

How to Evaluate Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses evaluator uses Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe)) to evaluate the Work, The Work Done by Single-acting Pump considering all Head Losses formula is defined as the product of specific weight, area of the cylinder, stroke length, speed divided by 60 and sum of suction head, delivery head, 2/3 of head loss due to friction during suction and delivery. Work is denoted by W symbol.

How to evaluate Work Done by Single-acting Pump considering all Head Losses using this online evaluator? To use this online evaluator for Work Done by Single-acting Pump considering all Head Losses, enter Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), 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 Single-acting Pump considering all Head Losses

What is the formula to find Work Done by Single-acting Pump considering all Head Losses?

The formula of Work Done by Single-acting Pump considering all Head Losses is expressed as Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe)). Here is an example- 10296 = (750*0.6*0.88*100/60)*(7+5+((2/3)*2.4)+((2/3)*3)).

How to calculate Work Done by Single-acting Pump considering all Head Losses?

With Specific Weight (SW), Area of cylinder (A), Length of Stroke (L), Speed in RPM (N), 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 Single-acting Pump considering all Head Losses using the formula - Work = (Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head Loss due to Friction in Suction Pipe)+((2/3)*Head loss due to friction in delivery pipe)).

What are the other ways to Calculate Work?

Here are the different ways to Calculate Work-

Work=(2/3)*Length of Stroke*Head Loss due to Friction in Suction Pipe
Work=(2/3)*Length of Stroke*Head loss due to friction in delivery pipe
Work=((Density*[g]*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 Single-acting Pump considering all Head Losses be negative?

Yes, the Work Done by Single-acting Pump considering all Head Losses, measured in Energy can be negative.

Which unit is used to measure Work Done by Single-acting Pump considering all Head Losses?

Work Done by Single-acting Pump considering all Head Losses 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 Single-acting Pump considering all Head Losses can be measured.

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Work Done by Single-acting Pump considering all Head Losses Formula

​GoWork done against friction in suction pipe Formula

​GoWork done against friction in delivery pipe Formula

Work Done by Single-acting Pump considering all Head Losses Example

Work Done by Single-acting Pump considering all Head Losses Solution

Work Done by Single-acting Pump considering all Head Losses Formula Elements

Other Formulas to find Work

Other formulas in Single Acting Pumps category

How to Evaluate Work Done by Single-acting Pump considering all Head Losses?

FAQs on Work Done by Single-acting Pump considering all Head Losses

Variable Name

GoWork done against friction in suction pipe Formula

GoWork done against friction in delivery pipe Formula