The formula to calculate the tipping angle (TA) is:
\[ TA = \arctan\left(\frac{H}{BL}\right) \times \left(\frac{180}{\pi}\right) \]
Where:
The tipping angle is the critical angle at which an object, such as a tower or a piece of furniture, will begin to tip over. This angle is dependent on the height of the object and the length of its base. Understanding the tipping angle is crucial for ensuring the stability and safety of structures and objects.
Consider an example where:
Using the formula to calculate the tipping angle:
\[ TA = \arctan\left(\frac{5}{2}\right) \times \left(\frac{180}{\pi}\right) = 68.20 \text{ degrees} \]
This means that the tipping angle for this example is 68.20 degrees.