Theoretical Discharge for Hydraulic Motors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Qth = VD*Ω
This formula uses 3 Variables
Variables Used
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
Theoretical Volumetric Displacement - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement is the amount of liquid displaced per revolution.
Angular Speed - (Measured in Radian per Second) - Angular Speed is defined as the rate of change of angular displacement.
STEP 1: Convert Input(s) to Base Unit
Theoretical Volumetric Displacement: 0.02 Cubic Meter Per Revolution --> 0.02 Cubic Meter Per Revolution No Conversion Required
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qth = VD*Ω --> 0.02*31.4159265342981
Evaluating ... ...
Qth = 0.628318530685962
STEP 3: Convert Result to Output's Unit
0.628318530685962 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.628318530685962 0.628319 Cubic Meter per Second <-- Theoretical Discharge
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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12 Hydraulic Motors Calculators

Theoretical Power given Volumetric Displacement
Go Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60
Theoretical Power
Go Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60
Actual Torque Delivered
Go Actual Torque = Actual Power Delivered/(2*pi*Angular Speed)
Theoretical Volumetric Displacement given Torque and Pressure
Go Theoretical Volumetric Displacement = Theoretical Torque/Pressure of Liquid Entering Motor
Pressure of Liquid Entering Motor
Go Pressure of Liquid Entering Motor = Theoretical Torque/Theoretical Volumetric Displacement
Theoretical Torque Developed
Go Theoretical Torque = Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor
Overall Efficiency Percentage
Go Overall Efficiency = (Volumetric Efficiency of Motor*Mechanical Efficiency)/100
Volumetric Efficiency of Motor given Theoretical and Actual Discharge
Go Volumetric Efficiency of Motor = Theoretical Discharge/Actual Discharge*100
Theoretical Discharge for Hydraulic Motors
Go Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Theoretical Discharge given Volumetric Efficiency
Go Theoretical Discharge = Volumetric Efficiency/100*Actual Discharge
Actual Discharge given Volumetric Efficiency
Go Actual Discharge = Theoretical Discharge/Volumetric Efficiency*100
Mechanical Efficiency
Go Mechanical Efficiency = Actual Torque/Theoretical Torque*100

Theoretical Discharge for Hydraulic Motors Formula

Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Qth = VD*Ω

What is slippage?

Slippage is the leakage through the motor, or the fluid that passes through the motor without performing work.

How to Calculate Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors calculator uses Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed to calculate the Theoretical Discharge, Theoretical Discharge for Hydraulic Motors refers to the calculated or predicted volumetric flow rate of fluid that the motor is designed to deliver under ideal conditions. It represents the maximum flow rate that the motor is theoretically capable of providing. Theoretical Discharge is denoted by Qth symbol.

How to calculate Theoretical Discharge for Hydraulic Motors using this online calculator? To use this online calculator for Theoretical Discharge for Hydraulic Motors, enter Theoretical Volumetric Displacement (VD) & Angular Speed (Ω) and hit the calculate button. Here is how the Theoretical Discharge for Hydraulic Motors calculation can be explained with given input values -> 0.628319 = 0.02*31.4159265342981.

FAQ

What is Theoretical Discharge for Hydraulic Motors?
Theoretical Discharge for Hydraulic Motors refers to the calculated or predicted volumetric flow rate of fluid that the motor is designed to deliver under ideal conditions. It represents the maximum flow rate that the motor is theoretically capable of providing and is represented as Qth = VD or Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed. Theoretical volumetric displacement is the amount of liquid displaced per revolution & Angular Speed is defined as the rate of change of angular displacement.
How to calculate Theoretical Discharge for Hydraulic Motors?
Theoretical Discharge for Hydraulic Motors refers to the calculated or predicted volumetric flow rate of fluid that the motor is designed to deliver under ideal conditions. It represents the maximum flow rate that the motor is theoretically capable of providing is calculated using Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed. To calculate Theoretical Discharge for Hydraulic Motors, you need Theoretical Volumetric Displacement (VD) & Angular Speed (Ω). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement & Angular Speed 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 Theoretical Discharge?
In this formula, Theoretical Discharge uses Theoretical Volumetric Displacement & Angular Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Theoretical Discharge = Volumetric Efficiency/100*Actual Discharge
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