Maximum Velocity Calculator:
Enter the values of Mass of the object m(kg), Total Accelaration, Density of the fluid a(m/s2), Cross-sectional Area A(m2) & Coefficient of drag C to determine the value of Maximum Velocity Vmax(m/s).
Maximum Velocity Formula:
The Maximum Velocity Vmax(m/s) in meter per second is equal to the SQRT of the value of 2 into multiply the Mass of the object m(kg) in kilogram and again multiply the Total Accelaration a(m/s2) in meter per second square to divided by the Density of the fluid p(kg/m3) in kilogram per meter cube and multiply the Cross-sectional Area A(m2) in meter square and again multiply the Coefficient of drag ( C ).
The Formula of Maximum Velocity can be writtern as,
Vmax(m/s) = SQRT ( 2 * m(kg) * a(m/s2) / ( p(kg/m3) * A(m2) * C ) )
Here,
Vmax(m/s) = Maximum Velocity in meter per second
m(kg) = Mass of the object in kilogram
a(m/s2) = Total Accelaration in meter per second square
p(kg/m3) = Density of the fluid in kilogram per meter cube
A(m2) = Cross-sectional Area in meter square
C = Coefficient of drag
Calculation for Maximum Velocity:
1)Determine the Maximum Velocity and given for Mass of the object = 15kg , Accelaration = 20m/s2 , Density = 1.1kg/m3 , Cross-sectional Area = 2m2 , Coefficient of drag = .45.
Answer
Vmax = √ ( 2 * m * a / ( p * A * C ) )
Vmax = √ ( 2 * 15 * 20 / ( 1.1 * 2 * .45 ) )
Vmax = 24.61m/s.
2)Determine the Cross-sectional Area and given for Mass of the object = 15kg , Accelaration = 20m/s2 , Density = 1.1kg/m3 , Coefficient of drag = .45 , Maximum Velocity = 24.61.
Answer
Vmax = √ ( 2 * m * a / ( p * A * C ) )
24.61 = √ ( 2 * 15 * 20 / ( 1.1 * A * .45 ) )
A = 2m2.