Maximum Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Efficiency = (1/2)*(1+cos(Theta))
ηmax = (1/2)*(1+cos(θ))
This formula uses 1 Functions, 2 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Maximum Efficiency - Maximum Efficiency is defined as the maximum amount of Power that is usefully transfered.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηmax = (1/2)*(1+cos(θ)) --> (1/2)*(1+cos(0.5235987755982))
Evaluating ... ...
ηmax = 0.933012701892219
STEP 3: Convert Result to Output's Unit
0.933012701892219 --> No Conversion Required
FINAL ANSWER
0.933012701892219 0.933013 <-- Maximum Efficiency
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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10+ Jet Striking a Symmetrical Moving Curved Vane at Centre Calculators

Velocity of Vane given Exerted Force by Jet
Go Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet)
Work Done by Jet on Vane per Second
Go Work Done = ((Specific Weight of Liquid*Cross Sectional Area of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2)/ Specific Gravity of Fluid)*(1+cos(Theta))*Velocity of Jet
Absolute Velocity for Force Exerted by Jet in Direction of Flow of Incoming Jet
Go Absolute Velocity of Issuing Jet = (sqrt(Force exerted by Jet*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))+Velocity of Jet
Efficiency of Jet
Go Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3)
Velocity of Vane for given Mass of Fluid
Go Velocity of Jet = Absolute Velocity of Issuing Jet-((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet))
Absolute Velocity for Mass of Fluid Striking Vane per Second
Go Absolute Velocity of Issuing Jet = ((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet))+Velocity of Jet
Mass of Fluid Striking Vane per Seconds
Go Fluid Mass = (Specific Weight of Liquid*Cross Sectional Area of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))/Specific Gravity of Fluid
Kinetic Energy of Jet per Second
Go Kinetic Energy = (Cross Sectional Area of Jet*Fluid Jet Velocity^3)/(2)
Work Done per Second given Efficiency of Wheel
Go Work Done = Efficiency of Jet*Kinetic Energy
Maximum Efficiency
Go Maximum Efficiency = (1/2)*(1+cos(Theta))

Maximum Efficiency Formula

Maximum Efficiency = (1/2)*(1+cos(Theta))
ηmax = (1/2)*(1+cos(θ))

What is the purpose of Efficiency?

Efficiency requires reducing the number of unnecessary resources used to produce a given output including personal time and energy.

How to Calculate Maximum Efficiency?

Maximum Efficiency calculator uses Maximum Efficiency = (1/2)*(1+cos(Theta)) to calculate the Maximum Efficiency, The Maximum Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output. Maximum Efficiency is denoted by ηmax symbol.

How to calculate Maximum Efficiency using this online calculator? To use this online calculator for Maximum Efficiency, enter Theta (θ) and hit the calculate button. Here is how the Maximum Efficiency calculation can be explained with given input values -> 0.933013 = (1/2)*(1+cos(0.5235987755982)).

FAQ

What is Maximum Efficiency?
The Maximum Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output and is represented as ηmax = (1/2)*(1+cos(θ)) or Maximum Efficiency = (1/2)*(1+cos(Theta)). Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Maximum Efficiency?
The Maximum Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output is calculated using Maximum Efficiency = (1/2)*(1+cos(Theta)). To calculate Maximum Efficiency, you need Theta (θ). With our tool, you need to enter the respective value for Theta 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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