# pump mechanical efficiency equation

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• ### Pump Efficiency - an overview | ScienceDirect Topics

The equation for calculating the pump efficiency is expressed as follows: (5-42) EFF = ( 80 − 0.2855 H + 3.78 × 10 − 4 H Q − 2.38 × 10 − 7 H Q 2 + 5.39 × 10 − 4 H 2 − 6.39 × 10 − 7 H 2 Q + 4 × 10 − 10 H 2 Q 2 ) ( 1 100 )

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• ### Pump Efficiency—What Is Efficiency?

2012-1-20 · The overall efficiency of a centrifugal pump is simply the ratio of the water (output) power to the shaft (input) power and is illustrated by the equation below: E f = P W P S Where:

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• ### Pump and Fan Efficiency - Engineering ToolBox

2021-5-7 · Mechanical components - like transmission gear and bearings - creates mechanical losses that reduces the power transferred from the motor shaft to the pump or fan impeller. The mechanical efficiency can be expressed as: ηm = (P - Pl) P (2) where. ηm = mechanical efficiency.

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• ### Pump Efficiency - uaex.edu

2014-4-16 · the mechanical horsepower input would be equal to the water horsepower output by the pump. No pump is 100 percent efficient, so the mechanical horsepower input will be greater than the water horsepower output. Lower efficiencies are due to energy losses caused by friction, leakages originating from pressure differentials within the pump case

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• ### How To Calculate Hydraulic Pump and Motor

On-site constraints often make it difficult to accurately measure pump efficiency under installed conditions by the same method that pump manufacturers traditionally use for works tests. In the ‘traditional’ technique, pump efficiency is calculated from equation (1) as follows: η = q.ρ.g.H ME.PW

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• ### The thermodynamic method - Pump Efficiency

2016-11-12 · The overall efficiency of a centrifugal pump is simply the ratio of the water (output) power to the shaft (input) power and is illustrated by the equation below. η = P W P S where η is efficiency, P w is the water power, and P s is the shaft power.

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• ### Pump ED 101

(10.1) Design rate = maximuminflowcapacity × 24h day pump volumetricefficiency × hpumped day The pump volumetric efficiency is essentially the percent fillage of liquids in the pump barrel. For effective pump-off control, 20 h/day pumping time is a good rule-of-thumb.

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• ### Pump Volumetric Efficiency - an overview |

2020-7-20 · Eqn. (1) is known as Euler momentum equation for pump or Euler head. Since radial entry ? ê1=0 ? ?1 =? 1 W.D. per unit weight = 1 (? ê2 2) N-m/N ----- (2) Q = Area x velocity of flow Q = ?1 1 x ? 1 Continuity equation Q = ?1 1 x ? 1= ?2 2 x ? 2

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• ### Pump Mechanical Efficiency

2018-4-3 · Processing... ... ...

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• ### Pump Efficiency Explained - Wexus Technologies Inc

2017-4-20 · Pump Efficiency Explained. by Nathan Taylor | Apr 20, 2017 ... mechanical efficiency is generally defined as the ratio of work output by a system to the work put into the system. It is a percentage, and it can never be greater than 100%. ... This brings us to our final form of the pumping efficiency equation for irrigation pumps:

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• ### Centrifugal Pump Efficiency Calculation - Chemical ...

2016-10-27 · Coupling Efficiency is obtained from Supplier Manual. Centrifugal pump efficiency equation. Centrifugal pump efficiency = Power Output from Pump Power Input to Pump * 100. Centrifugal Pump Efficiency and Discharge Temperature. Actual Power required in pump can also be derived from Heat balance across the pump.

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• ### How To Calculate Hydraulic Pump and Motor

2015-2-2 · Overall efficiency is simply the product of volumetric and mechanical/hydraulic efficiency. So continuing with the above example, the overall efficiency of the pump is 0.9 x 0.91 x 100 = 82%. Overall efficiency is used to calculate the drive power required by a pump at a given flow and pressure.

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• ### Theoretical Analysis of Mechanical Efﬁ ciency in Vane Pump

2010-4-16 · the cam contour and the vane tip on the mechanical efficiency and the design concept on the relationship between the cam lift and the vane thickness for the vane pump with high mechanical efﬁ ciency. 2. Nomenclature b : Width of cam ring, rotor and vane Fv: Pushing force of vane j : Coefﬁ cient for Tn deﬁ ned by equation ⑹ N : Pump speed pd

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• ### How to Define & Measure Centrifugal Pump

2020-11-5 · Some factors preventing the pump from obtaining higher efficiency are noise, vibration, recirculation and heat. Other impediments to pump efficiency include: Mechanical efficiency factors, which are mostly frictional losses from bearings, packing, mechanical seals, impeller/rotor imbalance, couplings and driver misalignment.

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• ### Pump Volumetric Efficiency - an overview |

The pump volumetric efficiency is essentially the percent fillage of liquids in the pump barrel. For effective pump-off control, 20 h/day pumping time is a good rule-of-thumb. The maximum reservoir inflow capacity should be used for the desired daily rate. Example 10.1 illustrates this equation.

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• ### Pump Power Calculation Formula | Specific speed of a ...

2018-9-22 · Pump Efficiency is the most important factor while calculating power consumption. So while selection of the higher rating of pump always choose best efficiency pump set. The following formula to help which type of efficiency rating pump is best. N . N = Number units power saving per year in KWH = Higher and lower overall efficiency of two pump ...

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• ### Unit 4: Centrifugal Pumps

2020-7-20 · Centrifugal Pump: Mechanical energy of motor is converted into pressure energy by ... Eqn. (1) is known as Euler momentum equation for pump or Euler head. Since radial entry ... Efficiencies of a Centrifugal Pump 1. Manometric efficiency ...

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• ### FLUID MECHANICS TUTORIAL No.8B CENTRIFUGAL PUMPS

2005-12-8 · Determine the correct size of pump and its speed to produce the required head and flow. SOLUTION Plot the data for the pump and determine that the optimal head and flow are 65 m and 0.036m3/s Calculate Ns at point A 11.85 65 1430 x 0.036 H N Q N 3/4 1/2 4 3 A 2 1 A A s = = = Calculate the Speed for a geometrically similar pump at the required ...

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• ### Pump Efficiency – Turbomachinery Aerodynamic Design

2020-12-18 · Most of pump textbooks say like, Pump efficiency = Volumetric x Hydraulic x Mechanical, and Hydraulic efficiency = (Head) (Head Theoretical). Where is then an equivalent isentropic efficiency equation that aero (i.e., hydrodynamic) design should focus on ?

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• ### Mechanical efficiency formula - at any instant the

Mechanical efficiency of a centrifugal pump is the ratio of the power available at the impeller to the power at the shaft of the centrifugal pump. The power at the shaft of the centrifugal pump is more than the power available at the impeller of the pump. Mathematically, mechanical efficiency formula is written as: The power at the impeller in.

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• ### Pump efficiency calculation and application

2021-2-26 · The efficiency of the pump is then the ratio in between the power actually gained by the fluid and the the power supplied at the shaft of the pump. There are actually 3 efficiencies that can be calculated, all related to different types of energy losses : Hydraulic efficiency; Mechanical efficiency

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• ### Calculating the Efficiency of Centrifugal Pumps|

2020-12-7 · Now, we can calculate the efficiency of this centrifugal pump: Pump Efficiency = Water horsepower/mechanical horsepower = 8.84/20 * 100 = 44% In this hypothetical example, our centrifugal pump has a peak efficiency of 44%. Which makes it a relatively poor design.

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• ### Centrifugal Pump Efficiency Calculation - Chemical ...

2016-10-27 · Coupling Efficiency is obtained from Supplier Manual. Centrifugal pump efficiency equation. Centrifugal pump efficiency = Power Output from Pump Power Input to Pump * 100. Centrifugal Pump Efficiency and Discharge Temperature. Actual Power required in pump can also be derived from Heat balance across the pump.

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• ### HEADS AND EFFICIENCIES OF A CENTRIFUGAL PUMP

2021-5-12 · The power at the impeller of the pump will be more than the power given to the water at outlet of the pump. Manometric efficiency will also be defined as the power given to the water at outlet of the pump to the power available at the impeller of the pump. ... Mechanical efficiency, ... STEADY FLOW ENERGY EQUATION FOR A TURBINE AND A COMPRESSOR.

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• ### Experiment (9): Centrifugal pump

2014-12-20 · The mechanical power input to the pump may be calculated as: P m = rotational force x angular distance = 2.π.n.t/60 where n is the rotational speed of pump in revolutions per minute and t is the shaft torque in N.m . The efficiency of the pump may be calculated as : Where Q is the volume flow rate in m3/s, and P m

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• ### Hydraulic Gerotor Pump Efficiency | Hydraulic Pump

Overall efficiency for the Hydreco Model 1919 gerotor pump is plotted in Fig. 4.22a (1200 rpm) and Fig. 4.22b (1800 rpm). Efficiency is near a maximum at 1000 psi, so the comparison will be made at this pressure. Efficiency is 87.5% at 1200 rpm and 88% at 1800 rpm.

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• ### (PDF) A New Method to Calculate Centrifugal Pump ...

according to equation (32) a sharp fall in efficiency . ... of total mechanical energy and the work done by shear stresses are investigated respectively. ... design/off-design operating points and ...

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• ### PERFORMANCE TEST OF A CENTRIFUGAL PUMP

2013-1-25 · loss in the associated piping. If section 1 is located at the pump inlet and section 2 at the pump outlet, the h l term in the mechanical energy equation is zero. If there is include piping, either upstream or downstream, the h l term may be greater than zero. For a given pump operating at a given rotational speed, there is only one operating

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• ### Pump Efficiency – Turbomachinery Aerodynamic Design

2020-12-18 · Most of pump textbooks say like, Pump efficiency = Volumetric x Hydraulic x Mechanical, and Hydraulic efficiency = (Head) (Head Theoretical). Where is then an equivalent isentropic efficiency equation that aero (i.e., hydrodynamic) design should focus on ?

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• ### Hydraulic Pumps and Motors: Considering Efficiency

2021-5-14 · Mechanical efficiency would be 91% (329 360 x 100 = 91%). Overall efficiency is simply the product of volumetric and mechanical/hydraulic efficiency. Continuing with the above example, the overall efficiency of the pump is 0.9 x 0.91 x 100 = 82%. Typical overall efficiencies for different types of hydraulic pumps are shown in the Table 1.

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• ### Understanding Horsepower and Water Horsepower:

2017-10-24 · the pump must be greater than the water horsepower leaving the pump. The efficiency of any given pump (η) is a ratio defined as the water horsepower out divided by the mechanical horsepower into the pump. η = water hp out hp into pump 0 < η < 1 If the pump in the last example uses 17.0 HP to provide 13.0 WHP, the pump efficiency is:

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• ### Pump power calculations - sample problem -

Pump shaft power requirement = Theoretical power requirement pump efficiency. For a pump that has been already purchased or has been ordered for manufacturing, the efficiency can be determined using the pump performance curves provided by pump manufacturer. Here the problem statement has specified pump efficiency to be 70%. Hence, pump shaft ...

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• ### ShareTechnote

2017-8-22 · Example 1 > The efficiency of a Pump . Let's suppose we have a pump that is flowing the water as shown below. Various information about the pump and water flow are given. Estimate the efficiency of this pump. Solution > First write down the efficiency calculation equation and see if you have all the information to evaluate the equation.

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• ### MULTISTAGE PUMP EFFICIENCY GAINS THROUGH THE

2016-1-10 · Total pump efficiency is defined by the product of the pump’s hydraulic, volumetric, and mechanical efficiencies. When the balance line is closed, the pump’s volumetric efficiency is increased. The volumetric efficiency of a multistage pump is defined as the capacity of the first stage impeller versus the discharge flow rate of the pump. (2 ...

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• ### Design Calculation and Performance Analysis of Single ...

2019-8-20 · 0 = overall efficiency . Pump efficiency is . 0 = m v×η r (5) Where, η m = mechanical efficiency r =hydraulic efficiency η v= volumetric efficiency The inlet area of a impeller is; 2 1 4 D 1 π A = (6) Where, D1 = inlet impeller diameter . The outlet area of a impeller is; A2=πD2b2 (7) Where, D2 = outlet impeller diameter . b2 = impeller ...

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• ### PERFORMANCE TEST OF A CENTRIFUGAL PUMP

2013-1-25 · loss in the associated piping. If section 1 is located at the pump inlet and section 2 at the pump outlet, the h l term in the mechanical energy equation is zero. If there is include piping, either upstream or downstream, the h l term may be greater than zero. For a given pump operating at a given rotational speed, there is only one operating

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• ### How to Estimate Compressor Efficiency? | Campbell

2015-7-1 · a. Calculate the isentropic exponent (k) by Equation 3 using the average temperature defined by T = (T 1 +3T 2)/4. This form of average temperature was defined to obtain better match between the rigorous and shortcut method results. b. Calculate the isentropic efficiency (η Isen) by Equation 5. c. Calculate the polytropic coefficient (n) by ...

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• ### Reciprocating Pump: Basic, Working Principle, Parts &

2021-5-13 · T he Reciprocating pump is a widely used positive displacement pump in many industries where large delivery pressure is required. In this kind of pump, the piston moves forward & backward and mechanical energy is converted into hydraulic energy.. These pumps are the best choice among all other kinds of pumps. In this session, we will learn all details about this Pump.

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• ### Centrifugal Pump Efficiency Calculation - EIT ...

Centrifugal pump efficiency equation. Centrifugal pump efficiency = Power Output from Pump Power Input to Pump * 100. Centrifugal Pump Efficiency and Discharge Temperature. Actual Power required in pump can also be derived from Heat balance across the pump.Difference in Heat flow Outlet and Heat flow inlet is the actual power required for the ...

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• ### Pump Efficiency - uaex.edu

2014-4-16 · pump efficiency only. Operators may want their pumping unit efficiency to be evaluated for the complete unit. If so, the efficiency of the motor or engine will be included, and the overall efficiency will be lower than pump efficiency. WHP = HQ 3960 Where H is the total head of the water in feet and Q is the flow rate in gallons per minute.

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• ### Pump efficiency | KSB

Pump efficiency (η) is also referred to as coupling or overall efficiency and characterises the ratio of pump power output (P Q) to power input (P) for the operating point in question:. Pump efficiency (η) is the product of mechanical (η m) and internal efficiency (η i).. The best pump efficiency (ηopt) is the highest efficiency for the rotational speed and fluid handled as specified in ...

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• ### Pump power calculations - sample problem -

Pump shaft power requirement = Theoretical power requirement pump efficiency. For a pump that has been already purchased or has been ordered for manufacturing, the efficiency can be determined using the pump performance curves provided by pump manufacturer. Here the problem statement has specified pump efficiency to be 70%. Hence, pump shaft ...

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• ### Part 7: Pumps and Turbines – The Bernoulli Equation |

Typically pumps have an efficiency (γ)which is the ratio of the power out (W out) to the power in (W in). It represents the losses in the pump due to friction and electrical efficiency. It is usually expressed as a percentage and will always be less than 100%. It should be applied in the equation as a …

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• ### ShareTechnote

2017-8-22 · Example 1 > The efficiency of a Pump . Let's suppose we have a pump that is flowing the water as shown below. Various information about the pump and water flow are given. Estimate the efficiency of this pump. Solution > First write down the efficiency calculation equation and see if you have all the information to evaluate the equation.

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• ### Overall Efficiency of pumps in parallel - Pump

2007-7-17 · For a pump, the efficiency equation is, A pump's differential head (in feet) is calculated from suction and discharge pressures as, dH_ft = (disch_press_psig - suction_press_psig) * 144 62.4 SG where, SG is the fluid's specific gravity (=1.0 for water). Hydraulic power (power to be delivered to the fluid) for each pump is,

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• ### Pump Volumetric Efficiency - vCalc

2018-4-3 · Processing... ... ...

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• ### Thermodynamis - oil pump efficiency? | Physics Forums

2006-8-11 · An oil pump is drawing 35kW of electric power while pumping oil with a density of 860kg/m^3 at a rate of 0.1m^3/s. The inlet and outlet diameters of the pipe are 8cm and 12cm, respectively. If the pressure rise of the oil in the pump is 400 kPa and the motor efficiency is 90%, determine the mechanical efficiency of the pump.

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• ### Experiment (9): Centrifugal pump Introduction

2014-1-7 · The mechanical power input to the pump may be calculated as: P m = rotational force x angular distance = 2.π.n.t/60 where n is the rotational speed of pump in revolutions per minute and t is the shaft torque in N.m . The efficiency of the pump may be calculated as : Where Q is the volume flow rate in 3m /s, and P m

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• ### Pump efficiency | KSB

Pump efficiency (η) is also referred to as coupling or overall efficiency and characterises the ratio of pump power output (P Q) to power input (P) for the operating point in question:. Pump efficiency (η) is the product of mechanical (η m) and internal efficiency (η i).. The best pump efficiency (ηopt) is the highest efficiency for the rotational speed and fluid handled as specified in ...

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• ### Centrifugal Pump Efficiency Calculation - EIT ...

Centrifugal pump efficiency equation. Centrifugal pump efficiency = Power Output from Pump Power Input to Pump * 100. Centrifugal Pump Efficiency and Discharge Temperature. Actual Power required in pump can also be derived from Heat balance across the pump.Difference in Heat flow Outlet and Heat flow inlet is the actual power required for the ...

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• ### THE THEORY AND APPLICATION OF TRUE WEIGHTED

2019-11-25 · Equation 1 The power consumed by the pump is typically denoted as P 2, and designated in literature as pump power or pump shaft power, which is the mechanical power input to the pump shaft. The total pump input power is typically denoted as P 1. When the input power is

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• ### Pump Volumetric Efficiency - vCalc

2018-4-3 · Processing... ... ...

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• ### Overall Efficiency of pumps in parallel - Pump

2007-7-17 · For a pump, the efficiency equation is, A pump's differential head (in feet) is calculated from suction and discharge pressures as, dH_ft = (disch_press_psig - suction_press_psig) * 144 62.4 SG where, SG is the fluid's specific gravity (=1.0 for water). Hydraulic power (power to be delivered to the fluid) for each pump is,

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• ### Chapter 7 The Energy Equation - civilittee-hu.com

2020-12-7 · 7.4 Power Equation Efficiency the ratio of power output to power input Mechanical efficiency of the pump is , the power output delivered by the pump to the flow is Where power supplied to pump, usually by a rotating shaft that is connected to a motor. For a turbine, the output power is usually delivered by a rotating shaft to a generator

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• ### Part 7: Pumps and Turbines – The Bernoulli Equation |

Typically pumps have an efficiency (γ)which is the ratio of the power out (W out) to the power in (W in). It represents the losses in the pump due to friction and electrical efficiency. It is usually expressed as a percentage and will always be less than 100%. It should be applied in the equation as a …

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• ### Experiment #10: Pumps – Applied Fluid Mechanics

The right side of this equation is the manometric pressure head, H m, therefore: Figure 10.3: Schematic pump–pipe system 7.2. Power and Efficiency. The hydraulic power (W h) supplied to the fluid by the pump is the product of the pressure increase and the flow rate:

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• ### Thermodynamis - oil pump efficiency? | Physics Forums

2006-8-11 · An oil pump is drawing 35kW of electric power while pumping oil with a density of 860kg/m^3 at a rate of 0.1m^3/s. The inlet and outlet diameters of the pipe are 8cm and 12cm, respectively. If the pressure rise of the oil in the pump is 400 kPa and the motor efficiency is 90%, determine the mechanical efficiency of the pump.

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• ### What is the efficiency equation? - FindAnyAnswer.com

2020-4-2 · The efficiency is the energy output, divided by the energy input, and expressed as a percentage. A perfect process would have an efficiency of 100%. η = efficiency (Greek letter 'eta') Wout = the work or energy produced by a process. Units are Joules (J).

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