1. What is Resultant Velocity?

Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Resultant Velocity (m/s)
• \( V_f \) — Flow Velocity (m/s)
• \( \theta \) — Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow (radians)

Functions Used: sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

3. Importance of Resultant Velocity Calculation

Details: Calculating resultant velocity is crucial for understanding the combined effect of multiple velocity vectors in fluid dynamics, navigation, and various engineering applications.

4. Using the Calculator

Tips: Enter flow velocity in m/s and angle in radians. All values must be valid (flow velocity > 0, angle between 0-90 radians).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between flow velocity and resultant velocity?
A: Resultant velocity is calculated by dividing the flow velocity by the sine of the angle between the directions.

Q2: Why is the sine function used in this calculation?
A: The sine function relates the opposite side (flow velocity component) to the hypotenuse (resultant velocity) in the right triangle formed by the velocity vectors.

Q3: What are typical units for these measurements?
A: Velocity is typically measured in meters per second (m/s), while angles are measured in radians.

Q4: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for real-world applications with friction, turbulence, or other external factors.

Q5: Can this formula be used for air flow as well as water flow?
A: Yes, the formula applies to any fluid flow where the velocity vectors follow the described geometric relationship.