Resultant Velocity Calculator

Calculate Resultant Velocity



Formula

The formula to calculate the Resultant Velocity is:

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

Where:

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

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

Where:

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:

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°.