Maximum Velocity Calculator

Formula

The formula to calculate the Maximum Velocity (Vmax) is:

\[ \text{Vmax} = \sqrt{\frac{2 \times m \times a}{p \times A \times C}} \]

Where:

\( \text{Vmax} \) is the Maximum Velocity (m/s)
\( m \) is the Mass of the Object (kg)
\( a \) is the Total Acceleration (m/s²)
\( p \) is the Density of the Fluid (kg/m³)
\( A \) is the Cross-Sectional Area (m²)
\( C \) is the Coefficient of Drag

What is Maximum Velocity?

Maximum Velocity measures the peak velocity that an object will reach under a specific acceleration. This peak velocity is reached when the acceleration equals the force of drag divided by the mass.

Example Calculation

Let's consider an example:

Mass of the Object (m): 50 kg
Total Acceleration (a): 9.8 m/s²
Density of the Fluid (p): 1.225 kg/m³
Cross-Sectional Area (A): 0.5 m²
Coefficient of Drag (C): 0.3

Using the formula to calculate the Maximum Velocity:

\[ \text{Vmax} = \sqrt{\frac{2 \times 50 \times 9.8}{1.225 \times 0.5 \times 0.3}} \approx \sqrt{\frac{980}{0.18375}} \approx \sqrt{5334.64} \approx 73.03 \, \text{m/s} \]

This demonstrates that with the given parameters, the maximum velocity would be approximately 73.03 m/s.