Effective speed ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Speed Ratio = Flight Speed/Exit Velocity
α = V/Ve
This formula uses 3 Variables
Variables Used
Effective Speed Ratio - Effective speed ratio is the ratio of aircraft forward speed to the aircraft jet velocity.
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft moves through the air.
Exit Velocity - (Measured in Meter per Second) - Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.
STEP 1: Convert Input(s) to Base Unit
Flight Speed: 111 Meter per Second --> 111 Meter per Second No Conversion Required
Exit Velocity: 248 Meter per Second --> 248 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = V/Ve --> 111/248
Evaluating ... ...
α = 0.44758064516129
STEP 3: Convert Result to Output's Unit
0.44758064516129 --> No Conversion Required
FINAL ANSWER
0.44758064516129 0.447581 <-- Effective Speed Ratio
(Calculation completed in 00.020 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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12 Efficiency Metrics Calculators

Net work output in simple gas turbine cycle
Go Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))
Change in Kinetic Energy of Jet Engine
Go Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2
Propulsive power
Go Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))
Thermal Efficiency of Jet Engines given Effective Speed Ratio
Go Thermal Efficiency = (Exit Velocity^2*(1-Effective Speed Ratio^2))/(2*Fuel Air Ratio*Fuel Calorific Value)
Overall Efficiency given Specific Fuel Consumption
Go Overall Efficiency = Flight Speed/(Thrust-Specific Fuel Consumption*Fuel Calorific Value)
Overall Efficiency of Propulsive System
Go Overall Efficiency = Thermal Efficiency*Efficiency of Transmission*Propulsive Efficiency
Propulsive efficiency given aircraft velocity
Go Propulsive Efficiency = (2*Flight Speed)/(Exit Velocity+Flight Speed)
Transmission Efficiency given Output and Input of Transmission
Go Efficiency of Transmission = Transmission Output Power/Transmission Input Power
Propulsive Efficiency given Effective Speed Ratio
Go Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)
Isentropic Efficiency of Expansion Machine
Go Turbine Efficiency = Actual Work/Isentropic Work Output
Propulsive efficiency
Go Propulsive Efficiency = Thrust Power/Propulsive Power
Effective speed ratio
Go Effective Speed Ratio = Flight Speed/Exit Velocity

Effective speed ratio Formula

Effective Speed Ratio = Flight Speed/Exit Velocity
α = V/Ve

What is effective speed ratio?

Effective speed ratio is defined as the ratio of the forward speed of aircraft to the jet speed produced by the aircraft.

How to Calculate Effective speed ratio?

Effective speed ratio calculator uses Effective Speed Ratio = Flight Speed/Exit Velocity to calculate the Effective Speed Ratio, The Effective speed ratio formula is defined as the ratio of aircraft forward velocity to the aircraft jet velocity. Effective Speed Ratio is denoted by α symbol.

How to calculate Effective speed ratio using this online calculator? To use this online calculator for Effective speed ratio, enter Flight Speed (V) & Exit Velocity (Ve) and hit the calculate button. Here is how the Effective speed ratio calculation can be explained with given input values -> 0.447581 = 111/248.

FAQ

What is Effective speed ratio?
The Effective speed ratio formula is defined as the ratio of aircraft forward velocity to the aircraft jet velocity and is represented as α = V/Ve or Effective Speed Ratio = Flight Speed/Exit Velocity. Flight Speed refers to the velocity at which an aircraft moves through the air & Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.
How to calculate Effective speed ratio?
The Effective speed ratio formula is defined as the ratio of aircraft forward velocity to the aircraft jet velocity is calculated using Effective Speed Ratio = Flight Speed/Exit Velocity. To calculate Effective speed ratio, you need Flight Speed (V) & Exit Velocity (Ve). With our tool, you need to enter the respective value for Flight Speed & Exit Velocity 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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