Resultant Velocity Calculator

Formula

The formula to calculate the Resultant Velocity is:

\[ Vm = \sqrt{Vxi^2 + Vyj^2} \]

Where:

\(Vm\) is the resultant velocity magnitude
\(Vxi\) are all of the x-component of velocities
\(Vyj\) are all of the y-component of velocities

The formula to calculate the angle of the resultant velocity is:

\[ Va = \tan^{-1} \left( \frac{Vyj}{Vxi} \right) \]

Where:

\(Va\) is the angle of the resultant velocity
\(Vxi\) is the magnitude of the x-component of the resultant velocity
\(Vyj\) is the magnitude of the y-component of the resultant velocity

What is Resultant Velocity?

A resultant velocity is the equivalent velocity of the combination of two or more velocities in different directions. It is often used in physics to determine the net effect of multiple velocity vectors acting on an object.

Is resultant velocity the same as final velocity? The resultant velocity of a system can be considered the same as the final velocity. The resultant velocity is another word for net velocity.

Example Calculation

Let's assume the following values:

X-Component of Velocities (Vxi) = 3
Y-Component of Velocities (Vyj) = 4

Using the formula to calculate the Resultant Velocity:

\[ Vm = \sqrt{3^2 + 4^2} = 5 \]

The Resultant Velocity Magnitude (Vm) is 5.

Using the formula to calculate the angle of the resultant velocity:

\[ Va = \tan^{-1} \left( \frac{4}{3} \right) \approx 53.13° \]

The Angle of Resultant Velocity (Va) is approximately 53.13°.