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: 0.75 Kilonewton per Cubic Meter --> 750 Newton per Cubic Meter (Check conversion here)
Area of Piston: 0.05 Square Meter --> 0.05 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 --> 750*0.05*0.88*100*(1.45+2.6)/60
Evaluating ... ...
W = 222.75
STEP 3: Convert Result to Output's Unit
222.75 Joule -->222.75 Newton Meter (Check conversion here)
FINAL ANSWER
222.75 Newton Meter <-- Work
(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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15 Double Acting Pumps Calculators

Pressure Head when Connecting Rod is not very long as compared to Crank Length
Go Pressure Head due to Acceleration = ((Length of Pipe 1*Area of cylinder*(Angular Velocity^2)*Radius of crank*cos(Angle turned by crank))/([g]*Area of pipe))*(cos(Angle turned by crank)+(cos(2*Angle turned by crank)/Ratio of length of connecting rod to crank length))
Work Done by Reciprocating Pump with Air Vessels Fitted to Suction and Delivery Pipes
Go Work = ((Density*Acceleration Due to Gravity*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)
Work done by pump per stroke against friction
Go Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2)
Work Done by Double-acting Pump considering all Head Losses
Go Work = (2*Specific Weight*Area of cylinder*Length of Stroke*Speed in RPM/60)*(Suction Head+Delivery Head+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes
Go 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)
Work Done by Double Acting Reciprocating Pump
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)
Work Done by Reciprocating Pumps
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
Power Required to Drive Double acting Reciprocating Pump
Go Power = 2*Specific Weight*Area of Piston*Length of Stroke*Speed*(Height of centre of cylinder+Height to which liquid is raised)/60
Rate of Flow of Liquid into Air Vessel given Stroke Length
Go Rate of Flow = (Area of cylinder*Angular Velocity*(Length of stroke/2))*(sin(Angle between crank and flow rate)-(2/pi))
Discharge of Double Acting Reciprocating Pump
Go Discharge = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))*(Speed/60)
Volume of liquid delivered in one revolution of crank- double acting reciprocating pump
Go Volume of Liquid = (pi/4)*Length of stroke*((2*(Piston Diameter^2))-(Diameter of piston rod^2))
Weight of Water Delivered by Reciprocating Pump given Speed
Go Weight of liquid = Specific Weight*Area of Piston*Length of Stroke*Speed/60
Discharge of Double Acting Reciprocating Pump neglecting Diameter of Piston Rod
Go Discharge = 2*Area of Piston*Length of stroke*Speed/60
Discharge of Reciprocating Pump
Go Discharge = Area of Piston*Length of stroke*Speed/60
Volume of liquid sucked in during suction stroke
Go Volume of liquid sucked = Area of Piston*Length of stroke

Work Done by Reciprocating Pumps Formula

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, The Work Done by Reciprocating Pumps is defined as the product of specific weight, area of piston, stroke length, speed and sum of height of center of cylinder and height to which liquid is raised divided by 60. 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 -> 222.75 = 750*0.05*0.88*100*(1.45+2.6)/60.

FAQ

What is Work Done by Reciprocating Pumps?
The Work Done by Reciprocating Pumps is defined as the product of specific weight, area of piston, stroke length, speed and sum of height of center of cylinder and height to which liquid is raised divided by 60 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?
The Work Done by Reciprocating Pumps is defined as the product of specific weight, area of piston, stroke length, speed and sum of height of center of cylinder and height to which liquid is raised divided by 60 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 5 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+((2/3)*Head loss due to friction in delivery pipe)+((2/3)*Head Loss due to Friction in Suction Pipe))
  • 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)
  • Work = ((Density*Acceleration Due to Gravity*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)
  • Work = (2/3)*Length of Stroke*(((4*Friction Factor*Length of Pipe)/(2*Pipe Diameter*Acceleration Due to Gravity))*((Area of cylinder/Area of delivery pipe)*(Angular Velocity*Crank radius))^2)
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