Takeoff Velocity Calculator:
Enter the values of Mass of the Aircraft m(kg), Accelaration of Gravity g(m/s2), Coefficient of Lift CL, Surface Area A(m2), Density of the Air d(kg/m3) to determine the value of Takeoff Velocity V(m/s) .
Takeoff Velocity Formula:
The Takeoff Velocity V(m/s) in meter per second is equal to the SQRT of the Value of 2 into multiply the Mass of the Aircraft m(kg) in kilogram and Accelaration of gravity g(m/s2) in meter per second square and is Divided by the Coefficient of lift CL is multiply to the Surface Area A(m2) in meter square and Density of the air d(kg/m3) in kilogram per meter cube.
The Equation of Takeoff Velocity can be writtern as,
V(m/s) = SQRT ( 2 * m(kg) * g(m/s2) / ( CL * A(m2) * d(kg/m3) ) )
Here,
V(m/s) = Takeoff Velocity in meter per second
m(kg) = Mass of the Aircraft in kilogram
g(m/s2) = Accelaration of gravity in meter per second square
CL = Coefficient of lift
A(m2) = Surface Area in meter square
d(kg/m3) = Density of the air in kilogram per meter cube
Takeoff Velocity Calculation :
1)Calculate the Takeoff Velocity and given for Mass of the Aircraft = 3500kg , Coefficient of lift
= .80 , Surface Area = 80m2 , Density of the air = 1.220kg/m3.
Answer
V = √( 2 * m * g / ( CL * A * d ))
V = √ ( 2 * 3500 * 9.81 / ( .80 * 80 * 1.220 ) )
V = 29.65m/s.
2)Calculate the Surface Area and given for Mass of the Aircraft = 3500kg , Coefficient of lift
= .80 , Density of the air = 1.220kg/m3 , Takeoff Velocity = 29.65m/s.
Answer
V = √( 2 * m * g / ( CL * A * d ))
29.65 = √ ( 2 * 3500 * 9.81 / ( .80 * A * 1.220 ) )
A = 80m2.