Definition: This calculator determines the ballistic angle of velocity (\( \alpha \)) based on the velocity components in the Y direction (\( v_y \)) and X direction (\( v_x \)).
Purpose: It assists physicists and engineers in analyzing the trajectory angle of projectiles or objects in motion.
The calculator uses the relationship:
Where:
Explanation: Enter the velocity components in the chosen units, and the calculator computes the angle using the arctangent function. Results use scientific notation (5 decimal places) if the angle in degrees is greater than 1000 or less than 0.00001, otherwise 2 decimal places. The image does not provide sample inputs or outputs, so default values are used for testing.
Details: The ballistic angle is crucial for understanding the trajectory of projectiles, used in ballistics, aerospace, and sports science.
Tips: Enter values for Y velocity and X velocity (ensure \( v_x \neq 0 \)), then click "Calculate." Results show the angle in degrees, radians, and gradians (scientific notation with 5 decimal places if > 1000 or < 0.00001 degrees, otherwise 2 decimal places).