Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work Done = ((Density of Fluid*Acceleration Due To Gravity*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)
w = ((ρFluid*g*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd)
This formula uses 10 Variables
Variables Used
Work Done - (Measured in Joule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
Density of Fluid - (Measured in Kilogram per Meter³) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Acceleration Due To Gravity - (Measured in Meter per Square Second) - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.
Area of cylinder - (Measured in Square Meter) - Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface.
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).
Suction head - (Measured in Meter) - Suction head is the vertical height of the center line of the pump shaft.
Delivery head - (Measured in Meter) - Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered.
Head loss due to friction in suction pipe - (Measured in Meter) - 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.
Head loss due to friction in delivery pipe - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Density of Fluid: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Area of cylinder: 0.5 Square Meter --> 0.5 Square Meter No Conversion Required
Length of stroke: 0.5 Meter --> 0.5 Meter No Conversion Required
Speed in RPM: 50 --> No Conversion Required
Suction head: 7 Meter --> 7 Meter No Conversion Required
Delivery head: 5 Meter --> 5 Meter No Conversion Required
Head loss due to friction in suction pipe: 2 Meter --> 2 Meter No Conversion Required
Head loss due to friction in delivery pipe: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = ((ρFluid*g*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd) --> ((10*9.8*0.5*0.5*50)/60)*(7+5+0.66*2+0.66*3)
Evaluating ... ...
w = 312.375
STEP 3: Convert Result to Output's Unit
312.375 Joule -->0.312375 Kilojoule (Check conversion here)
FINAL ANSWER
0.312375 Kilojoule <-- Work Done
(Calculation completed in 00.047 seconds)

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3 Fluid Mechanics Calculators

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes
Work Done = ((Density of Fluid*Acceleration Due To Gravity*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) Go
Work Done by Double Acting Pump due to Friction in Suction and Delivery Pipes
Work Done = ((2*Density of Fluid*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) Go
Sonic velocity
Velocity = sqrt(Bulk Modulus/Density) Go

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes Formula

Work Done = ((Density of Fluid*Acceleration Due To Gravity*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)
w = ((ρFluid*g*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd)

What is single-acting pump?

Single-acting reciprocating pump consists of a piston of which only one side engages the fluid being displaced. The simplest example would be a syringe. Double-acting reciprocating pump engage with both sides of the piston, each stroke of the piston carries out both suction and expulsion at the same time.

What is the function of single-acting cylinder?

A single-acting cylinder in a reciprocating engine is a cylinder in which the working fluid acts on one side of the piston only. A single-acting cylinder relies on the load, springs, other cylinders, or the momentum of a flywheel, to push the piston back in the other direction.

How to Calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?

Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes calculator uses Work Done = ((Density of Fluid*Acceleration Due To Gravity*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) to calculate the Work Done, The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement. Work Done is denoted by w symbol.

How to calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes using this online calculator? To use this online calculator for Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes, enter Density of Fluid Fluid), Acceleration Due To Gravity (g), Area of cylinder (A), Length of stroke (L), Speed in RPM (N), Suction head (hs), Delivery head (hd), Head loss due to friction in suction pipe (hfs) & Head loss due to friction in delivery pipe (hfd) and hit the calculate button. Here is how the Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes calculation can be explained with given input values -> 0.312375 = ((10*9.8*0.5*0.5*50)/60)*(7+5+0.66*2+0.66*3).

FAQ

What is Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?
The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement and is represented as w = ((ρFluid*g*A*L*N)/60)*(hs+hd+0.66*hfs+0.66*hfd) or Work Done = ((Density of Fluid*Acceleration Due To Gravity*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). Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Area of cylinder is defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface, 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), Suction head is the vertical height of the center line of the pump shaft, Delivery head is vertical height of the liquid surface in the tank/reservoir to which the liquid is delivered, 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 & 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.
How to calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes?
The Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes formula is defined as the measure of energy transfer that occurs when fluid is moved over a distance by an external force at least part of which is applied in the direction of the displacement is calculated using Work Done = ((Density of Fluid*Acceleration Due To Gravity*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). To calculate Work Done by Single Acting Pump due to Friction in Suction and Delivery Pipes, you need Density of Fluid Fluid), Acceleration Due To Gravity (g), Area of cylinder (A), Length of stroke (L), Speed in RPM (N), Suction head (hs), Delivery head (hd), Head loss due to friction in suction pipe (hfs) & Head loss due to friction in delivery pipe (hfd). With our tool, you need to enter the respective value for Density of Fluid, Acceleration Due To Gravity, Area of cylinder, Length of stroke, Speed in RPM, Suction head, Delivery head, Head loss due to friction in suction pipe & Head loss due to friction in delivery pipe 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 Done?
In this formula, Work Done uses Density of Fluid, Acceleration Due To Gravity, Area of cylinder, Length of stroke, Speed in RPM, Suction head, Delivery head, Head loss due to friction in suction pipe & Head loss due to friction in delivery pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Work Done = ((2*Density of Fluid*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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