Understanding Pressure
Pressure is defined as the force applied per unit area:
* Pressure (P) = Force (F) / Area (A)
The Relationship
* Inverse Proportionality: Pressure and area are inversely proportional. This means that if one increases, the other decreases proportionally.
* Tripling the Area: If you triple the area (A), the pressure (P) will be reduced to one-third of its original value.
Example
Let's say you have a force of 10 Newtons acting on an area of 2 square meters. The initial pressure would be:
* P = 10 N / 2 m² = 5 N/m²
If you triple the area to 6 square meters, the pressure will be:
* P = 10 N / 6 m² = 1.67 N/m² (approximately one-third of the original pressure)
Conclusion
When the surface area is tripled while keeping the force constant, the pressure is reduced to one-third of its original value.
