Efficiency of Propulsion given Head Loss due to Friction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height)
η = 2*V*u/((V+u)^2+2*[g]*h)
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Efficiency of Jet - Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
Velocity of Ship - (Measured in Meter per Second) - Velocity of Ship is velocity of jet in ship that makes it move.
Impulse Height - (Measured in Meter) - Impulse height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
STEP 1: Convert Input(s) to Base Unit
Absolute Velocity of Issuing Jet: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Velocity of Ship: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Impulse Height: 12.11 Meter --> 12.11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = 2*V*u/((V+u)^2+2*[g]*h) --> 2*6*4.1/((6+4.1)^2+2*[g]*12.11)
Evaluating ... ...
η = 0.144907447333587
STEP 3: Convert Result to Output's Unit
0.144907447333587 --> No Conversion Required
FINAL ANSWER
0.144907447333587 0.144907 <-- Efficiency of Jet
(Calculation completed in 00.006 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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NSS College of Engineering (NSSCE), Palakkad
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10+ Jet Propulsion of Ships Calculators

Efficiency of Propulsion given Head Loss due to Friction
Go Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height)
Area of Issuing Jet given Work done by Jet on Ship
Go Cross Sectional Area of Jet = (Work done*[g])/(Absolute Velocity of Issuing Jet*Velocity of Ship*Specific Weight of Liquid)
Efficiency of Propulsion
Go Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2)
Velocity of Jet Relative to Motion of Ship given Kinetic Energy
Go Relative Velocity = sqrt(Kinetic Energy*2*[g]/Weight of Body)
Area of Issuing Jet given Weight of Water
Go Cross Sectional Area of Jet = Weight of Water/(Specific Weight of Liquid*Relative Velocity)
Absolute Velocity of Issuing jet given Propelling Force
Go Absolute Velocity of Issuing Jet = [g]*Force of Fluid/Weight of Water
Propelling Force
Go Force of Fluid = Weight of Water*Absolute Velocity of Issuing Jet/[g]
Kinetic Energy of Water
Go Kinetic Energy = Weight of Water*(Flow Velocity^2)/(2*[g])
Absolute Velocity of Issuing Jet given Relative Velocity
Go Absolute Velocity of Issuing Jet = Relative Velocity-Velocity of Ship
Velocity of Moving Ship given Relative Velocity
Go Velocity of Ship = Relative Velocity-Absolute Velocity of Issuing Jet

Efficiency of Propulsion given Head Loss due to Friction Formula

Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height)
η = 2*V*u/((V+u)^2+2*[g]*h)

What is Propulsion?

Propulsion is the action or process of pushing or pulling to drive an object forward. The term is derived from two Latin words: pro, meaning before or forward; and pellere, meaning to drive. A propulsion system consists of a source of mechanical power, and a proposer.

How to Calculate Efficiency of Propulsion given Head Loss due to Friction?

Efficiency of Propulsion given Head Loss due to Friction calculator uses Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height) to calculate the Efficiency of Jet, The Efficiency of Propulsion given head Loss due to Friction is defined as the ratio of power delivered to that of actual power delivered on the jet. Efficiency of Jet is denoted by η symbol.

How to calculate Efficiency of Propulsion given Head Loss due to Friction using this online calculator? To use this online calculator for Efficiency of Propulsion given Head Loss due to Friction, enter Absolute Velocity of Issuing Jet (V), Velocity of Ship (u) & Impulse Height (h) and hit the calculate button. Here is how the Efficiency of Propulsion given Head Loss due to Friction calculation can be explained with given input values -> 0.261846 = 2*6*4.1/((6+4.1)^2+2*[g]*12.11).

FAQ

What is Efficiency of Propulsion given Head Loss due to Friction?
The Efficiency of Propulsion given head Loss due to Friction is defined as the ratio of power delivered to that of actual power delivered on the jet and is represented as η = 2*V*u/((V+u)^2+2*[g]*h) or Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height). Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller, Velocity of Ship is velocity of jet in ship that makes it move & Impulse height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
How to calculate Efficiency of Propulsion given Head Loss due to Friction?
The Efficiency of Propulsion given head Loss due to Friction is defined as the ratio of power delivered to that of actual power delivered on the jet is calculated using Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2+2*[g]*Impulse Height). To calculate Efficiency of Propulsion given Head Loss due to Friction, you need Absolute Velocity of Issuing Jet (V), Velocity of Ship (u) & Impulse Height (h). With our tool, you need to enter the respective value for Absolute Velocity of Issuing Jet, Velocity of Ship & Impulse Height 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 Efficiency of Jet?
In this formula, Efficiency of Jet uses Absolute Velocity of Issuing Jet, Velocity of Ship & Impulse Height. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Efficiency of Jet = 2*Absolute Velocity of Issuing Jet*Velocity of Ship/((Absolute Velocity of Issuing Jet+Velocity of Ship)^2)
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