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Direction Of Resultant Force Calculator

Formula Used:

\[ \Theta = \frac{1}{\tan\left(\frac{\text{Vertical Pressure 1}}{\text{Horizontal Pressure}}\right)} \]

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1. What is the Direction of Resultant Force?

The direction of resultant force (Theta) is calculated using the ratio of vertical pressure to horizontal pressure. It represents the angle at which the resultant force acts in relation to the horizontal plane.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Theta = \frac{1}{\tan\left(\frac{\text{Vertical Pressure 1}}{\text{Horizontal Pressure}}\right)} \]

Where:

Explanation: The formula calculates the inverse tangent of the pressure ratio to determine the direction of the resultant force.

3. Importance of Theta Calculation

Details: Calculating the direction of resultant force is crucial in structural engineering, fluid mechanics, and various physics applications where understanding force vectors is essential.

4. Using the Calculator

Tips: Enter both vertical and horizontal pressure values in Pascal. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for pressure inputs?
A: Both vertical and horizontal pressure should be entered in Pascal (Pa) units for accurate results.

Q2: What does the Theta value represent?
A: Theta represents the direction angle of the resultant force measured in radians relative to the horizontal plane.

Q3: Can this calculator handle negative pressure values?
A: No, the calculator only accepts positive pressure values as negative pressures don't make physical sense in this context.

Q4: What is the range of possible Theta values?
A: Theta can range from 0 to π/2 radians (0 to 90 degrees) depending on the pressure ratio.

Q5: How accurate is this calculation?
A: The calculation provides high mathematical accuracy based on the input values, with results rounded to 9 decimal places.

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