Mechanical Efficiency given Theoretical and Actual Torque Calculator

✖Theoretical torque is the theoretical value of the torque developed by the pump.ⓘ Theoretical Torque [T_th]			+10% -10%
✖Actual Torque is the actual value of torque supplied to the pump.ⓘ Actual Torque [T_actual]			+10% -10%

✖Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency given Theoretical and Actual Torque [η_m]

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Formula

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Mechanical Efficiency given Theoretical and Actual Torque

Formula

`"η"_{"m"} = "T"_{"th"}/"T"_{"actual"}`

Example

`"0.6"="120N*m"/"200N*m"`

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Mechanical Efficiency given Theoretical and Actual Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Efficiency = Theoretical Torque/Actual Torque
η_m = T_th/T_actual
This formula uses 3 Variables

Variables Used

Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Theoretical Torque - (Measured in Newton Meter) - Theoretical torque is the theoretical value of the torque developed by the pump.
Actual Torque - (Measured in Newton Meter) - Actual Torque is the actual value of torque supplied to the pump.

STEP 1: Convert Input(s) to Base Unit

Theoretical Torque: 120 Newton Meter --> 120 Newton Meter No Conversion Required
Actual Torque: 200 Newton Meter --> 200 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_m = T_th/T_actual --> 120/200

Evaluating ... ...

η_m = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Mechanical Efficiency

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Mechanical Efficiency given Theoretical and Actual Torque

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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 Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 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

Mechanical Efficiency given Theoretical and Actual Torque Formula

Mechanical Efficiency = Theoretical Torque/Actual Torque
η_m = T_th/T_actual

What are some applications of piston pumps?

Piston pumps are used for water and oil hydraulics, industrial processing equipment, high pressure cleaning and the pumping of liquids.

How to Calculate Mechanical Efficiency given Theoretical and Actual Torque?

Mechanical Efficiency given Theoretical and Actual Torque calculator uses Mechanical Efficiency = Theoretical Torque/Actual Torque to calculate the Mechanical Efficiency, Mechanical Efficiency given Theoretical and Actual Torque is a measure of how efficiently a machine or device converts input mechanical power into useful output mechanical power. In the context of a piston pump, mechanical efficiency refers to the effectiveness of the pump in converting the input mechanical power (usually provided by an external power source, such as an electric motor or an engine) into the output mechanical power delivered by the pump. Mechanical Efficiency is denoted by η_m symbol.

How to calculate Mechanical Efficiency given Theoretical and Actual Torque using this online calculator? To use this online calculator for Mechanical Efficiency given Theoretical and Actual Torque, enter Theoretical Torque (T_th) & Actual Torque (T_actual) and hit the calculate button. Here is how the Mechanical Efficiency given Theoretical and Actual Torque calculation can be explained with given input values -> 0.6 = 120/200.

FAQ

What is Mechanical Efficiency given Theoretical and Actual Torque?

Mechanical Efficiency given Theoretical and Actual Torque is a measure of how efficiently a machine or device converts input mechanical power into useful output mechanical power. In the context of a piston pump, mechanical efficiency refers to the effectiveness of the pump in converting the input mechanical power (usually provided by an external power source, such as an electric motor or an engine) into the output mechanical power delivered by the pump and is represented as η_m = T_th/T_actual or Mechanical Efficiency = Theoretical Torque/Actual Torque. Theoretical torque is the theoretical value of the torque developed by the pump & Actual Torque is the actual value of torque supplied to the pump.

How to calculate Mechanical Efficiency given Theoretical and Actual Torque?

Mechanical Efficiency given Theoretical and Actual Torque is a measure of how efficiently a machine or device converts input mechanical power into useful output mechanical power. In the context of a piston pump, mechanical efficiency refers to the effectiveness of the pump in converting the input mechanical power (usually provided by an external power source, such as an electric motor or an engine) into the output mechanical power delivered by the pump is calculated using Mechanical Efficiency = Theoretical Torque/Actual Torque. To calculate Mechanical Efficiency given Theoretical and Actual Torque, you need Theoretical Torque (T_th) & Actual Torque (T_actual). With our tool, you need to enter the respective value for Theoretical Torque & Actual Torque 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 Mechanical Efficiency?

In this formula, Mechanical Efficiency uses Theoretical Torque & Actual Torque. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mechanical Efficiency = Theoretical Power Delivered/Actual Power Delivered

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