Work Done by Reciprocating Pumps Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60
W = SW*Ap*L*N*(hcoc+hd)/60
This formula uses 7 Variables
Variables Used
Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight the ratio of a body’s weight P to its volume V.
Area of Piston - (Measured in Square Meter) - Area of piston is the value of area of the piston in a piston pump.
Length of Stroke - (Measured in Meter) - Length of Stroke is the range of movement of piston.
Speed in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
Height of Centre of Cylinder - (Measured in Meter) - Height of centre of cylinder in meters.
Height to which Liquid is Raised - (Measured in Meter) - Height to which liquid is raised in meters.
STEP 1: Convert Input(s) to Base Unit
Specific Weight: 1.2 Newton per Cubic Meter --> 1.2 Newton per Cubic Meter No Conversion Required
Area of Piston: 0.312 Square Meter --> 0.312 Square Meter No Conversion Required
Length of Stroke: 0.88 Meter --> 0.88 Meter No Conversion Required
Speed in RPM: 100 --> No Conversion Required
Height of Centre of Cylinder: 1.45 Meter --> 1.45 Meter No Conversion Required
Height to which Liquid is Raised: 2.6 Meter --> 2.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = SW*Ap*L*N*(hcoc+hd)/60 --> 1.2*0.312*0.88*100*(1.45+2.6)/60
Evaluating ... ...
W = 2.223936
STEP 3: Convert Result to Output's Unit
2.223936 Joule -->2.223936 Newton Meter (Check conversion ​here)
FINAL ANSWER
2.223936 Newton Meter <-- Work
(Calculation completed in 00.004 seconds)

Credits

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Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Institute of Aeronautical Engineering (IARE), Hyderabad
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Double Acting Pumps Calculators

Work Done by Double-acting Pump considering all Head Losses
​ LaTeX ​ Go 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 Done by Double Acting Reciprocating Pump
​ LaTeX ​ Go 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)
Discharge of Double Acting Reciprocating Pump
​ LaTeX ​ Go Discharge = pi/4*Length of Stroke*(2*Piston Diameter^2-Diameter of Piston Rod^2)*Speed in RPM/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
​ LaTeX ​ Go Discharge = 2*Area of Piston*Length of Stroke*Speed in RPM/60

Work Done by Reciprocating Pumps Formula

​LaTeX ​Go
Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60
W = SW*Ap*L*N*(hcoc+hd)/60

What are reciprocating pumps?

The reciprocating pump is a positive displacement pump as it sucks and raises the liquid by actually displacing it with a piston/plunger that executes a reciprocating motion in a closely fitting cylinder. The amount of liquid pumped is equal to the volume displaced by the piston.

How to Calculate Work Done by Reciprocating Pumps?

Work Done by Reciprocating Pumps calculator uses Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60 to calculate the Work, Work Done by Reciprocating Pumps formula is defined as the total energy transferred by a reciprocating pump in a unit of time, which is a critical parameter in evaluating the performance of pumps in various industrial and engineering applications. Work is denoted by W symbol.

How to calculate Work Done by Reciprocating Pumps using this online calculator? To use this online calculator for Work Done by Reciprocating Pumps, enter Specific Weight (SW), Area of Piston (Ap), Length of Stroke (L), Speed in RPM (N), Height of Centre of Cylinder (hcoc) & Height to which Liquid is Raised (hd) and hit the calculate button. Here is how the Work Done by Reciprocating Pumps calculation can be explained with given input values -> 2.223936 = 1.2*0.312*0.88*100*(1.45+2.6)/60.

FAQ

What is Work Done by Reciprocating Pumps?
Work Done by Reciprocating Pumps formula is defined as the total energy transferred by a reciprocating pump in a unit of time, which is a critical parameter in evaluating the performance of pumps in various industrial and engineering applications and is represented as W = SW*Ap*L*N*(hcoc+hd)/60 or Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60. Specific Weight the ratio of a body’s weight P to its volume V, Area of piston is the value of area of the piston in a piston pump, Length of Stroke is the range of movement of piston, Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm), Height of centre of cylinder in meters & Height to which liquid is raised in meters.
How to calculate Work Done by Reciprocating Pumps?
Work Done by Reciprocating Pumps formula is defined as the total energy transferred by a reciprocating pump in a unit of time, which is a critical parameter in evaluating the performance of pumps in various industrial and engineering applications is calculated using Work = Specific Weight*Area of Piston*Length of Stroke*Speed in RPM*(Height of Centre of Cylinder+Height to which Liquid is Raised)/60. To calculate Work Done by Reciprocating Pumps, you need Specific Weight (SW), Area of Piston (Ap), Length of Stroke (L), Speed in RPM (N), Height of Centre of Cylinder (hcoc) & Height to which Liquid is Raised (hd). With our tool, you need to enter the respective value for Specific Weight, Area of Piston, Length of Stroke, Speed in RPM, Height of Centre of Cylinder & Height to which Liquid is Raised 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 Work?
In this formula, Work uses Specific Weight, Area of Piston, Length of Stroke, Speed in RPM, Height of Centre of Cylinder & Height to which Liquid is Raised. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
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