Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump
Qth = Vp*Nd1
This formula uses 3 Variables
Variables Used
Theoretical Discharge of Pump - (Measured in Cubic Meter per Second) - Theoretical Discharge of Pump is the volume of liquid pumped out in unit time.
Theoretical Volumetric Displacement in Piston Pump - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.
Angular Speed of Driving Member in Piston Pump - (Measured in Radian per Second) - The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member.
STEP 1: Convert Input(s) to Base Unit
Theoretical Volumetric Displacement in Piston Pump: 0.039 Cubic Meter Per Revolution --> 0.039 Cubic Meter Per Revolution No Conversion Required
Angular Speed of Driving Member in Piston Pump: 20.49 Revolution per Minute --> 2.14570778229256 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qth = Vp*Nd1 --> 0.039*2.14570778229256
Evaluating ... ...
Qth = 0.0836826035094098
STEP 3: Convert Result to Output's Unit
0.0836826035094098 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.0836826035094098 0.083683 Cubic Meter per Second <-- Theoretical Discharge of Pump
(Calculation completed in 00.020 seconds)

Credits

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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19 Piston Pumps Calculators

Efficiency of Jet Pump
Go Efficiency of Jet Pump = (Discharge through Suction Pipe*(Suction Head+Delivery Head))/(Discharge through Nozzle*(Pressure Head on Delivery Side-Delivery Head))
Angle of Swash Plate Inclination given Volumetric Displacement
Go Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore))
Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination
Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)
Tan of Angle of Swash Plate Inclination given Volumetric Displacement
Go Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)
Piston Pump Constant K
Go Piston Pump Constant = (pi*Number of Pistons*Piston Diameter^2*Pitch Circle Diameter of Bore)/4
Stroke Length of Piston Pump given Volumetric Displacement
Go Stroke Length of Piston Pump = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston)
Area of Piston Pump given Volumetric Displacement
Go Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump)
Theoretical Volumetric Displacement given Area of Piston and Stroke Length
Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Stroke Length of Piston Pump
Theoretical Power of Piston Pump
Go Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque
Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump
Go Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump
Swash Plate Inclination with Axis of Cylinder
Go Swash Plate Inclination = atan(Stroke Length of Piston Pump/Pitch Circle Diameter of Bore)
Stroke Length of Axial Piston Pump
Go Stroke Length of Piston Pump = Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)
Actual Torque Developed in Piston Pumps
Go Actual Torque = (60*Input Power)/(2*pi*Angular Speed of Driving Member in Piston Pump)
Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump
Go Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump
Tan of Angle of Inclination of Swash Plate
Go Tan of Angle of Inclination = Stroke Length of Piston Pump/Pitch Circle Diameter of Bore
Overall Efficiency of Piston Pump
Go Overall Efficiency = Mechanical Efficiency*Volumetric Efficiency of Piston Pump
Overall Efficiency given Actual and Theoretical Discharge
Go Overall Efficiency = Actual Discharge of Pump/Theoretical Discharge of Pump
Mechanical Efficiency given Theoretical and Actual Power Delivered
Go Mechanical Efficiency = Theoretical Power Delivered/Actual Power Delivered
Mechanical Efficiency given Theoretical and Actual Torque
Go Mechanical Efficiency = Theoretical Torque/Actual Torque

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump Formula

Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump
Qth = Vp*Nd1

What are the two major types of piston pumps?

The two major types of piston pumps are: 1. Axial piston pumps and 2. Radial piston pumps. This classification is based on their orientation.

How to Calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump calculator uses Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump to calculate the Theoretical Discharge of Pump, Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics. Theoretical Discharge of Pump is denoted by Qth symbol.

How to calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump using this online calculator? To use this online calculator for Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump, enter Theoretical Volumetric Displacement in Piston Pump (Vp) & Angular Speed of Driving Member in Piston Pump (Nd1) and hit the calculate button. Here is how the Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump calculation can be explained with given input values -> 0.085828 = 0.039*2.14570778229256.

FAQ

What is Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?
Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics and is represented as Qth = Vp*Nd1 or Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump. Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution & The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member.
How to calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump?
Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump refers to the ideal or calculated flow rate that the pump should deliver under ideal conditions. It is typically determined based on the pump's design parameters and operating characteristics is calculated using Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump. To calculate Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump, you need Theoretical Volumetric Displacement in Piston Pump (Vp) & Angular Speed of Driving Member in Piston Pump (Nd1). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement in Piston Pump & Angular Speed of Driving Member in Piston Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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